☆ 4.8 Review

Nonequilibrium boundary-driven quantum systems: Models, methods, and properties

REVIEWS OF MODERN PHYSICS (2022)

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Article Physics, Multidisciplinary

Algebraic theory of quantum synchronization and limit cycles under dissipation

Berislav Buca et al.

Summary: The study presents a general theory based on novel algebraic criteria for analyzing synchronization phenomena in quantum systems. The theory provides exact analytical solutions for persistently oscillating eigenmodes and can be used to characterize both stable and metastable synchronization. The research demonstrates synchronization in various fermionic cold atom experiments and offers compact criteria for proving the absence of synchronization.

SCIPOST PHYSICS (2022)

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Article Physics, Multidisciplinary

From integrability to chaos in quantum Liouvillians

Alvaro Rubio-Garcia et al.

Summary: The dynamics of open quantum systems can be described by a Liouvillian, and this paper presents a family of integrable many-body Liouvillians based on Richardson-Gaudin models with a complex structure of the jump operators. The transition to chaos in terms of a two-parameter Liouvillian is studied using the spectral statistics of the complex eigenvalues of the Liouvillian operators.

SCIPOST PHYSICS CORE (2022)

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Article Materials Science, Multidisciplinary

Simulating Lindbladian evolution with non-Abelian symmetries: Ballistic front propagation in the SU(2) Hubbard model with a localized loss

Catalin Pascu Moca et al.

Summary: This study develops a non-Abelian time evolving block decimation (NA-TEBD) approach to study open systems governed by Lindbladian time evolution while utilizing an arbitrary number of Abelian or non-Abelian symmetries. The method is illustrated in a one-dimensional fermionic SU(2) Hubbard model on a semi-infinite lattice with localized particle loss at one end. The research observes a ballistic front propagation with strongly renormalized front velocity and a hydrodynamic current density profile, as well as a suppression of the particle current due to the quantum Zeno effect.

PHYSICAL REVIEW B (2022)

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Article Optics

Entanglement-enhanced quantum rectification

Kasper Poulsen et al.

Summary: This study introduces a class of quantum rectifiers that can improve performance by utilizing quantum entanglement. By coupling two small spin chains through a double-slit interface, rectification can be significantly enhanced, even in small systems, and the effect can withstand noisy environments.

PHYSICAL REVIEW A (2022)

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Article Optics

Typicality of nonequilibrium quasi-steady currents

Xiansong Xu et al.

Summary: This study investigates the typical emergence of nonequilibrium quasi-steady current and its prethermalization mechanism between two nonintegrable systems.

PHYSICAL REVIEW A (2022)

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Article Materials Science, Multidisciplinary

Dephasing-enhanced performance in quasiperiodic thermal machines

Cecilia Chiaracane et al.

Summary: Understanding and controlling quantum transport in low-dimensional systems is crucial for heat management at the nanoscale. This study investigates the effect of quasiperiodic disorder, which induces fractality in the energy spectrum, on the thermal and electric conductivities of a noninteracting model. The research finds that the presence of dephasing noise enhances transport in the subdiffusive regime and leads to multiple peaks in both thermal and electric conductivities, violating the Wiedemann-Franz law. This feature can be utilized to enhance the performance of quantum thermal machines.

PHYSICAL REVIEW B (2022)

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Article Materials Science, Multidisciplinary

Environment-induced decay dynamics of antiferromagnetic order in Mott-Hubbard systems

G. Schaller et al.

Summary: In this study, we investigate the dissipative Fermi-Hubbard model under weak tunneling and strong repulsive interactions. We find that the Mott insulator property remains stable for cold baths at intermediate chemical potentials, and the particle number relaxes quickly towards half filling. On longer time scales, the antiferromagnetic order of the Mott-Neel ground state on bipartite lattices decays, even at zero temperature. We quantify the different relaxation time scales for zero and nonzero temperatures using waiting time distributions, which can be derived from an effective (non-Hermitian) Hamiltonian.

PHYSICAL REVIEW B (2022)

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Article Physics, Fluids & Plasmas

Open quantum systems coupled to finite baths: A hierarchy of master equations

Andreu Riera-Campeny et al.

