Research on models of open quantum system interacted with bath

Abstract

Abstract:

Based on the exact non-Markovian system dynamic equation about the reduced density matrix of quantum system, which is a non-closed, unequal in time, integral-differential equation, we derived a closed, equal in time, differential Markovian master equation about the reduced density matrix of quantum system by means of Born approximation and Markov approximation. The Lindblad form of the Markovian master equation, the GKS expression for the convenience of testing positivity, the Bloch sphere expression for single qubit system, the Kraus expression describing dissipative quantum system without specific information of environment were analyzed respectively. Four kinds of Markov approximations that can remove the non-Markovian property were compared. We analyzed the post-Markovian master equation that can meet the perfect requirements of dissipative dynamic when the Markov approximation is not suitable to the open quantum system. When energy exchange is existed between the heat bath and the quantum system, while the total system composed of the bath and the quantum system has a conservation of energy, we presented the dynamic equation of open quantum system when the bath does not have a constant state, and the Markovian master equation was derived by the Markov approximation.

Key words: quantum optics, open quantum system, Markov approximation, Markovian master equation, non-Markovian master equation

CLC Number:

O411
TP15

YANG Jie, CONG Shuang. Research on models of open quantum system interacted with bath[J]. J4, 2011, 28(6): 660-673.

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