Related papers: Non-perturbative effects in corrections to quantum master equation arising in Bogolubov-van Hove limit

Non-perturbative effects in corrections to quantum master equation arising in Bogolubov-van Hove limit

URL: http://arxiv.org/abs/2008.02820v6
Date: Sun, 23 May 2021 11:24:22 GMT
Title: Non-perturbative effects in corrections to quantum master equation arising in Bogolubov-van Hove limit
Authors: A. E. Teretenkov
Abstract summary: We show that the perturbative part of the density matrix satisfies the time-independent Gorini-Kossakowski-Sudarshan-Lindblad equation. We show that the initial condition for this master equation even fails to be a density matrix under certain resonance conditions.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
Abstract: We study the perturbative corrections to the { Gorini-Kossakowski-Sudarshan-Lindblad equation which arises in the weak coupling limit}. The spin-boson model in the rotating wave approximation at zero temperature is considered. We show that the perturbative part of the density matrix satisfies the time-independent Gorini-Kossakowski-Sudarshan-Lindblad equation for arbitrary order of the perturbation theory (if all the moments of the reservoir correlation function are finite). But to reproduce the right asymptotic precision at long times, one should use { an initial condition different} from the one for exact dynamics. Moreover, we show that the initial condition for this master equation even fails to be a density matrix under certain resonance conditions.

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