Summary: This paper investigates the dynamics of open quantum systems in contact with finite baths and presents a hierarchy of master equations to improve accuracy, even in cases of imperfect measurements of bath energy.

PHYSICAL REVIEW E (2022)

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Article Physics, Fluids & Plasmas

Transport and spectral properties of the XX plus XXZ diode and stability to dephasing

Kang Hao Lee et al.

Summary: This study investigates the transport and spectral properties of a segmented diode formed by an XX+XXZ spin chain. Numerical evidence shows that the system exhibits different transport regimes and spectral properties under different bias conditions.

PHYSICAL REVIEW E (2022)

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Article Materials Science, Multidisciplinary

Modified Matthiessen's rule: More scattering leads to less resistance

Marko Znidaric

Summary: We study the breaking of integrability by a finite density of dilute impurities, specifically the emerging diffusive transport. If transport is anomalous in the original integrable system without impurities, the diffusion constant in the nonintegrable system at low impurity density has a nontrivial power-law dependence on the impurity density. At high impurity density, adding more impurities to an already diffusive system increases transport rather than decreases it.

PHYSICAL REVIEW B (2022)

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Article Computer Science, Interdisciplinary Applications

Analysis of a density matrix renormalization group approach for transport in open quantum systems

Heitor P. Casagrande et al.

Summary: This article introduces an implementation based on matrix product state and tensor network methods for studying the complex properties of one-dimensional quantum systems coupled to multiple reservoirs. The method produces accurate results and is suitable for studying thermal transport. Through a case study using the XXZ quantum spin chain, the effectiveness of the implementation is demonstrated.

COMPUTER PHYSICS COMMUNICATIONS (2021)

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Review Physics, Multidisciplinary

Excited-state quantum phase transitions

Pavel Cejnar et al.

Summary: The paper reviews the effects of excited-state quantum phase transitions (ESQPTs) in interacting many-body systems with finite numbers of collective degrees of freedom. It classifies typical ESQPT signatures in the spectra of energy eigenstates with respect to the underlying classical dynamics, outlining a variety of quantum systems in which they occur. The thermodynamic and dynamic consequences of ESQPTs, like those in microcanonical thermodynamics, quantum quench dynamics, and in the response to nearly adiabatic or periodic driving are described. Suggestions for generalizations of the ESQPT concept in periodic lattices and in resonant tunneling systems are also mentioned.

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL (2021)

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Article Mathematics, Applied

Random-matrix theory for the Lindblad master equation

Stefan Lange et al.

Summary: Open quantum systems with Markovian dynamics are described by the Lindblad equation, and their dynamics are governed by the Lindblad superoperator. Random-matrix theory is applied to analyze the spectral properties of this superoperator, revealing the distribution of eigenvalues and correlations of neighboring eigenvalues under various dynamics scenarios.

CHAOS (2021)

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Article Physics, Multidisciplinary

A thermodynamically consistent Markovian master equation beyond the secular approximation

Patrick P. Potts et al.

Summary: Markovian master equations are a versatile tool for describing open quantum systems in the absence of memory effects. A new thermodynamically consistent Markovian master equation introduced in this study provides an accurate description by rescaling the Hamiltonian, ensuring a limited resolution for heat and enabling a consistent thermodynamic description of systems where the secular approximation breaks down.

NEW JOURNAL OF PHYSICS (2021)

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Article Physics, Multidisciplinary

Subdiffusive Phases in Open Clean Long-Range Systems

Archak Purkayastha et al.

Summary: This study reveals that a one-dimensional ordered fermionic lattice system connected to two baths with different chemical potentials at zero temperature exhibits two phases of subdiffusive conductance scaling with system size, unlike the perfectly ballistic transport in the isolated system. Interestingly, there are two chemical-potential-driven subdiffusive to ballistic phase transitions at zero temperature in the open system scenario.

PHYSICAL REVIEW LETTERS (2021)

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Article Physics, Multidisciplinary

Spectral Statistics of Non-Hermitian Matrices and Dissipative Quantum Chaos

Jiachen Li et al.

Summary: The DSFF successfully diagnoses dissipative quantum chaos and reveals correlations between complex eigenvalues; for dissipative quantum chaotic systems, the DSFF exhibits exact rotational symmetry and unique evolution features; for dissipative quantum integrable systems, the DSFF takes a constant value except for specific behaviors in certain regions of complex time.

