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arXiv · 1605.07497

A weak-coupling master equation for arbitrary initial conditions

Jad C. Halimeh·Ines de Vega
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Abstract

The structure of the initial system-environment state is fundamental to determining the nature and characteristics of the evolution of such an open quantum system. The usual assumption is to consider that the initial system-environment state is separable. Here, we go beyond this simple case and derive the evolution equations, up to second order in a weak-coupling expansion, that describe the evolution of the reduced density matrix of the system for any arbitrary system-environment initial state. The structure of these equations allows us to determine the initial conditions for which a Lindblad form can be recovered once applying the Markov and secular approximations.

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Jad C. Halimeh, Ines de Vega. 2016-05-24. A weak-coupling master equation for arbitrary initial conditions. https://doi.org/10.1103/physreva.95.052108

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