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

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

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.

Keywords: entanglement non-Markovianity spin-S system dephasing

Received: 09 August 2013
Revised: 13 December 2013
Accepted manuscript online:

PACS:	03.65.Yz	(Decoherence; open systems; quantum statistical methods)
	42.50.Dv	(Quantum state engineering and measurements)
	42.50.Lc	(Quantum fluctuations, quantum noise, and quantum jumps)

Fund: 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.

Corresponding Authors: Zeng Hao-Sheng
E-mail: hszeng@hunnu.edu.cn

Cite this article:

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 2014 Chin. Phys. B 23 060303

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

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