PHYSICAL REVIEW LETTERS (2021)

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Article Physics, Multidisciplinary

Detection of Kardar-Parisi-Zhang hydrodynamics in a quantum Heisenberg spin-1/2 chain

A. Scheie et al.

Summary: Research findings show that the spin dynamics of the one-dimensional Heisenberg antiferromagnet KCuF3 can be described by the dynamical exponent z = 3/2, consistent with recent theoretical conjecture, demonstrating that low-energy inelastic neutron scattering can reveal details of emergent quantum fluid properties similar to those in higher-dimensional non-Fermi liquids.

NATURE PHYSICS (2021)

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Review Physics, Multidisciplinary

Irreversible entropy production: From classical to quantum

Gabriel T. Landi et al.

Summary: Entropy production is a crucial quantity in finite-time thermodynamic processes, serving as a tool to extend thermodynamic considerations to nonequilibrium processes. Despite the lack of a unified theory for entropy production in general processes, progress has been made through frameworks like stochastic thermodynamics and quantum information theory. This has led to the development of a new generation of experiments addressing stochastic thermodynamic processes and the impact of entropy production.

REVIEWS OF MODERN PHYSICS (2021)

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Article Physics, Multidisciplinary

Strong coupling effects in quantum thermal transport with the reaction coordinate method

Nicholas Anto-Sztrikacs et al.

Summary: The study introduces a semi-analytical approach based on the reaction coordinate method to investigate quantum thermal energy transport at the nanoscale, highlighting the significance of strong system-bath coupling effects. By constructing an enlarged system and utilizing an effective two-level system, the research examines the heat current characteristics and thermal diode effect under strong system-bath coupling conditions, showcasing the proper capture of such signatures.

NEW JOURNAL OF PHYSICS (2021)

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Article Physics, Multidisciplinary

Autonomous Implementation of Thermodynamic Cycles at the Nanoscale

Philipp Strasberg et al.

Summary: There are two paradigms for studying nanoscale engines: autonomous models and models using time-dependent control fields. While the latter offers theoretical simplifications, its practical utility has been questioned. By constructing an autonomous model, a thermodynamic cycle was implemented in a certain parameter regime, but analysis of a thermodynamic cycle for a single-electron working fluid is not justified. Further challenges remain in autonomously implementing the more studied Carnot and Otto cycles.

PHYSICAL REVIEW LETTERS (2021)

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Article Physics, Multidisciplinary

Collision Models Can Efficiently Simulate Any Multipartite Markovian Quantum Dynamics

Marco Cattaneo et al.

Summary: The paper introduces the multipartite collision model to simulate the Markovian dynamics of any multipartite open quantum system, demonstrates an analytical error bound estimation method for repeated interactions models, and proves the optimal scaling of the error in the scheme. It also provides a simple decomposition of the multipartite collision model into elementary quantum gates, showing its efficient simulation on a quantum computer with a polynomial number of resources according to the dissipative quantum Church-Turing theorem.

PHYSICAL REVIEW LETTERS (2021)

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Article Physics, Multidisciplinary

Exact Liouvillian Spectrum of a One-Dimensional Dissipative Hubbard Model

Masaya Nakagawa et al.

Summary: In this study, a one-dimensional dissipative Hubbard model with two-body loss is shown to be exactly solvable. By using a non-Hermitian extension of the Bethe-ansatz method, an exact eigenspectrum of a Liouvillian supemperator is obtained, revealing phenomena such as spin-charge separation and dissipative effects induced by the quantum Zeno effect. This research introduces a new class of exactly solvable Liouvillians of open quantum many-body systems, which can be experimentally tested using ultracold atoms subject to inelastic collisions.

PHYSICAL REVIEW LETTERS (2021)

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Review Physics, Multidisciplinary

Finite-temperature transport in one-dimensional quantum lattice models

B. Bertini et al.

Summary: Significant progress has been made in the theoretical understanding of transport properties in one-dimensional quantum lattice systems in the past decade, with Bethe-ansatz integrable models and novel simulation methods playing important roles. The discovery of quasilocal conserved quantities provides insight into the origins of finite-temperature transport behavior, while state-of-the-art theoretical methods, including matrix-product-state-based simulation and generalized hydrodynamics, are discussed. The close connection between theoretical models and recent experiments, particularly in the context of quantum magnets and ultracold quantum gases in optical lattices, is also highlighted.

