Non-perturbative treatment of open-system multi-time expectation values
in Gaussian bosonic environments
- URL: http://arxiv.org/abs/2209.00293v1
- Date: Thu, 1 Sep 2022 08:43:28 GMT
- Title: Non-perturbative treatment of open-system multi-time expectation values
in Gaussian bosonic environments
- Authors: A. Smirne, D. Tamascelli, J. Lim, M.B. Plenio, and S.F. Huelga
- Abstract summary: 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.
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.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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.
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