Dynamics of open quantum systems with initial system-reservoir correlations

TL;DR

This paper derives an exact non-Markovian master equation for open quantum systems with initial correlations, revealing their impact on dynamics and squeezing effects in a photonic cavity.

Contribution

It introduces a novel exact time-convolutionless master equation incorporating initial system-reservoir correlations for non-Markovian dynamics.

Findings

Initial correlations significantly affect non-Markovian dynamics.

Effects of initial correlations diminish in steady-state Markovian regime.

Initial two-photon correlations induce nontrivial cavity squeezing.

Abstract

In this paper, the exact dynamics of open quantum systems in the presence of initial system-reservoir correlations is investigated for a photonic cavity system coupled to a general non-Markovian reservoir. The exact time-convolutionless master equation incorporating with initial system-reservoir correlations is obtained. The non-Markovian dynamics of the reservoir and the effects of the initial correlations are embedded into the time-dependent coefficients in the master equation. We show that the effects induced by the initial correlations play an important role in the non-Markovian dynamics of the cavity but they are washed out in the steady-state limit in the Markovian regime. Moreover, the initial two-photon correlation between the cavity and the reservoir can induce nontrivial squeezing dynamics to the cavity field.