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Einstein——Podolsky——Rosen entanglement in time-dependent periodic pumping non-degenerate optical parametric amplifier
引用本文:赵超樱,谭维翰.Einstein——Podolsky——Rosen entanglement in time-dependent periodic pumping non-degenerate optical parametric amplifier[J].中国物理 B,2009,18(10):4143-4153.
作者姓名:赵超樱  谭维翰
作者单位:(1)Department of Physics, Shanghai University, Shanghai 200444, China; (2)Institute of Materials Physics, Hangzhou Dianzi University, Hangzhou 310018, China;The State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Opto-Electronics, Shanxi University, Taiyuan 030006, China
基金项目:Project supported by the Natural Science Foundation of Shanxi Province, China (Grant No 2006011003).
摘    要:The solution of the time-dependent periodic pumping non-degenerate optical parametric amplifier (NOPA) is derived when the pump depletion is considered both above and below thresholds. Based on this solution, the quantum fluctuation calculated shows that a high entanglement and a good squeezing degree of the parametric light beams are achieved near and above thresholds. We adopt two kinds of pump fields: (i) a continuously modulated pump with a sinusoidal envelope; (ii) a sequence of laser pulses with Gaussian envelopes. We analyse the time evolution of continuous variable entanglement by analytical and numerical calculations, and show that the periodic driven pumping also improves the degree of entanglement. The squeezing and Einstein-Podolsky-Rosen (EPR) entanglement by using the two pumping driven functions are investigated from below to above the threshold regions, the tendencies are nearly the same, and the Gaussian driven function is superior to that of the sine driven function, when the maximum squeezing and the minimum variance of quantum fluctuation are considered. In the meantime, the generalization of frequency degenerate OPA to frequency non-degenerated OPA problem is investigated.

关 键 词:EPR  entanglement  periodic  pumping  non-degenerate  optical  parametric  amplifier
收稿时间:7/3/2008 12:00:00 AM

Einstein--Podolsky--Rosen entanglement in time-dependent periodic pumping non-degenerate optical parametric amplifier
Zhao Chao-Ying and Tan Wei-Han.Einstein--Podolsky--Rosen entanglement in time-dependent periodic pumping non-degenerate optical parametric amplifier[J].Chinese Physics B,2009,18(10):4143-4153.
Authors:Zhao Chao-Ying and Tan Wei-Han
Affiliation:Institute of Materials Physics, Hangzhou Dianzi University, Hangzhou 310018, China; The State Key Laboratory of Quantum Optics and Quantum Optics Devices, Institute of Opto-Electronics, Shanxi University, Taiyuan 030006, China; Department of Physics, Shanghai University, Shanghai 200444, China 
Abstract:The solution of the time-dependent periodic pumping non-degenerate optical parametric amplifier (NOPA) is derived when the pump depletion is considered both above and below thresholds. Based on this solution, the quantum fluctuation calculated shows that a high entanglement and a good squeezing degree of the parametric light beams are achieved near and above thresholds. We adopt two kinds of pump fields: (i) a continuously modulated pump with a sinusoidal envelope; (ii) a sequence of laser pulses with Gaussian envelopes. We analyse the time evolution of continuous variable entanglement by analytical and numerical calculations, and show that the periodic driven pumping also improves the degree of entanglement. The squeezing and Einstein-Podolsky-Rosen (EPR) entanglement by using the two pumping driven functions are investigated from below to above the threshold regions, the tendencies are nearly the same, and the Gaussian driven function is superior to that of the sine driven function, when the maximum squeezing and the minimum variance of quantum fluctuation are considered. In the meantime, the generalization of frequency degenerate OPA to frequency non-degenerated OPA problem is investigated.
Keywords:EPR entanglement  periodic pumping  non-degenerate optical parametric amplifier
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