☆ 4.8 Article

Generalized Thermalization in Quantum-Chaotic Quadratic Hamiltonians

PHYSICAL REVIEW LETTERS (2023)

相关参考文献

注意：仅列出部分参考文献，下载原文获取全部文献信息。

Article Optics

Generalized deep thermalization for free fermions

Maxime Lucas et al.

Summary: In noninteracting isolated quantum systems, local subsystems relax to nonthermal stationary states, described by a generalized Gibbs ensemble. This study shows that a recently introduced projected ensemble, which involves projective measurements on the rest of the system, can be completely characterized by the generalized Gibbs ensemble. A random ensemble called deep GGE is proposed and shown to coincide with a universal Haar random ensemble for infinite-temperature initial states. Numerical tests confirm the predictions of the deep GGE and its agreement with the projected ensemble for both infinite and finite temperatures. This work contributes to the systematic characterization of projected ensembles beyond chaotic systems and infinite temperatures.

PHYSICAL REVIEW A (2023)

添加到收藏夹

Article Physics, Fluids & Plasmas

Tight-binding billiards

Iris Ulcakar et al.

Summary: Recent works have found that many properties of tight-binding billiards match those of quantum-chaotic quadratic Hamiltonians, including the average entanglement entropy and thermalization behavior of single-particle observables. Additionally, there is a degenerate subset of single-particle eigenstates at zero energy.

PHYSICAL REVIEW E (2022)

添加到收藏夹

Article Quantum Science & Technology

Volume-Law Entanglement Entropy of Typical Pure Quantum States

Eugenio Bianchi et al.

Summary: The entanglement entropy of subsystems of typical eigenstates of quantum many-body Hamiltonians can serve as a diagnostic of quantum chaos and integrability. This tutorial provides a pedagogical introduction to the entanglement entropy of typical pure states and typical pure Gaussian states, highlighting the differences between them. It also discusses the effect of particle-number conservation on the entanglement entropy.

PRX QUANTUM (2022)

添加到收藏夹

Article Physics, Multidisciplinary

Spectral properties of three-dimensional Anderson model

J. Suntajs et al.

Summary: The study compares the level sensitivity statistics and level statistics in the Anderson model, defining two dimensionless conductance versions and finding remarkable similarities in their behavior around the localization transition. The properties of level curvatures and the spectral form factor at the critical point are also examined, with a focus on the level variance and compressibility. The scaling solution for the average level spacing ratio in the crossover regime is tested with a cost function minimization approach, showing high numerical accuracy in agreement with previous literature.

ANNALS OF PHYSICS (2021)

添加到收藏夹

Article Multidisciplinary Sciences

Generalized hydrodynamics in strongly interacting 1D Bose gases

Neel Malvania et al.

Summary: The theory of generalized hydrodynamics (GHD) shows promise in efficiently simulating nearly integrable systems, as demonstrated in experiments with ultracold 1D Bose gases. The results indicate that GHD can accurately describe the quantum dynamics of such systems, even with low particle numbers and rapid density changes.

SCIENCE (2021)

添加到收藏夹

Article Materials Science, Multidisciplinary

Single-particle eigenstate thermalization in quantum-chaotic quadratic Hamiltonians

Patrycja Lydzba et al.

Summary: The matrix elements of local and nonlocal operators in the single-particle eigenstates of two quantum-chaotic quadratic Hamiltonians exhibit eigenstate thermalization for normalized observables. Specifically, the diagonal matrix elements show vanishing eigenstate-to-eigenstate fluctuations, with their variance proportional to the inverse Hilbert space dimension. The ratio between the variance of diagonal and off-diagonal matrix elements is 2, as predicted by random matrix theory.

PHYSICAL REVIEW B (2021)

添加到收藏夹

Article Materials Science, Multidisciplinary

Page curve for fermionic Gaussian states

Eugenio Bianchi et al.

Summary: This study discusses the average entanglement entropy of pure fermionic Gaussian states in subsystems and derives its formula and asymptotic behavior. The results show that in the thermodynamic limit, the average entanglement entropy of these pure random fermionic Gaussian states shares consistency with the average over eigenstates of random quadratic Hamiltonians.

PHYSICAL REVIEW B (2021)

添加到收藏夹

Article Materials Science, Multidisciplinary

Entanglement in many-body eigenstates of quantum-chaotic quadratic Hamiltonians

Patrycja Lydzba et al.

Summary: The study presents an analytic expression for the entanglement entropy of many-body eigenstates of random quadratic Hamiltonians, and explores its applicability to local Hamiltonians and those without particle-number conservation. The results provide new theoretical support and extensions for understanding entanglement entropy in quantum systems.

PHYSICAL REVIEW B (2021)

添加到收藏夹

Article Physics, Multidisciplinary

Eigenstate Entanglement Entropy in Random Quadratic Hamiltonians

Patrycja Lydzba et al.