REVIEWS OF MODERN PHYSICS (2021)

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Review Physics, Multidisciplinary

Simulation methods for open quantum many-body systems

Hendrik Weimer et al.

Summary: Coupling a quantum many-body system to an external environment can significantly alter its dynamics, leading to new possibilities not available in closed systems. Understanding the properties of the steady state and relaxation dynamics of open quantum many-body systems is of particular interest. New computational tools are needed to simulate these systems, as existing methods for closed systems are not directly applicable. This review discusses various approaches to simulating open many-body systems and highlights recent advances in simulating large system sizes.

REVIEWS OF MODERN PHYSICS (2021)

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Article Quantum Science & Technology

Local master equations bypass the secular approximation

Stefano Scali et al.

Summary: Master equations are critical for modeling heat flow in nanoscale thermodynamic systems. Local master equations and global master equations are often used to model interacting subsystems, with the former being viewed as more reliable for weakly interacting open quantum systems. The secular approximation underlying global master equations may destroy key dynamical features, leading to different predictions in transient heat flows compared to local master equations.

QUANTUM (2021)

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Article Mathematics, Applied

Degenerated Liouvillians and steady-state reduced density matrices

Juzar Thingna et al.

Summary: This work discusses methods for obtaining true steady states in an open quantum system, involving the use of symmetry operators as well as two approaches that do not require knowledge of the symmetry operators. These methods can be powerful numerical tools for dealing with quantum many-body complex open systems.

CHAOS (2021)

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Article Physics, Applied

Photonic Heat Rectification in a System of Coupled Qubits

A. Iorio et al.

Summary: Theoretical investigation of a quantum heat diode based on two interacting flux qubits coupled to heat baths shows that exploiting the coherent interaction between qubits can enhance the rectification factor significantly. Manipulation of rectification amplitude and direction is possible, with potential practical applications.

PHYSICAL REVIEW APPLIED (2021)

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Article Materials Science, Multidisciplinary

Dephasing enhanced transport in boundary-driven quasiperiodic chains

Artur M. Lacerda et al.

Summary: The study investigates dephasing enhanced transport in boundary-driven quasiperiodic systems. Modeling dephasing with current-preserving Lindblad dissipators on noninteracting Aubry-André-Harper and Fibonacci bulk systems, it is found that sufficiently strong dephasing can render transport diffusive and control noise enhanced transport. The interplay between dephasing and quasiperiodicity leads to a maximum diffusion coefficient for finite dephasing, highlighting the potential of combining quasiperiodic geometries and dephasing for transport control.

PHYSICAL REVIEW B (2021)

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Article Optics

Environment-assisted quantum transport and mobility edges

Donny Dwiputra et al.

Summary: The research shows that environmental noise can enhance the transport of open quantum systems, and the presence of a one-dimensional single-particle mobility edge generates strong environment-assisted quantum transport. This enhancement is a result of the cooperation between population uniformization and localization, and it exhibits a nonmonotonic dependence on the number of localized eigenstates and disorder strength.

PHYSICAL REVIEW A (2021)

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Article Materials Science, Multidisciplinary

Broadband frequency filters with quantum dot chains

Tilmann Ehrlich et al.

Summary: Research shows that optimal finite-sized quantum dot chains can accurately implement rectangular transmission functions, leading to violations of standard thermodynamic uncertainty relations and changes in heat engine performance.

PHYSICAL REVIEW B (2021)

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Article Materials Science, Multidisciplinary

From nonequilibrium Green's functions to quantum master equations for the density matrix and out-of-time-order correlators: Steady-state and adiabatic dynamics

Bibek Bhandari et al.

Summary: The study focuses on a finite quantum system under slow driving and weakly coupled to thermal reservoirs at different temperatures, deriving quantum master equations and out-of-time-order correlators. It formulates the dynamics of these quantities using perturbative expansion and Schwinger-Keldysh nonequilibrium Green's function formalism, particularly emphasizing the adiabatic dynamics and the calculation of particle and energy fluxes. The formalism is exemplified with a qutrit coupled to bosonic reservoirs and a pair of interacting quantum dots attached to fermionic reservoirs, highlighting the relevance of coherent effects.

