4.6 Article

Generalized deep thermalization for free fermions

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 Multidisciplinary Sciences

Preparing random states and benchmarking with many-body quantum chaos

Joonhee Choi et al.

Summary: Producing random quantum states is increasingly important in modern quantum science, with applications in both theory and practice. Randomly distributed, pure quantum state ensembles play a key role in understanding complexity in quantum circuits and black holes, as well as benchmarking quantum devices in tests of quantum advantage. This study solves the problem of creating random ensembles by predicting and observing their emergence naturally under time-independent Hamiltonian dynamics, and develops an efficient benchmarking protocol and fidelity estimation scheme with broad applicability.

NATURE (2023)

Article Quantum Science & Technology

Emergent Quantum State Designs from Individual Many-Body Wave Functions

Jordan S. Cotler et al.

Summary: Quantum chaos in many-body systems provides a strong connection between statistical and quantum physics, and has the ability to predict properties of complex quantum systems. This paper introduces a new perspective by showing that a single nonrandom quantum state can encode universal and highly random quantum state ensembles. These ensembles are characterized using the notion of quantum state k-designs and their universality is investigated using analytic and numerical techniques. The results offer a new approach for studying quantum chaos and have practical applications in quantum information science.

PRX QUANTUM (2023)

Article Physics, Multidisciplinary

Exact Emergent Quantum State Designs from Quantum Chaotic Dynamics

Wen Wei Ho et al.

Summary: We present a novel kind of emergent random matrix universality exhibited by quantum manybody systems at infinite temperature. The ensemble of pure states supported on a small subsystem, generated from projective measurements of the remainder of the system, approaches a universal form independent of system details. This implies that the distribution of quantum states becomes indistinguishable from uniformly random ones, opening up new ways for quantum state tomography and benchmarking.

PHYSICAL REVIEW LETTERS (2022)

Article Physics, Multidisciplinary

Solvable model of deep thermalization with distinct design times

Matteo Ippoliti et al.

Quantum (2022)

Article Optics

Experimental verification of generalized eigenstate thermalization hypothesis in an integrable system

Qin-Qin Wang et al.

Summary: Identifying the general mechanics behind the equilibration of a complex isolated quantum system towards a state described by only a few parameters has been the focus of attention. In this study, the relaxation of the spin subsystem in an isolated spin-orbit coupling quantum system is experimentally investigated, and the underlying mechanism of generalized thermalization is experimentally verified for the first time.

LIGHT-SCIENCE & APPLICATIONS (2022)

Article Physics, Multidisciplinary

Emergent quantum state designs and biunitarity in dual-unitary circuit dynamics

Pieter W. Claeys et al.

Quantum (2022)

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)

Article Astronomy & Astrophysics

Symmetry-resolved Page curves

Sara Murciano et al.

Summary: This work investigates the average entanglement entropy of symmetry resolved Page curves in the presence of a conservation law. Explicit analytic formulas are derived for two important statistical ensembles with a U(1)-symmetry, Haar-random pure states and random fermionic Gaussian states. Numerical calculations are conducted to test the predictions and discuss the subleading finite-size corrections.

PHYSICAL REVIEW D (2022)

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)

Article Materials Science, Multidisciplinary

Growth of entanglement entropy under local projective measurements

Michele Coppola et al.

Summary: The nonequilibrium dynamics of quantum systems under measurement protocols has attracted attention due to its impact on the scaling law of bipartite entanglement entropy. However, it is still unclear how these different nonequilibrium regimes appear and whether they persist in the thermodynamic limit. In this study, a one-dimensional quadratic fermionic model is used to investigate these questions, revealing a qualitative modification of the time growth of the entanglement entropy induced by local projective measurements. Nevertheless, in the thermodynamic limit, the logarithmic behavior of the entanglement entropy in the stationary regime does not survive, and a single area-law phase is identified for any finite value of the measurement rate.

PHYSICAL REVIEW B (2022)

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)

Article Physics, Fluids & Plasmas

Entanglement distribution in the quantum symmetric simple exclusion process

Denis Bernard et al.

Summary: The study focuses on the probability distribution of entanglement in the quantum symmetric simple exclusion process using a Coulomb gas approach from random matrix theory. The large-deviation function of entropy in the thermodynamic limit is analytically computed, showing distinct regimes in the entropy distribution depending on the value of the ratio pound/M. Analytic results are supported by numerical Monte Carlo simulations.

PHYSICAL REVIEW E (2021)

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)

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)

Article Physics, Multidisciplinary

Subsystem Renyi entropy of thermal ensembles for SYK-like models

Pengfei Zhang et al.

SCIPOST PHYSICS (2020)

Article Physics, Multidisciplinary

Eigenstate Entanglement Entropy in Random Quadratic Hamiltonians

Patrycja Lydzba et al.

PHYSICAL REVIEW LETTERS (2020)

Article Materials Science, Multidisciplinary

Exact dynamics in dual-unitary quantum circuits

Lorenzo Piroli et al.

PHYSICAL REVIEW B (2020)

Article Physics, Multidisciplinary

Entanglement Spreading in a Minimal Model of Maximal Many-Body Quantum Chaos

Bruno Bertini et al.

PHYSICAL REVIEW X (2019)

Article Physics, Multidisciplinary

Exact Correlation Functions for Dual-Unitary Lattice Models in 1+1 Dimensions

Bruno Bertini et al.

PHYSICAL REVIEW LETTERS (2019)

Article Astronomy & Astrophysics

Typical entanglement entropy in the presence of a center: Page curve and its variance

Eugenio Bianchi et al.

