Entanglement and non-Markovianity of a spin-S system in a dephasing environment

doi:10.1088/1674-1056/23/6/060303

中国物理B ›› 2014, Vol. 23 ›› Issue (6): 60303-060303.doi: 10.1088/1674-1056/23/6/060303

Entanglement and non-Markovianity of a spin-S system in a dephasing environment

范子龙, 田晶, 曾浩生

Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, and Department of Physics, Hunan Normal University, Changsha 410081, China

收稿日期:2013-08-09 修回日期:2013-12-13 出版日期:2014-06-15 发布日期:2014-06-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11275064 and 11075050), the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20124306110003), the Program for Changjiang Scholars and Innovative Research Team in Universities of China (Grant No. IRT0964), and the Construct Program of the National Key Discipline.

Entanglement and non-Markovianity of a spin-S system in a dephasing environment

Fan Zi-Long (范子龙), Tian Jing (田晶), Zeng Hao-Sheng (曾浩生)

Key Laboratory of Low-Dimensional Quantum Structures and Quantum Control of Ministry of Education, and Department of Physics, Hunan Normal University, Changsha 410081, China

Received:2013-08-09 Revised:2013-12-13 Online:2014-06-15 Published:2014-06-15
Contact: Zeng Hao-Sheng E-mail:hszeng@hunnu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11275064 and 11075050), the Specialized Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20124306110003), the Program for Changjiang Scholars and Innovative Research Team in Universities of China (Grant No. IRT0964), and the Construct Program of the National Key Discipline.

摘要/Abstract

摘要： We study the entanglement (measured by negativity) evolution and the non-Markovianity for the dynamical process of a spin-S system embedded in dephasing environments. The exact analytical solution is presented, which shows that the decoherence function governs the evolutions of coherence, entanglement, and the non-Markovianity of the corresponding dynamical processes. For Ohmic and sub-Ohmic reservoirs, the negativity decreases monotonically in time and the corresponding dynamics is Markovian. While for super-Ohmic reservoirs with non-monotonic decoherence function, the negativity appears as the phenomenon of revival and the corresponding dynamics is non-Markovian. The relation between non-Markovianity and the system dimension is studied.

关键词: entanglement, non-Markovianity, spin-S system, dephasing

Abstract: We study the entanglement (measured by negativity) evolution and the non-Markovianity for the dynamical process of a spin-S system embedded in dephasing environments. The exact analytical solution is presented, which shows that the decoherence function governs the evolutions of coherence, entanglement, and the non-Markovianity of the corresponding dynamical processes. For Ohmic and sub-Ohmic reservoirs, the negativity decreases monotonically in time and the corresponding dynamics is Markovian. While for super-Ohmic reservoirs with non-monotonic decoherence function, the negativity appears as the phenomenon of revival and the corresponding dynamics is non-Markovian. The relation between non-Markovianity and the system dimension is studied.

Key words: entanglement, non-Markovianity, spin-S system, dephasing

中图分类号: (Decoherence; open systems; quantum statistical methods)

03.65.Yz

42.50.Dv (Quantum state engineering and measurements) 42.50.Lc (Quantum fluctuations, quantum noise, and quantum jumps)

范子龙, 田晶, 曾浩生. Entanglement and non-Markovianity of a spin-S system in a dephasing environment[J]. 中国物理B, 2014, 23(6): 60303-060303.

Fan Zi-Long (范子龙), Tian Jing (田晶), Zeng Hao-Sheng (曾浩生). Entanglement and non-Markovianity of a spin-S system in a dephasing environment[J]. Chin. Phys. B, 2014, 23(6): 60303-060303.

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Entanglement and non-Markovianity of a spin-S system in a dephasing environment

Entanglement and non-Markovianity of a spin-S system in a dephasing environment

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