PHYSICAL REVIEW B (2021)

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Article Materials Science, Multidisciplinary

Periodically refreshed baths to simulate open quantum many-body dynamics

Archak Purkayastha et al.

Summary: This paper develops a general formalism to access the full non-Markovian dynamics of interacting quantum many-body systems. It shows how to faithfully reconstruct exact dynamics through finite-sized baths, even in parameter regimes inaccessible by current state-of-the-art techniques.

PHYSICAL REVIEW B (2021)

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Article Optics

Unified Gorini-Kossakowski-Lindblad-Sudarshan quantum master equation beyond the secular approximation

Anton Trushechkin

Summary: The study addresses a long-standing problem in the theory of open quantum systems by providing a fully rigorous derivation of a quantum master equation that takes into account nonsecular effects while maintaining mathematical correctness and thermodynamic properties. The nonsecular terms are essential when energy levels of the system are nearly degenerate, and the derivation is based on a formalization of the weak-coupling limit for the general case.

PHYSICAL REVIEW A (2021)

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Article Optics

Self-consistent microscopic derivation of Markovian master equations for open quadratic quantum systems

Antonio D'Abbruzzo et al.

Summary: This study presents a rigorous construction method for a wide class of quantum systems, including finite size quadratic models linearly coupled to an environment modeled by independent thermal baths. The effective Lindblad operators of nondegenerate systems under a full secular approximation are shown to be the normal modes of the system, with coupling constants depending on the transformation matrices that diagonalize the Hamiltonian.

PHYSICAL REVIEW A (2021)

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Giant rectification in segmented, strongly interacting spin chains despite the presence of perturbations

Kang Hao Lee et al.

Summary: The study demonstrates that giant rectification can still be achieved in segmented chains even when each half chain is interacting, if the two interacting half chains are sufficiently different, possibly due to the emergence of an energy gap. In the thermodynamic limit, perfect rectification does not exist when each half chain is interacting.

PHYSICAL REVIEW E (2021)

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Harmonic chains and the thermal diode effect

Na'im Kalantar et al.

Summary: The study demonstrates that perfectly harmonic junctions can rectify heat under asymmetric temperature gradients, leading to the temperature-gradient harmonic oscillator diode effect. This non-linear diode effect is due to the additional constraint of imposed thermal gradient at the boundaries.

PHYSICAL REVIEW E (2021)

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Coherences and the thermodynamic uncertainty relation: Insights from quantum absorption refrigerators

Junjie Liu et al.

Summary: In quantum coherent thermal machines, system coherence can affect the noise of cooling power, confirming the thermodynamic uncertainty relation.

PHYSICAL REVIEW E (2021)

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Quantum dynamics in the interacting Fibonacci chain

Cecilia Chiaracane et al.

Summary: The study investigates whether anomalous diffusion in the noninteracting Fibonacci model persists in the presence of interactions and establishes connections to a possible transition towards a localized phase. This is done by studying real-time spread of density-density correlations, calculating the participation entropy in configuration space, and investigating the expectation value of local observables in the diagonal ensemble to corroborate the findings.

PHYSICAL REVIEW B (2021)

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Subdiffusion in a one-dimensional Anderson insulator with random dephasing: Finite-size scaling, Griffiths effects, and possible implications for many-body localization

Scott R. Taylor et al.

Summary: Transport in a boundary-driven Anderson insulator was studied, showing a transition from diffusive to subdiffusive spin transport below a critical density of dephasing sites. The critical properties of this transition in two different models were interpreted in terms of Griffiths effects, with the interplay of characteristic disorder, dephasing, and percolation problem defining the finite-size scaling. It was conjectured that the logarithmic growth of large, rare insulating regions may be responsible for the absence of heavy-tailed resistance distributions in subdiffusive interacting systems.

PHYSICAL REVIEW B (2021)

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Rectification induced by geometry in two-dimensional quantum spin lattices

Alessandra Chioquetta et al.

Summary: In this study, the role of geometrical asymmetry in spin rectification in two-dimensional quantum spin chains was investigated. It was found that even in the absence of external magnetic fields, spin current rectification can be induced by geometric shape in the XX model. This suggests that the phenomenon of rectification due to geometry may be common in quantum spin systems.