PHYSICAL REVIEW D (2019)

Article Materials Science, Multidisciplinary

Quantum entanglement of the Sachdev-Ye-Kitaev models

Chunxiao Liu et al.

PHYSICAL REVIEW B (2018)

Article Mechanics

On generalized Gibbs ensembles with an infinite set of conserved charges

B. Pozsgay et al.

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2017)

Article Physics, Multidisciplinary

Entanglement Entropy of Eigenstates of Quadratic Fermionic Hamiltonians

Lev Vidmar et al.

PHYSICAL REVIEW LETTERS (2017)

Article Materials Science, Multidisciplinary

From interacting particles to equilibrium statistical ensembles

Enej Ilievski et al.

PHYSICAL REVIEW B (2017)

Article Materials Science, Multidisciplinary

Correlations and diagonal entropy after quantum quenches in XXZ chains

Lorenzo Piroli et al.

PHYSICAL REVIEW B (2017)

Article Physics, Condensed Matter

From quantum chaos and eigenstate thermalization to statistical mechanics and thermodynamics

Luca D'Alessio et al.

ADVANCES IN PHYSICS (2016)

Article Mechanics

String-charge duality in integrable lattice models

Enej Ilievski et al.

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2016)

Article Mechanics

Quench dynamics and relaxation in isolated integrable quantum spin chains

Fabian H. L. Essler et al.

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2016)

Article Mechanics

Quasilocal charges in integrable lattice systems

Enej Ilievski et al.

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2016)

Article Mechanics

The Quench Action

Jean-Sebastien Caux

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2016)

Editorial Material Mechanics

Introduction to 'Quantum Integrability in Out of Equilibrium Systems'

Pasquale Calabrese et al.

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2016)

Article Mechanics

Generalized Gibbs ensemble in integrable lattice models

Lev Vidmar et al.

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2016)

Article Physics, Multidisciplinary

Ergodic dynamics and thermalization in an isolated quantum system

C. Neill et al.

NATURE PHYSICS (2016)

Article Physics, Multidisciplinary

Time-Resolved Observation of Thermalization in an Isolated Quantum System

Govinda Clos et al.

PHYSICAL REVIEW LETTERS (2016)

Article Multidisciplinary Sciences

Quantum thermalization through entanglement in an isolated many-body system

Adam M. Kaufman et al.

SCIENCE (2016)

Article Materials Science, Multidisciplinary

Exact steady states for quantum quenches in integrable Heisenberg spin chains

Lorenzo Piroli et al.

PHYSICAL REVIEW B (2016)

Article Physics, Multidisciplinary

Complete Generalized Gibbs Ensembles in an Interacting Theory

E. Ilievski et al.

PHYSICAL REVIEW LETTERS (2015)

Article Multidisciplinary Sciences

Experimental observation of a generalized Gibbs ensemble

Tim Langen et al.

SCIENCE (2015)

Article Physics, Multidisciplinary

Local relaxation and light-cone-like propagation of correlations in a trapped one-dimensional Bose gas

R. Geiger et al.

NEW JOURNAL OF PHYSICS (2014)

Article Optics

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

Jacopo De Nardis et al.

PHYSICAL REVIEW A (2014)

Article Physics, Multidisciplinary

Instanton Approach to Large N Harish-Chandra-Itzykson-Zuber Integrals

J. Bun et al.

PHYSICAL REVIEW LETTERS (2014)

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)

Article Physics, Multidisciplinary

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

B. Wouters et al.

PHYSICAL REVIEW LETTERS (2014)

Article Mathematics

Monotone Hurwitz Numbers in Genus Zero

I. P. Goulden et al.

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES (2013)

Article Physics, Multidisciplinary

Local emergence of thermal correlations in an isolated quantum many-body system

T. Langen et al.

NATURE PHYSICS (2013)

Article Materials Science, Multidisciplinary

Reduced density matrix after a quantum quench

Maurizio Fagotti et al.

PHYSICAL REVIEW B (2013)

Article Physics, Multidisciplinary

Time Evolution of Local Observables After Quenching to an Integrable Model

Jean-Sebastien Caux et al.

PHYSICAL REVIEW LETTERS (2013)

Article Mechanics

Quantum quench in the transverse field Ising chain: I. Time evolution of order parameter correlators

Pasquale Calabrese et al.

JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT (2012)

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)

Article Physics, Multidisciplinary

Quantum Quench in the Transverse-Field Ising Chain

Pasquale Calabrese et al.

PHYSICAL REVIEW LETTERS (2011)

Article Physics, Multidisciplinary

Colloquium: Nonequilibrium dynamics of closed interacting quantum systems

Anatoli Polkovnikov et al.

REVIEWS OF MODERN PHYSICS (2011)

Editorial Material Physics, Multidisciplinary

Focus on dynamics and thermalization in isolated quantum many-body systems

M. A. Cazalilla et al.

NEW JOURNAL OF PHYSICS (2010)

Article Multidisciplinary Sciences

Thermalization and its mechanism for generic isolated quantum systems

Marcos Rigol et al.

NATURE (2008)

Article Physics, Mathematical

Symmetric informationally complete quantum measurements

JM Renes et al.

JOURNAL OF MATHEMATICAL PHYSICS (2004)

Article Physics, Multidisciplinary

Entanglement in quantum critical phenomena

G Vidal et al.

PHYSICAL REVIEW LETTERS (2003)