Thermalization of isolated quantum many-body system and the role of entanglement
arXiv:2009.10416 · doi:10.1016/j.physleta.2024.129501
Abstract
Thermalization of an isolated quantum system has been a nontrivial problem since the early days of quantum mechanics. In generic isolated quantum systems, nonequilibrium dynamics is expected to result in thermalization, indicating the emergence of statistical mechanics from quantum dynamics. However, what feature of a many-body quantum system facilitates quantum thermalization is still not well understood. Recent experimental advancements have shown that entanglement may act as a thermalizing agent, not universally but particularly. Here, we theoretically show that the thermal averages of an observable in an isolated many-body quantum system with a large number of degrees of freedom emerge from the entangled energy eigenstates of the system. In particular, we show that the expectation values of an observable in entangled energy eigenstates and its marginals are equivalent to the microcanonical and canonical averages of the observable.
arXiv comment16 pages, Published in Physics Letters A
References in corpus (36)
- Quantum entanglement
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- Many-body localization, thermalization, and entanglement
- Relaxation in a Completely Integrable Many-Body Quantum System: An Ab Initio Study of the Dynamics of the Highly Excited States of Lattice Hard-Core Bosons
- Evolution of Entanglement Entropy in One-Dimensional Systems
- Measuring entanglement entropy through the interference of quantum many-body twins
- Quantum thermalization through entanglement in an isolated many-body system
- The foundations of statistical mechanics from entanglement: Individual states vs. averages
- Probing the relaxation towards equilibrium in an isolated strongly correlated 1D Bose gas
- Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
- Light-cone-like spreading of correlations in a quantum many-body system
- Quantum Thermodynamics
- Non-equilibrium coherence dynamics in one-dimensional Bose gases
- The second laws of quantum thermodynamics
- Experimental Observation of a Generalized Gibbs Ensemble
- Eigenstate Thermalization Hypothesis
- The approach to thermal equilibrium in quantized chaotic systems
- Thermalization and prethermalization in isolated quantum systems: a theoretical overview
- Entanglement and thermodynamics after a quantum quench in integrable systems
- Local emergence of thermal correlations in an isolated quantum many-body system
- From Quantum Dynamics to the Canonical Distribution: General Picture and a Rigorous Example
- Quantum Chaos and Thermalization in Isolated Systems of Interacting Particles
- Fluctuation Theorem for Arbitrary Open Quantum Systems
- Alternatives to Eigenstate Thermalization
- Unifying fast scrambling, thermalization and entanglement through the measurement of FOTOCs in the Dicke model
- A derivation (and quantification) of the third law of thermodynamics
- Quantum Refrigerator and the III-law of Thermodynamics
- A Discrete Four Stroke Quantum Heat Engine Exploring the Origin of Friction
- Eigenstate Thermalization in a Locally Perturbed Integrable System
- Thermodynamic entropy of a many body energy eigenstate
- Typicality of thermal equilibrium and thermalization in isolated macroscopic quantum systems
- Thermal equilibrium of a macroscopic quantum system in a pure state
- Hamiltonian of mean force for damped quantum systems
- Thermodynamics of quantum systems strongly coupled to a heat bath I. Operator thermodynamic functions and relations
- Classicality with(out) decoherence: Concepts, relation to Markovianity, and a random matrix theory approach