A1 Refereed original research article in a scientific journal
Role of correlations in the thermalization of quantum systems
Authors: Smirne A, Laine EM, Breuer HP, Piilo J, Vacchini B
Publisher: IOP PUBLISHING LTD
Publication year: 2012
Journal: New Journal of Physics
Journal name in source: NEW JOURNAL OF PHYSICS
Journal acronym: NEW J PHYS
Article number: ARTN 113034
Volume: 14
Number of pages: 17
ISSN: 1367-2630
DOI: https://doi.org/10.1088/1367-2630/14/11/113034
Self-archived copy’s web address: https://arxiv.org/abs/1207.3700
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 us 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.
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 us 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.