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Article
Mechanics
Jacopo De Nardis et al.
Summary: This article reviews recent advances in exact results for dynamical correlation functions and related transport coefficients in interacting integrable models at large scales. The discussion includes topics such as Drude weights, conductivity and diffusion constants, as well as linear and nonlinear response in equilibrium and non-equilibrium states. The authors consider the problems from the perspectives of the general hydrodynamic theory of many-body systems and form-factor expansions in integrable models, showing how they provide a comprehensive and consistent set of exact methods for extracting large scale behaviors. Various applications in integrable spin chains and field theories are also discussed.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2022)
Article
Mechanics
Isabelle Bouchoule et al.
Summary: This article reviews the recent progress in the generalized hydrodynamics (GHD) behavior of the one-dimensional Bose gas with contact repulsive interactions, known as the Lieb-Liniger gas. The theory and key concepts of the Lieb-Liniger gas, including rapidities and rapidity distribution, are introduced. The asymptotic regimes and approximate descriptions of the Lieb-Liniger gas are presented. Experimental results in cold atom experiments, including the realization of the Lieb-Liniger model and tests of the GHD theory, are discussed. The effects of atom losses and some open questions are also reviewed.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2022)
Article
Physics, Multidisciplinary
Alvise Bastianello et al.
Summary: We investigate emergent quantum dynamics of the tilted Ising chain in the regime of a weak transverse field. Within the leading order perturbation theory, the Hilbert space is fragmented into exponentially many decoupled sectors. We find that the sector made of isolated magnons is integrable with dynamics being governed by a constrained version of the XXZ spin Hamiltonian. As a consequence, when initiated in this sector, the Ising chain exhibits ballistic transport on unexpectedly long timescales.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Multidisciplinary
Kemal Bidzhiev et al.
Summary: This paper investigates the properties of quantum jammed state and its time evolution. By performing localized measurement in a jammed state, it is found that jamming is locally restored, but local observables exhibit nontrivial time evolution on macroscopic scales, without returning to their initial values.
PHYSICAL REVIEW LETTERS
(2022)
Article
Quantum Science & Technology
P. Scholl et al.
Summary: This study utilizes the resonant dipole-dipole interaction between Rydberg atoms and a periodic microwave field to engineer XXZ spin Hamiltonians with tunable anisotropies. The experimental results demonstrate the potential applications of this technique in quantum simulation, quantum information processing, and quantum sensing.
Article
Materials Science, Multidisciplinary
Tibor Rakovszky et al.
Summary: We introduce the dissipation-assisted operator evolution (DAOE) method for calculating transport properties of strongly interacting lattice systems in the high temperature regime. By applying an artificial dissipation to long operators, we are able to track the dynamics to long times and estimate the physical diffusion constant with high precision.
Article
Materials Science, Multidisciplinary
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.
Article
Mechanics
Axel Cortes Cubero et al.
Summary: Our review covers the microscopic foundations of Generalized Hydrodynamics (GHD) through form factor expansions and the availability of a self-conserved current as two orthogonal approaches.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2021)
Article
Mechanics
Alvise Bastianello et al.
Summary: The article reviews recent progress in understanding nearly integrable models within the framework of generalized hydrodynamics (GHD). It discusses the thermalization process after integrability is broken and the transition from GHD to standard hydrodynamics.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2021)
Article
Physics, Multidisciplinary
Hansveer Singh et al.
Summary: In this study, the spectral and transport properties of many-body quantum systems with conserved charges and kinetic constraints were investigated. Through random unitary circuits and tensor network methods, various universality classes of dynamical behavior were identified, showing diffusive, subdiffusive, quasilocalized, and localized dynamics under different constraints, with quantum systems with Fredkin constraints exhibiting anomalous transport behavior with a dynamical exponent z similar or equal to 8/3.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Multidisciplinary
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.
Article
Multidisciplinary Sciences
Sebastian Geier et al.
Summary: Controlling interactions is crucial in quantum engineering of many-body systems. By applying time-periodic driving, a natural many-body Hamiltonian can be transformed into an effective target Hamiltonian with different dynamics. Demonstration in an experimental setting shows modification of relaxation behavior of total spin by changing symmetry properties of the effective Hamiltonian through spin manipulations.
Review
Physics, Multidisciplinary
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)
Article
Physics, Multidisciplinary
Lenart Zadnik et al.
Article
Physics, Multidisciplinary
Balazs Pozsgay
Summary: The model presented is a one-dimensional reversible block cellular automaton with time evolution dictated by a period 3 cycle of update rules, displaying rich dynamics. The system features three types of stable particles and factorized multi-particle scattering. The model is embedded into the canonical framework of Yang-Baxter integrability by proving the existence of a commuting set of diagonal-to-diagonal transfer matrices, involving a new type of Lax operator.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2021)
Article
Mechanics
Vir B. Bulchandani et al.