PHYSICAL REVIEW LETTERS (2020)

添加到收藏夹

Article Physics, Multidisciplinary

Generalized Hydrodynamics on an Atom Chip

M. Schemmer et al.

PHYSICAL REVIEW LETTERS (2019)

添加到收藏夹

Article Materials Science, Multidisciplinary

Eigenstate thermalization scaling in Majorana clusters: From chaotic to integrable Sachdev-Ye-Kitaev models

Masudul Haque et al.

PHYSICAL REVIEW B (2019)

添加到收藏夹

Article Physics, Multidisciplinary

Equilibration towards generalized Gibbs ensembles in non-interacting theories

Marek Gluza et al.

SCIPOST PHYSICS (2019)

添加到收藏夹

Article Physics, Fluids & Plasmas

Relaxation to Gaussian and generalized Gibbs states in systems of particles with quadratic Hamiltonians

Chaitanya Murthy et al.

PHYSICAL REVIEW E (2019)

添加到收藏夹

Review Optics

Thermalization and prethermalization in isolated quantum systems: a theoretical overview

Takashi Mori et al.

JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS (2018)

添加到收藏夹

Review Physics, Multidisciplinary

Eigenstate thermalization hypothesis

Joshua M. Deutsch

REPORTS ON PROGRESS IN PHYSICS (2018)

添加到收藏夹

Article Physics, Multidisciplinary

Critical Exponent of the Anderson Transition Using Massively Parallel Supercomputing

Keith Slevin et al.

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN (2018)

添加到收藏夹

Article Materials Science, Multidisciplinary

Quantum entanglement of the Sachdev-Ye-Kitaev models

Chunxiao Liu et al.

PHYSICAL REVIEW B (2018)

添加到收藏夹

Article Materials Science, Multidisciplinary

Correlations and diagonal entropy after quantum quenches in XXZ chains

Lorenzo Piroli et al.

PHYSICAL REVIEW B (2017)

添加到收藏夹

Article Physics, Condensed Matter

From quantum chaos and eigenstate thermalization to statistical mechanics and thermodynamics

Luca D'Alessio et al.

ADVANCES IN PHYSICS (2016)

添加到收藏夹

Editorial Material Mechanics

Introduction to 'Quantum Integrability in Out of Equilibrium Systems'

Pasquale Calabrese et al.

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2016)

添加到收藏夹

Article Mechanics

Generalized Gibbs ensemble in integrable lattice models

Lev Vidmar et al.

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2016)

添加到收藏夹

Article Physics, Multidisciplinary

Equilibration via Gaussification in Fermionic Lattice Systems

M. Gluza et al.

PHYSICAL REVIEW LETTERS (2016)

添加到收藏夹

Article Physics, Multidisciplinary

Transport in Out-of-Equilibrium XXZ Chains: Exact Profiles of Charges and Currents

Bruno Bertini et al.

PHYSICAL REVIEW LETTERS (2016)

添加到收藏夹

Article Physics, Multidisciplinary

Emergent Hydrodynamics in Integrable Quantum Systems Out of Equilibrium

Olalla A. Castro-Alvaredo et al.

PHYSICAL REVIEW X (2016)

添加到收藏夹

Review Physics, Multidisciplinary

Quantum many-body systems out of equilibrium

J. Eisert et al.

NATURE PHYSICS (2015)

添加到收藏夹

Article Physics, Multidisciplinary

Identifying Local and Quasilocal Conserved Quantities in Integrable Systems

Marcin Mierzejewski et al.

PHYSICAL REVIEW LETTERS (2015)

添加到收藏夹

Article Physics, Multidisciplinary

Complete Generalized Gibbs Ensembles in an Interacting Theory

E. Ilievski et al.

PHYSICAL REVIEW LETTERS (2015)

添加到收藏夹

Article Physics, Multidisciplinary

Quasilocal Conserved Operators in the Isotropic Heisenberg Spin-1/2 Chain

Enej Ilievski et al.

PHYSICAL REVIEW LETTERS (2015)

添加到收藏夹

Article Physics, Multidisciplinary

Critical exponent for the Anderson transition in the three-dimensional orthogonal universality class

Keith Slevin et al.

NEW JOURNAL OF PHYSICS (2014)

添加到收藏夹

Article Optics

Solution for an interaction quench in the Lieb-Liniger Bose gas

Jacopo De Nardis et al.

PHYSICAL REVIEW A (2014)

添加到收藏夹

Article Materials Science, Multidisciplinary

Relaxation after quantum quenches in the spin-1/2 Heisenberg XXZ chain

Maurizio Fagotti et al.

PHYSICAL REVIEW B (2014)

添加到收藏夹

Article Physics, Multidisciplinary

Nonequilibrium Dynamics of One-Dimensional Hard-Core Anyons Following a Quench: Complete Relaxation of One-Body Observables

Tod M. Wright et al.

