Foundation of Statistical Mechanics under experimentally realistic conditions
arXiv:0810.3092 · doi:10.1103/PhysRevLett.101.190403
Abstract
We demonstrate the equilibration of isolated macroscopic quantum systems, prepared in non-equilibrium mixed states with significant population of many energy levels, and observed by instruments with a reasonably bound working range compared to the resolution limit. Both properties are fulfilled under many, if not all, experimentally realistic conditions. At equilibrium, the predictions and limitations of Statistical Mechanics are recovered.
Accepted in Phys. Rev. Lett
References in corpus (15)
- Thermalization and its mechanism for generic isolated quantum systems
- 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
- The foundations of statistical mechanics from entanglement: Individual states vs. averages
- Non-equilibrium coherence dynamics in one-dimensional Bose gases
- Quench dynamics and non equilibrium phase diagram of the Bose-Hubbard model
- The approach to thermal equilibrium in quantized chaotic systems
- The Luttinger model following a sudden interaction switch-on
- Exact relaxation in a class of non-equilibrium quantum lattice systems
- From Quantum Dynamics to the Canonical Distribution: General Picture and a Rigorous Example
- Dephasing and the steady state in quantum many-particle systems
- Strongly correlated fermions after a quantum quench
- Thermal Fluctuations in Quantized Chaotic Systems
- On the Distribution of the Wave Function for Systems in Thermal Equilibrium
- Typicality of pure states randomly sampled according to the Gaussian adjusted projected measure
- On the Emergence of the Microcanonical Description from a Pure State
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