Density matrix of chaotic quantum systems
arXiv:1808.06881 · doi:10.1140/epjb/e2020-10074-9
Abstract
The nonequilibrium dynamics in chaotic quantum systems denies a fully understanding up to now, even if thermalization in the long-time asymptotic state has been explained by the eigenstate thermalization hypothesis which assumes a universal form of the observable matrix elements in the eigenbasis of Hamiltonian. It was recently proposed that the density matrix elements have also a universal form, which can be used to understand the nonequilibrium dynamics at the whole time scale, from the transient regime to the long-time steady limit. In this paper, we numerically test these assumptions for density matrix in the models of spins.
arXiv comment6 pages, 5 figures
References in corpus (21)
- Many-Body Physics with Ultracold Gases
- Chaos and Quantum Thermalization
- Thermalization and its mechanism for generic isolated quantum systems
- Nonequilibrium dynamics of closed interacting quantum systems
- From Quantum Chaos and Eigenstate Thermalization to Statistical Mechanics and Thermodynamics
- Random Matrix Theories in Quantum Physics: Common Concepts
- Metal-insulator transition in a weakly interacting many-electron system with localized single-particle states
- 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
- Quantum many-body systems out of equilibrium
- Interacting electrons in disordered wires: Anderson localization and low-temperature transport
- The approach to thermal equilibrium in quantized chaotic systems
- Long-Time Behavior of Macroscopic Quantum Systems: Commentary Accompanying the English Translation of John von Neumann's 1929 Article on the Quantum Ergodic Theorem
- Statistical Theory of Finite Fermi-Systems Based on the Structure of Chaotic Eigenstates
- Entropy of isolated quantum systems after a quench
- The Eigenstate Thermalization Hypothesis and Out of Time Order Correlators
- Eigenstate thermalization in the two-dimensional transverse field Ising model
- Anomalous Thouless energy and critical statistics on the metallic side of the many-body localization transition
- Eigenstate thermalization in the two-dimensional transverse field Ising model: II. Off-diagonal matrix elements of observables
- Eigenstate Thermalization in Systems with Spontaneously Broken Symmetry
- Gaussian quantum fluctuations in interacting many particle systems
- A theory of nonequilibrium steady states in quantum chaotic systems