Role of correlations in the thermalization of quantum systems
: Smirne A, Laine EM, Breuer HP, Piilo J, Vacchini B
Publisher: IOP PUBLISHING LTD
: 2012
: New Journal of Physics
: NEW JOURNAL OF PHYSICS
: NEW J PHYS
: ARTN 113034
: 14
: 17
: 1367-2630
DOI: https://doi.org/10.1088/1367-2630/14/11/113034
: https://arxiv.org/abs/1207.3700
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.