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Non-Markovian dynamics of a qubit in a reservoir: different solutions of non-Markovian master equation |
Ding Bang-Fu (丁邦福), Wang Xiao-Yun (王小云), Tang Yan-Fang (唐艳芳), Mi Xian-Wu (米贤武), Zhao He-Ping (赵鹤平) |
College of Physical Science and Information Engineering, Jishou University, Jishou 416000, China |
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Abstract We present a non-Markovian master equation for a qubit interacting with a general reservoir, which is derived according to the Nakajima-Zwanzig and the time convolutionless projection operator technique. The non-Markovian solutions and Markovian solution of dynamical decay of a qubit are compared. The results indicate the validity of non-Markovian approach in different coupling regimes and also show that the Markovian master equation may not precisely describe the dynamics of an open quantum system in some situation. The non-Markovian solutions may be effective for many qubits independently interacting with the heated reservoirs.
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Received: 21 October 2010
Revised: 12 February 2011
Accepted manuscript online:
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PACS:
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03.65.Yz
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(Decoherence; open systems; quantum statistical methods)
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42.50.Lc
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(Quantum fluctuations, quantum noise, and quantum jumps)
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Fund: Project supported by the Natural Science Foundation of Hunan Province of China (Grant No. 09JJ6011) and the Natural Science Foundation of the Education Department of Hunan Province of China (Grant Nos. 06C652 and 07C528). |
Cite this article:
Ding Bang-Fu (丁邦福), Wang Xiao-Yun (王小云), Tang Yan-Fang (唐艳芳), Mi Xian-Wu (米贤武), Zhao He-Ping (赵鹤平) Non-Markovian dynamics of a qubit in a reservoir: different solutions of non-Markovian master equation 2011 Chin. Phys. B 20 060304
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