Orbital Angular Momentum Entangled Photon Pairs’ Joint Detection Probability

Abstract

Abstract: The orbital angular momentum entangled photon joint detection probability of spontaneous parametric down conversion process was studied. In the case of ignore the polarization of photon and crystal is a thin crystal , derivate the expression of the joint detection probability of orbital angular momentum entangled photons.The study has shown that:in the spontaneous parametric down conversion process, the choice of pump photon、signal photon and idler photon,the size of their parameters (waist、orbital angular momentum and radial index)affects the size of the joint probability detection of entangled photons .

Key words: quantum information, orbit angular momentum, spontaneous parametric down conversion, state function, joint detection probability

CLC Number:

TN929.12

Chen Juan，Ke Xizheng， Wang Tiecheng. Orbital Angular Momentum Entangled Photon Pairs’ Joint Detection Probability[J]. J4, 2013, 30(4): 430-438.

References

[1] L．Allen，M．W．beijersbergen，R．J．Spreeuw，J．P．Woerdman．Orbital angular momentum　of light and the transformation of Laguerre-Gaussian laser modes [J]． PhyRev.A．1992，45：8185
[2] Bouchal　Z，Celechoversky　R．Mixed vortex states of light as information carriers[ J]．New
J Phys，2004，( 6)：131
[3] Ke Xinzheng,，Lu Ning，Yang Qinglin．Research of transmission characteristics of single- photon orbital angular momentum[J]．Acta Phys Sinica，2010，59(09)：6159-6143
柯熙政，卢宁，杨秦岭．单光子轨道角动量的传输特性研究[J]．物理学报，2010，59，(09)：6159-6143
[4] Ke Xizheng，Lü Hong，Wu Jingzhi．Research progress on data coding as light’s orbital angular
momentum for optical communication[J]．Chinese Journal of Quantnm Electronics，25： 385-392
柯熙政，吕宏，武京治．基于光轨道角动量的光通信数据编码研究进展[J]．量子电子学报，2008，25(4)：382-392
[5]H E H，FRIESE M E，H ECKENBERG N R．Direct observation of transfer of angular momentum to absor pt ive particles fr om a laser beam w ith a phase singularit y[ J]．Phys Rev Lett, 1995，75( 5):826-829
[6] Sun Zhikun，Wang Faqiang et a．．Study on quantum cryptography using orbit angular momentum states of photons[J]．Acta Phys Sinica，2008，57(5)：3016-3021
苏志锟，王发强等．基于光子轨道角动量的密码通信方案研究[J]．物理学报，2008，57(5)：3016-3021
[7] Einstein A，Podolsky B，Rosen N．Can quantum-mechanical description of physical reality be considered complete?[J]．Phys.Rev，1935，47：777-780
[8] Shih，Y．H．and Sergienko，A．V．A 2-Photon Interference Experiment Using Type-II Optical Parametric Down-Conversion[J]．Phys. Lett. A．1994，191：201–207
[9] A．Mair，A．Vaziri，G．Weihsand A，.Zeilinger．Entanglement of the orbital angular
momentum states of photons[J]．Nature，2001，412：313-316
[10]Alipasha Vaziri，Gregor Weihs，Anton Zeilinger．Experimental Two-Photon，Three-Dimensional Entanglement for Quantum Communication [J]．Phys RevLett．2002，89(24)：1-4
[11] Clara I Osorio，Gabriel Molina-Terriza，Juan P Torres．Orbital angular momentum correlations of entangled paired photons[J]．J. Opt. A．2009，77：094013
[12]J．Leach，B．Jack，J．Romero，M．Ritsch-Marte　et al．． Violation of a Bell inequality in two-dimensional orbital angular momentum state-spaces[J]．Optics Express．2009，17(10)：8287-8293
[13]樊代和．自发参量下转换产生单光子对的应用以及统计特性的而研究[Ｄ]．山西：山西大学，2010．1
[14] J．P．Torres，A．Alexandrescu， Lluis Torner．Quantum spiral bandwidth of entangled two-photon states[J]．Phys RevA，2003，68(5)：050301-050303
[15]任希锋．高维纠缠和表面等离子体辅助光传送的实验研究[Ｄ]．安徽：中国科技大学，2006．26
[16] S．P．Walborn，A．N．de Oliveira，R S．Thebaldi，C．H．Monken Entanglement and conservation of orbital angular momentum in spontaneous　parametric down-conversion　[J]． Phys.Rev.A，2008，69：023811