Exact density matrix of a discrete quantum system immersed in a thermal reservoir
Quantum Physics
2018-08-14 v1
Abstract
Quantum dissipation is studied for a discrete system that linearly interacts with a reservoir of harmonic oscillators at thermal equilibrium. Initial correlations between system and reservoir are assumed to be absent. The dissipative dynamics as determined by the unitary evolution of system and reservoir is described by a Kraus map consisting of an infinite number of matrices. For all Laplace-transformed Kraus matrices exact solutions are constructed in terms of continued fractions that depend on the pair correlation functions of the reservoir.
Keywords
Cite
@article{arxiv.1808.04198,
title = {Exact density matrix of a discrete quantum system immersed in a thermal reservoir},
author = {A. J. van Wonderen and L. G. Suttorp},
journal= {arXiv preprint arXiv:1808.04198},
year = {2018}
}
Comments
9 pages