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Perturbation Theory for Open Two-Level Nonlinear Quantum Systems

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Indexed by:期刊论文

Date of Publication:2011-07-15

Journal:COMMUNICATIONS IN THEORETICAL PHYSICS

Included Journals:Scopus、SCIE、ISTIC

Volume:56

Issue:1

Page Number:67-70

ISSN No.:0253-6102

Key Words:perturbation theory; decoherence; nonlinear system

Abstract:Perturbation theory is an important tool in quantum mechanics. In this paper, we extend the traditional perturbation theory to open nonlinear two-level systems, treating decoherence parameter gamma as a perturbation. By this virtue, we give a perturbative solution to the master equation, which describes a nonlinear open quantum system. The results show that for small decoherence rate gamma, the ratio of the nonlinear rate C to the tunneling coefficient V (i.e., r = C/V) determines the validity of the perturbation theory. For small ratio r, the perturbation theory is valid, otherwise it yields wrong results.

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