Eigenstate Thermalisation on Average
arXiv:2104.14940 · doi:10.1103/PhysRevE.104.024135
Abstract
We consider conditions under which an isolated quantum system approaches a microcanonical equilibrium state. A key component is the eigenstate thermalisation hypothesis, which proposes that all energy eigenstates appear thermal. We introduce a weaker version of this requirement, applying only to the average distinguishability of eigenstates from the thermal state, and investigate its necessity and sufficiency for thermalisation.
arXiv comment9 pages
References in corpus (25)
- Chaos and Quantum Thermalization
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- The foundations of statistical mechanics from entanglement: Individual states vs. averages
- Equilibration, thermalisation, and the emergence of statistical mechanics in closed quantum systems
- Quantum many-body scars
- Canonical Typicality
- Quantum mechanical evolution towards thermal equilibrium
- Eigenstate Thermalization Hypothesis
- Quantum Many-Body Scars and Weak Breaking of Ergodicity
- Foundation of Statistical Mechanics under experimentally realistic conditions
- Effect of Rare Fluctuations on the Thermalization of Isolated Quantum Systems
- Equilibration of quantum systems and subsystems
- Thermalization in Nature and on a Quantum Computer
- Finite-Size Scaling Analysis of the Eigenstate Thermalization Hypothesis in a One-Dimensional Interacting Bose gas
- Canonical thermalization
- Fluctuation Theorem for Many-Body Pure Quantum States
- Thermalization and canonical typicality in translation-invariant quantum lattice systems
- Typicality of thermal equilibrium and thermalization in isolated macroscopic quantum systems
- Numerical Large Deviation Analysis of Eigenstate Thermalization Hypothesis
- Revivals imply quantum many-body scars
- Thermalization without eigenstate thermalization hypothesis after a quantum quench
- Dynamical typicality approach to eigenstate thermalization
- Equilibration of isolated many-body quantum systems with respect to general distinguishability measures
- Analytic model of thermalization: Quantum emulation of classical cellular automata
- Saturation of entropy production in quantum many-body systems