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Cristian Zanoci et al.

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Bethe ansatz approach for dissipation: exact solutions of quantum many-body dynamics under loss

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Coexistence of energy diffusion and local thermalization in nonequilibrium XXZ spin chains with integrability breaking

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Conductivity in the Heisenberg chain with next-to-nearest-neighbor interaction

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Heat transport through lattices of quantum harmonic oscillators in arbitrary dimensions

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Emergence of Glasslike Dynamics for Dissipative and Strongly Interacting Bosons

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Eigenvalue Statistics as an Indicator of Integrability of Nonequilibrium Density Operators

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Exact Matrix Product Solution for the Boundary-Driven Lindblad XXZ Chain

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Generalized Bose-Einstein Condensation into Multiple States in Driven-Dissipative Systems

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Algebraic versus Exponential Decoherence in Dissipative Many-Particle Systems

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Nonequilibrium density-matrix description of steady-state quantum transport

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Finite-Temperature Dynamical Density Matrix Renormalization Group and the Drude Weight of Spin-1/2 Chains

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Super-fermion representation of quantum kinetic equations for the electron transport problem

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Remarks on the notion of quantum integrability

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Finite-temperature magnetization transport of the one-dimensional anisotropic Heisenberg model

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PHYSICAL REVIEW B (2011)

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A general approach to quantum dynamics using a variational master equation: Application to phonon-damped Rabi rotations in quantum dots

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Transport properties of a boundary-driven one-dimensional gas of spinless fermions

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Solvable quantum nonequilibrium model exhibiting a phase transition and a matrix product representation

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Thermal Equilibration between Two Quantum Systems

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PHYSICAL REVIEW LETTERS (2011)

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Exact Nonequilibrium Steady State of a Strongly Driven Open XXZ Chain

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PHYSICAL REVIEW LETTERS (2011)

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Theory and simulation of quantum photovoltaic devices based on the non-equilibrium Green's function formalism

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Exact mapping between system-reservoir quantum models and semi-infinite discrete chains using orthogonal polynomials

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Random transition-rate matrices for the master equation

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Dynamics of the Density Matrix in Contact with a Thermal Bath and the Quantum Master Equation

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Huge negative differential conductance in Au-H2 molecular nanojunctions

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Coulomb-interaction effects in full counting statistics of a quantum-dot Aharonov-Bohm interferometer

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Efficiency of energy transfer in a light-harvesting system under quantum coherence

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Symmetry in full counting statistics, fluctuation theorem, and relations among nonlinear transport coefficients in the presence of a magnetic field

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Single mode heat rectifier: Controlling energy flow between electronic conductors

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Dynamical quantum phase transitions in the dissipative Lipkin-Meshkov-Glick model with proposed realization in optical cavity QED

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Real-time path integral approach to nonequilibrium many-body quantum systems

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Numerical renormalization group method for quantum impurity systems

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Complete positivity of a spin-1/2 master equation with memory

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PHYSICAL REVIEW A (2007)

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Mobility edges in bichromatic optical lattices

Dave J. Boers et al.

PHYSICAL REVIEW A (2007)

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Full counting statistics for noninteracting fermions:: Exact results and the Levitov-Lesovik formula

K. Schoenhammer

PHYSICAL REVIEW B (2007)

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Bound states in the continuum in a single-level Fano-Anderson model

S. Longhi

EUROPEAN PHYSICAL JOURNAL B (2007)

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Fluctuation theorem for counting statistics in electron transport through quantum junctions

Massimiliano Esposito et al.

PHYSICAL REVIEW B (2007)

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Reduced dynamics of coupled harmonic and anharmonic oscillators using higher-order perturbation theory

Markus Schroeder et al.

JOURNAL OF CHEMICAL PHYSICS (2007)

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Molecular transport junctions: vibrational effects

Michael Galperin et al.

JOURNAL OF PHYSICS-CONDENSED MATTER (2007)

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Atomtronics:: Ultracold-atom analogs of electronic devices

B. T. Seaman et al.

PHYSICAL REVIEW A (2007)

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Modeling heat transport through completely positive maps

Hannu Wichterich et al.