Summary: This review summarizes recent advances in understanding anomalous transport in spin chains, particularly through the lens of integrability. Numerical methods based on tensor-network techniques have revealed anomalous transport in many canonical integrable spin chains, such as the Heisenberg model. The framework of generalized hydrodynamics has been extended to explain some of the underlying mechanisms of anomalous transport, with discussions on similarities and differences with other contexts. Further, potential transport anomalies in systems with emergent or approximate integrability are briefly reviewed, with ongoing research on anomalous transport and dynamics.
JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT
(2021)
Article
Physics, Multidisciplinary
Joseph Durnin et al.
Summary: Motivated by experiments on cold atomic gases, a quantum kinetic approach to weakly perturbed integrable models out of equilibrium is developed. Using exact matrix elements, an analytical approach to real-time dynamics is established, providing predictions for physical quantities' time evolution and conceptual links between quantum many-body dynamics and classical theory. Specific perturbations that do not cause thermalization in the weakly perturbed regime are identified.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Multidisciplinary
Jacopo De Nardis et al.
Summary: The paper discusses the phenomenon of superdiffusive finite-temperature transport observed in integrable systems with non-Abelian global symmetries, attributing it to giant Goldstone-like quasiparticles stabilized by integrability. It argues that these giant quasiparticles have long lifetimes and divergent contributions to the low-frequency conductivity, even in systems that are not perfectly integrable. The study finds that for certain types of perturbations, the conductivity behaves similar to omega(-1/3) for translation-invariant static perturbations and similar to |log omega| for noisy perturbations, with a presumed crossover to regular diffusion beyond low-order perturbation theory.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Fluids & Plasmas
Balazs Pozsgay et al.
Summary: The folded XXZ model is a simple quantum integrable model with remarkable physical properties, including constant scattering lengths for particles, fragmented Hilbert space leading to large degeneracies in the spectrum, and multiple descriptions of exact thermodynamics. Quantum quenches in the model vary in complexity, with cases of easy dynamics and breakdown of equilibration due to degeneracies. Connections to T T over bar and hard rod deformations from quantum field theories are also discussed.
Article
Materials Science, Multidisciplinary
Tyler LeBlond et al.
Summary: Through the study of two one-dimensional lattice models, it is found that the onset of quantum chaos at infinite temperature exhibits universal behavior, with the onset marked by maxima of typical fidelity susceptibilities scaling with the square of the inverse average level spacing. The strength of integrability- or localization-breaking perturbations decreases with increasing system size.
Article
Physics, Multidisciplinary
Lenart Zadnik et al.
Summary: The study focuses on an effective Hamiltonian that describes the time evolution of states on intermediate time scales in the strong-coupling limit of the spin-1/2 XXZ model. The model, to leading order, is integrable with local interactions. Using a coordinate Bethe Ansatz, the authors solve the model completely, demonstrating the existence of exponentially many jammed states and estimating their stability under the leading correction to the effective Hamiltonian. Ground state properties of the model are also discussed.
SCIPOST PHYSICS CORE
(2021)
Article
Materials Science, Multidisciplinary
Johannes Feldmeier et al.
Summary: This study investigates the late time relaxation dynamics of a pure U(1) lattice gauge theory, revealing a rich phenomenology of the system's nonequilibrium properties such as fracton-like mobility constraints and a novel mechanism for nonergodic behavior in the thermodynamic limit. Additionally, the research explores the role of geometry and the emergence of statistically localized integrals of motion with anomalous hydrodynamics, providing insight into transport in other lattice gauge theories.
Article
Materials Science, Multidisciplinary
Javier Lopez-Piqueres et al.
Summary: The study developed a general kinetic theory framework to describe the hydrodynamics of strongly interacting, nonequilibrium quantum systems, employing a generalized relaxation-time approximation for computing nonequilibrium transport with surprisingly accurate results. Despite its simplicity, the framework was able to capture phenomena unique to strongly interacting systems, such as distinct charge and energy diffusion constants.
Article
Chemistry, Multidisciplinary
Michal Rams et al.
CHEMISTRY-A EUROPEAN JOURNAL
(2020)
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Zhi-Cheng Yang et al.
PHYSICAL REVIEW LETTERS
(2020)
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(2020)
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Paul Niklas Jepsen et al.
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Marko Znidaric
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Aaron J. Friedman et al.
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Sarang Gopalakrishnan et al.
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(2019)
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NATURE COMMUNICATIONS
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