Time evolution of distribution functions in dissipative environments

doi:10.1088/1674-1056/20/7/074204

Abstract By introducing the thermal entangled state representation, we investigate the time evolution of distribution functions in the dissipative channels by bridging the relation between the initial distribution function and the any time distribution function. We find that most of them are expressed as such integrations over the Laguerre—Gaussian function. Furthermore, as applications, we derive the time evolution of photon-counting distribution by bridging the relation between the initial distribution function and the any time photon-counting distribution, and the time evolution of R-function characteristic of nonclassicality depth.

Keywords: entangled state representation dissipative environment photon-counting distribution R-function

Received: 19 November 2010
Revised: 06 January 2011
Accepted manuscript online:

PACS:	42.50.-p	(Quantum optics)
	03.65.-w	(Quantum mechanics)

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Hu Li-Yun(胡利云), Chen Fei(陈菲), Wang Zi-Sheng(王资生), and Fan Hong-Yi(范洪义) Time evolution of distribution functions in dissipative environments 2011 Chin. Phys. B 20 074204

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