PHYSICAL REVIEW E (2007)

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Time evolution of Matrix Product States

Juan Jose Garcia-Ripoll

NEW JOURNAL OF PHYSICS (2006)

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Solid-state thermal rectifier

C. W. Chang et al.

SCIENCE (2006)

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Bidirectional counting of single electrons

T Fujisawa et al.

SCIENCE (2006)

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Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states

DM Basko et al.

ANNALS OF PHYSICS (2006)

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Negative differential thermal resistance and thermal transistor

BW Li et al.

APPLIED PHYSICS LETTERS (2006)

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Fluctuation theorems for quantum master equations

M Esposito et al.

PHYSICAL REVIEW E (2006)

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All-electronic coherent population trapping in quantum dots

B Michaelis et al.

EUROPHYSICS LETTERS (2006)

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Physics of carbon nanotube electronic devices

MP Anantram et al.

REPORTS ON PROGRESS IN PHYSICS (2006)

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Counting statistics of single electron transport in a quantum dot

S Gustavsson et al.

PHYSICAL REVIEW LETTERS (2006)

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Violation of the entropic area law for fermions

MM Wolf

PHYSICAL REVIEW LETTERS (2006)

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Interacting electrons in disordered wires:: Anderson localization and low-T transport -: art. no. 206603

IV Gornyi et al.

PHYSICAL REVIEW LETTERS (2005)

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Negative differential conductance and hot phonons in suspended nanotube molecular wires

E Pop et al.

PHYSICAL REVIEW LETTERS (2005)

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Orthogonal polynomials (in Matlab)

W Gautschi

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS (2005)

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Thermal transport of the XXZ chain in a magnetic field -: art. no. 184415

F Heidrich-Meisner et al.

PHYSICAL REVIEW B (2005)

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Coherent and collective quantum optical effects in mesoscopic systems

T Brandes

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS (2005)

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Entropy, entanglement, and area: Analytical results for harmonic lattice systems

MB Plenio et al.

PHYSICAL REVIEW LETTERS (2005)

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Numerical renormalization group for quantum impurities in a bosonic bath

R Bulla et al.

PHYSICAL REVIEW B (2005)

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The density-matrix renormalization group

U Schollwock

REVIEWS OF MODERN PHYSICS (2005)

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Driven quantum transport on the nanoscale

S Kohler et al.

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS (2005)

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Hysteresis, switching, and negative differential resistance in molecular junctions: A polaron model

M Galperin et al.

NANO LETTERS (2005)

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Non-Markovian theories based on a decomposition of the spectral density

U Kleinekathöfer

JOURNAL OF CHEMICAL PHYSICS (2004)

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Magnetic-field-dependent transmission phase of a double-dot system in a quantum ring

M Sigrist et al.

PHYSICAL REVIEW LETTERS (2004)

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Negative differential conductance induced by spin-charge separation

F Cavaliere et al.

PHYSICAL REVIEW LETTERS (2004)

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Heat conductivity in small quantum systems: Kubo formula in Liouville space

M Michel et al.

EUROPEAN PHYSICAL JOURNAL B (2004)

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Silicon nanopillars for mechanical single-electron transport

DV Scheible et al.

APPLIED PHYSICS LETTERS (2004)

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Current noise in a vibrating quantum dot array

C Flindt et al.

PHYSICAL REVIEW B (2004)

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Thermal diode: Rectification of heat flux

BW Li et al.

PHYSICAL REVIEW LETTERS (2004)

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Crossing of two Coulomb blockade resonances -: art. no. 125326

HA Weidenmüller

PHYSICAL REVIEW B (2003)

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Quantum shuttle in phase space

T Novotny et al.

PHYSICAL REVIEW LETTERS (2003)

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Entanglement in quantum critical phenomena

G Vidal et al.

PHYSICAL REVIEW LETTERS (2003)

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Electron transport in molecular wire junctions

A Nitzan et al.

SCIENCE (2003)

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Shuttling of electrons and Cooper pairs

RI Shekhter et al.

JOURNAL OF PHYSICS-CONDENSED MATTER (2003)

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Molecular wire junctions: Tuning the conductance

V Mujica et al.

JOURNAL OF PHYSICAL CHEMISTRY B (2003)

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Mesoscopic Fano effect in a quantum dot embedded in an Aharonov-Bohm ring

K Kobayashi et al.

