Role of correlations in the thermalization of quantum systems
arXiv:1207.3700 · doi:10.1088/1367-2630/14/11/113034
Abstract
We investigate the equilibration and thermalization properties of quantum systems interacting with a finite dimensional environment. By exploiting the concept of time averaged states, we introduce a completely positive map which allows to describe in a quantitative way the dependence of the equilibrium state on the initial condition. Our results show that the thermalization of quantum systems is favored if the dynamics induces small system-environment correlations, as well as small changes in the environment, as measured by the trace distance.
15 pages, 2 figures
References in corpus (8)
- Thermalization and its mechanism for generic isolated quantum systems
- Quantum Quench in the Transverse Field Ising Chain
- Foundation of Statistical Mechanics under experimentally realistic conditions
- The Luttinger model following a sudden interaction switch-on
- Exact relaxation in a class of non-equilibrium quantum lattice systems
- Absence of Thermalization in Nonintegrable Systems
- Initial correlations in open system's dynamics: The Jaynes-Cummings model
- Nakajima-Zwanzig versus time-convolutionless master equation for the non-Markovian dynamics of a two-level system