The solution of the time-dependent Fokker--Planck equation of non-degenerate optical parametric amplification and its application to the optimum realization of EPR paradox
Zhao Chao-Ying(赵超樱)a)† and Tan Wei-Han(谭维翰)b)
a Institute of Materials Physics, Hangzhou Dianzi University, Zhejiang 310018, China; b Department of Physics, Shanghai University,Shanghai 200444, China
Abstract In this paper, the solution of the time-dependent Fokker--Planck equation of non-degenerate optical parametric amplification is used to deduce the condition demonstrating the Einstein--Podolsky--Rosen (EPR) paradox. The analytics and numerical calculation show the influence of pump depletion on the error in the measurement of continuous variables. The optimum realization of EPR paradox can be achieved by adjusting the parameter of squeezing. This result is of practical importance when the realistic experimental conditions are taken into consideration.
Received: 14 November 2005
Revised: 08 September 2006
Accepted manuscript online:
(Quantum fluctuations, quantum noise, and quantum jumps)
Fund: Project
supported by the National Key Laboratory of Plasma Physics
Foundation of China (Grant No 51480040203QT0601).
Cite this article:
Zhao Chao-Ying(赵超樱) and Tan Wei-Han(谭维翰) The solution of the time-dependent Fokker--Planck equation of non-degenerate optical parametric amplification and its application to the optimum realization of EPR paradox 2007 Chinese Physics 16 644
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