PHYSICAL REVIEW B (2003)

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Signs of quantum dot-lead matrix elements: The effect on transport versus spectral properties

A Silva et al.

PHYSICAL REVIEW B (2002)

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Entanglement properties of the harmonic chain

K Audenaert et al.

PHYSICAL REVIEW A (2002)

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Interference in interacting quantum dots with spin

D Boese et al.

PHYSICAL REVIEW B (2002)

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Electron transport through a parallel double-dot system in the presence of Aharonov-Bohm flux and phonon scattering

LG Mourokh et al.

PHYSICAL REVIEW B (2002)

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Flux-dependent level attraction in double-dot Aharonov-Bohm interferometers -: art. no. 245301

B Kubala et al.

PHYSICAL REVIEW B (2002)

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Thermopower of an Aharonov-Bohm interferometer: Theoretical studies of quantum dots in the Kondo regime

TS Kim et al.

PHYSICAL REVIEW LETTERS (2002)

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Thermalizing quantum machines: Dissipation and entanglement

V Scarani et al.

PHYSICAL REVIEW LETTERS (2002)

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Controlling the energy flow in nonlinear lattices: A model for a thermal rectifier

M Terraneo et al.

PHYSICAL REVIEW LETTERS (2002)

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Fourth-order quantum master equation and its Markovian bath limit

S Jang et al.

JOURNAL OF CHEMICAL PHYSICS (2002)

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Aharonov-Bohm interferometry with interacting quantum dots:: Spin configurations, asymmetric interference patterns, bias-voltage-induced Aharonov-Bohm oscillations, and symmetries of transport coefficients -: art. no. 045316

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PHYSICAL REVIEW B (2002)

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Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms

M Greiner et al.

NATURE (2002)

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Interacting fermions in self-similar potentials

J Vidal et al.

PHYSICAL REVIEW B (2002)

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Quantum effects in Coulomb blockade

IL Aleiner et al.

PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS (2002)

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Coherent coupling of two quantum dots embedded in an Aharonov-Bohm interferometer

AW Holleitner et al.

PHYSICAL REVIEW LETTERS (2001)

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Kondo correlations and the Fano effect in closed Aharonov-Bohm interferometers -: art. no. 156803

W Hofstetter et al.

PHYSICAL REVIEW LETTERS (2001)

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Meissner effect in a bosonic ladder

E Orignac et al.

PHYSICAL REVIEW B (2001)

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Transport in a classical model of a one-dimensional Mott insulator: Influence of conservation laws

M Garst et al.

EUROPHYSICS LETTERS (2001)

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From completely positive maps to the quantum Markovian semigroup master equation

DA Lidar et al.

CHEMICAL PHYSICS (2001)

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Mott-superfluid transition in bosonic ladders

P Donohue et al.

PHYSICAL REVIEW B (2001)

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Fermi-Pasta-Ulam β model:: Boundary jumps, Fourier's law, and scaling

K Aoki et al.

PHYSICAL REVIEW LETTERS (2001)

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Coherence and partial coherence in interacting electron systems

J König et al.

PHYSICAL REVIEW LETTERS (2001)

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A quantum adiabatic evolution algorithm applied to random instances of an NP-complete problem

E Farhi et al.

SCIENCE (2001)

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Electronics using hybrid-molecular and mono-molecular devices

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NATURE (2000)

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Modulated chemical doping of individual carbon nanotubes

CW Zhou et al.

SCIENCE (2000)

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Nanomechanical oscillations in a single-C60 transistor

H Park et al.

NATURE (2000)

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Vibrationally mediated negative differential resistance in a single molecule

J Gaudioso et al.

PHYSICAL REVIEW LETTERS (2000)

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Transmission phase shift of a quantum dot with Kondo correlations

U Gerland et al.

PHYSICAL REVIEW LETTERS (2000)

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Probing entanglement and nonlocality of electrons in a double-dot via transport and noise

D Loss et al.

PHYSICAL REVIEW LETTERS (2000)

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Finite-size-scaling analyses of the chiral order in the Josephson-junction ladder with half a flux quantum per plaquette

Y Nishiyama

EUROPEAN PHYSICAL JOURNAL B (2000)

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