Non-perturbative treatment of open-system multi-time expectation values in Gaussian bosonic environments
Abstract
We determine the conditions for the equivalence between the multi-time expectation values of a general finite-dimensional open quantum system when interacting with, respectively, an environment undergoing a free unitary evolution or a discrete environment under a free evolution fixed by a proper Gorini-Kossakowski-Lindblad-Sudarshan generator. We prove that the equivalence holds if both environments are bosonic and Gaussian and if the one- and two-time correlation functions of the corresponding interaction operators are the same at all times. This result leads to a non-perturbative evaluation of the multi-time expectation values of operators and maps of open quantum systems interacting with a continuous set of bosonic modes by means of a limited number of damped modes, thus setting the ground for the investigation of open-system multi-time quantities in fully general regimes.
Keywords
Cite
@article{arxiv.2209.00293,
title = {Non-perturbative treatment of open-system multi-time expectation values in Gaussian bosonic environments},
author = {A. Smirne and D. Tamascelli and J. Lim and M. B. Plenio and S. F. Huelga},
journal= {arXiv preprint arXiv:2209.00293},
year = {2023}
}
Comments
16 pages, 1 figure. Submission to a special issue of 'Open Systems and Information Dynamics' devoted to the memory of Prof. Andrzej Kossakowski