New approach for deriving the exact time evolution of density operator for diffusive anharmonic oscillator and its Wigner distribution function

doi:10.1088/1674-1056/22/3/030307

Abstract Using the thermal entangled state representation, we solve the master equation of a diffusive anharmonic oscillator (AHO) to obtain the exact time evolution formula for the density operator in the infinitive operator-sum representation. We present a new evolution formula of the Wigner function (WF) for any initial state of the diffusive AHO by converting the calculation of the WF to an overlap between two pure states in an enlarged Fock space. It is found that this formula brings us much convenience to investigate the WF's evolution of any known initial state. As applications, this formula is used to obtain the evolution of the WF for a coherent state and the evolution of the photon-number distribution of the diffusive AHO.

Keywords: diffusive anharmonic oscillator thermal entangled state representation infinitive operator-sum representation Wigner function

Received: 19 June 2012
Revised: 21 August 2012
Accepted manuscript online:

PACS:	03.65.Ud	(Entanglement and quantum nonlocality)
	42.50.Dv	(Quantum state engineering and measurements)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11147009 and 11244005) and the Natural Science Foundation of Shandong Province, China (Grant No. ZR2012AM004).

Corresponding Authors: Meng Xiang-Guo
E-mail: mengxiangguo1978@sina.com

Cite this article:

Meng Xiang-Guo (孟祥国), Wang Ji-Suo (王继锁), Liang Bao-Long (梁宝龙) New approach for deriving the exact time evolution of density operator for diffusive anharmonic oscillator and its Wigner distribution function 2013 Chin. Phys. B 22 030307

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New approach for deriving the exact time evolution of density operator for diffusive anharmonic oscillator and its Wigner distribution function

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