首页 > 论文 > 量子光学学报 > 24卷 > 4期(pp:357-361)

量子光学中宇称算符的新推导及新应用

New Derivation and Applications of the Parity Operator in Quantum Optics

  • 摘要
  • 论文信息
  • 参考文献
  • 被引情况
  • PDF全文
分享:

摘要

我们研究了量子光学理论中的宇称算符及其应用。我们用有序算符内的积分方法,从宇称变换的物理意义出发自然地导出量子宇称算符的明确表达式;并将宇称变换和其它量子变换(如坐标-动量互变、压缩变换等)结合在一起考虑,构建了联合变换算符。最后给出了宇称算符在构建共轭纠缠态表象的应用。

Abstract

With the application of the method of integration within ordered product of operators,we derive the parity operator of quantum optics stemming from its physical meaning.We also combine the parity transform with other quantum mechanical transforms (coordinate-momentum mutual transform、squeezing)to make up combinatorial transforms.The application of parity operator in constructing the conjugate bipartite entangled state is also presented.

Newport宣传-MKS新实验室计划
补充资料

中图分类号:O431

DOI:10.3788/jqo20182404.0101

基金项目:福建省教育厅中青年教师教育科研项目(JK 2014053);国家自然科学基金(11775208)

收稿日期:2018-04-10

修改稿日期:2018-04-16

网络出版日期:--

作者单位    点击查看

展德会:武夷学院 机电工程学院,武夷山 354300
范洪义:中国科学技术大学 材料科学与工程系,合肥 230026

联系人作者:展德会(dhzhan@mail.ustc.edu.cn)

备注:展德会(1979-), 男, 山东泰安人, 博士, 武夷学院机电工程学院讲师, 主要从事大学物理教学和量子光学、量子信息的研究工作

【1】曹昌祺.辐射和光场的量子统计理论[M].北京: 科学出版社, 2006.

【2】Campos R A,Gerry C C,Benmoussa A.Optical Interferometry at the Heisenberg Limit with Twin Fock States and Parity Measurements[J].Physical Review A,2003,68(2):487-499.DOI: 101103/PhysRevA.68023810.

【3】Anisimov P M,Raterman G M,Chiruvelli A,et al.Quantum Metrology with Two-mode Squeezed Vacuum:Parity Detection Beats the Heisenberg Limit[J].Physical Review Letters,2010,104(10):103602.DOI: 101103/PhysRevLett.104103602.

【4】Christopher C Gerry,Jihane Mimih.The Parity Operator in Quantum Optical Metrology[J].Contemporary Physics,2010,51(6):497-511.DOI:101080/001075142010509995.

【5】许兰,谭庆收.Super-sensitive Phase Estimation with Coherent Boosted Light using Parity Measurements[J].Chinese Physics B,2018(1).DOI:101088/1674-1056/27/1/014203.

【6】Huang Z,Motes K R,Anisimov P M,et al.Adaptive Phase Estimation with Two-mode Squeezed-vacuum and Parity Measurement[J].2016,95(5).DOI:101103/PhysRevA.95053837.

【7】Aravind Chiruvelli,Hwang Lee.Parity Measurements in Quantum Optical Metrology[J].Journal of Modern Optics,2011,58(11):945-953.DOI:101080/095003402011585251.

【8】邓阿丽,夏云杰.利用分束器产生的一类非经典光场[J].量子光学学报,2004,10(b09):39-39.DOI:103969/j.issn.1007-66542004.z1083.

【9】Christopher C Gerry,Richard Birrittella,Andrae Raymond,et al.Photon Statistics,Parity Measurements,and Heisenberg-limited Interferometry:Example of the Two-mode SU(1,1) ,SU(1,1) Coherent States[J].Journal of Modern Optics,2011,58(17):1509-1517.DIO:101080/095003402011607927.

【10】Anisimov P M,Lee H,Dowling J P,et al.Parity Detection Achieves the Heisenberg Limit in Interferometry with Coherent Mixed with Squeezed Vacuum Light[J].New Journal of Physics,2011,13(9):1132-1132.DIO:101088/1367-2630/13/8/083026.

【11】Veitch V,Wiebe N,Ferrie C,et al.Efficient Simulation Scheme for a Class of Quantum Optics Experiments with Non-negative Wigner Representation[J].New Journal of Physics,2012,15(1):13037-13056(20).DOI:101088/1367-2630/15/1/013037.

【12】Wu E,Wu G,Pan H,et al.Photon-number-resolving Detection at 104 μm Via Coincidence Frequency Upconversion[J].Optics Letters,2011,36(9):1722-4.DOI:101364/OL.36001722.

【13】Xu X X,Yuan H C.Optical Parametric Amplification of Single Photon:Statistical Properties and Quantum Interference[J].International Journal of Theoretical Physics,2014,53(5):1601-1613.DOI: 101007/s10773-013-1958-8.

【14】范洪义.量子力学表象与变换论[M].上海:上海科学技术出版社,1997:41-42.

【15】杨阳,范洪义.The Squeezing Entangled State of Two Particles with Unequal Mass[J].Chinese Physics B,2013,22(3):143-145.doi:101088/1674-1056/22/3/030306.

【16】李洪奇,徐世民,徐兴磊,等.广义连续变量双模纠缠态表象的构建及应用[J].中国科学,2009(8):1041-1045.DOI:101360/2009-39-8-1041.

引用该论文

ZHAN De-hui,FAN Hong-yi. New Derivation and Applications of the Parity Operator in Quantum Optics[J]. Acta Sinica Quantum Optica, 2018, 24(4): 357-361

展德会,范洪义. 量子光学中宇称算符的新推导及新应用[J]. 量子光学学报, 2018, 24(4): 357-361

您的浏览器不支持PDF插件,请使用最新的(Chrome/Fire Fox等)浏览器.或者您还可以点击此处下载该论文PDF