PHYSICAL REVIEW LETTERS (2014)

添加到收藏夹

Article Physics, Multidisciplinary

Correlations after Quantum Quenches in the XXZ Spin Chain: Failure of the Generalized Gibbs Ensemble

B. Pozsgay et al.

PHYSICAL REVIEW LETTERS (2014)

添加到收藏夹

Article Physics, Multidisciplinary

Quenching the Anisotropic Heisenberg Chain: Exact Solution and Generalized Gibbs Ensemble Predictions

B. Wouters et al.

PHYSICAL REVIEW LETTERS (2014)

添加到收藏夹

Article Mechanics

The generalized Gibbs ensemble for Heisenberg spin chains

Balazs Pozsgay

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2013)

添加到收藏夹

Article Optics

Initial-state dependence of the quench dynamics in integrable quantum systems. III. Chaotic states

Kai He et al.

PHYSICAL REVIEW A (2013)

添加到收藏夹

Article Optics

Single-particle and many-body analyses of a quasiperiodic integrable system after a quench

Kai He et al.

PHYSICAL REVIEW A (2013)

添加到收藏夹

Article Materials Science, Multidisciplinary

Interaction quenches in the one-dimensional Bose gas

Marton Kormos et al.

PHYSICAL REVIEW B (2013)

添加到收藏夹

Article Materials Science, Multidisciplinary

Relaxation and thermalization after a quantum quench: Why localization is important

Simone Ziraldo et al.

PHYSICAL REVIEW B (2013)

添加到收藏夹

Article Physics, Fluids & Plasmas

Gaussian equilibration

Lorenzo Campos Venuti et al.

PHYSICAL REVIEW E (2013)

添加到收藏夹

Article Physics, Multidisciplinary

Time Evolution of Local Observables After Quenching to an Integrable Model

Jean-Sebastien Caux et al.

PHYSICAL REVIEW LETTERS (2013)

添加到收藏夹

Article Mechanics

Quantum quenches in the transverse field Ising chain: II. Stationary state properties

Pasquale Calabrese et al.

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2012)

添加到收藏夹

Article Optics

Initial-state dependence of the quench dynamics in integrable quantum systems. II. Thermal states

Kai He et al.

PHYSICAL REVIEW A (2012)

添加到收藏夹

Article Optics

Quenches in a quasidisordered integrable lattice system: Dynamics and statistical description of observables after relaxation

Christian Gramsch et al.

PHYSICAL REVIEW A (2012)

添加到收藏夹

Article Physics, Fluids & Plasmas

Thermalization and quantum correlations in exactly solvable models

Miguel A. Cazalilla et al.

PHYSICAL REVIEW E (2012)

添加到收藏夹

Article Physics, Multidisciplinary

Relaxation Dynamics of Disordered Spin Chains: Localization and the Existence of a Stationary State

Simone Ziraldo et al.

PHYSICAL REVIEW LETTERS (2012)

添加到收藏夹

Article Physics, Multidisciplinary

Constructing the Generalized Gibbs Ensemble after a Quantum Quench

Jean-Sebastien Caux et al.

PHYSICAL REVIEW LETTERS (2012)

添加到收藏夹

Article Physics, Multidisciplinary

Dynamical Correlations After a Quantum Quench

Fabian H. L. Essler et al.

PHYSICAL REVIEW LETTERS (2012)

添加到收藏夹

Article Optics

Initial-state dependence of the quench dynamics in integrable quantum systems

Marcos Rigol et al.

PHYSICAL REVIEW A (2011)

添加到收藏夹

Article Physics, Multidisciplinary

Generalized Thermalization in an Integrable Lattice System

Amy C. Cassidy et al.

PHYSICAL REVIEW LETTERS (2011)

添加到收藏夹

Article Physics, Multidisciplinary

Quantum Quench in the Transverse-Field Ising Chain

Pasquale Calabrese et al.

PHYSICAL REVIEW LETTERS (2011)

添加到收藏夹

Article Optics

Quantum quench dynamics of the Luttinger model

A. Iucci et al.

PHYSICAL REVIEW A (2009)

添加到收藏夹

Article Multidisciplinary Sciences

Thermalization and its mechanism for generic isolated quantum systems

Marcos Rigol et al.

NATURE (2008)

添加到收藏夹

Article Physics, Multidisciplinary

Exact relaxation in a class of nonequilibrium quantum lattice systems

M. Cramer et al.

PHYSICAL REVIEW LETTERS (2008)

添加到收藏夹

Article Physics, Multidisciplinary

Relaxation in a completely integrable many-body quantum system:: An ab initio study of the dynamics of the highly excited states of 1D lattice hard-core bosons

Marcos Rigol et al.

PHYSICAL REVIEW LETTERS (2007)

添加到收藏夹

Article Optics

Hard-core bosons on optical superlattices: Dynamics and relaxation in the superfluid and insulating regimes

Marcos Rigol et al.

PHYSICAL REVIEW A (2006)

添加到收藏夹

Article Physics, Multidisciplinary

Effect of suddenly turning on interactions in the Luttinger model

M. A. Cazalilla

PHYSICAL REVIEW LETTERS (2006)

添加到收藏夹

Article Multidisciplinary Sciences

A quantum Newton's cradle

T Kinoshita et al.

NATURE (2006)

添加到收藏夹

© Peeref 2019-2024. All rights reserved.