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湮灭算符任意次幂本征态的Wigner函数

蓝海江 韦联福

蓝海江, 韦联福. 湮灭算符任意次幂本征态的Wigner函数[J]. 西南交通大学学报, 2009, 22(6): 940-945.
引用本文: 蓝海江, 韦联福. 湮灭算符任意次幂本征态的Wigner函数[J]. 西南交通大学学报, 2009, 22(6): 940-945.
LAN Haijiang, WEI Lianfu. Wigner Functions for Eigenstates of Arbitrary Power of Annihilation Operators[J]. Journal of Southwest Jiaotong University, 2009, 22(6): 940-945.
Citation: LAN Haijiang, WEI Lianfu. Wigner Functions for Eigenstates of Arbitrary Power of Annihilation Operators[J]. Journal of Southwest Jiaotong University, 2009, 22(6): 940-945.

湮灭算符任意次幂本征态的Wigner函数

基金项目: 

国家自然科学基金资助项目(10874142)

详细信息
    作者简介:

    蓝海江(1968- ),男,副教授,研究方向为量子光学等,电话:13807821080,E-mail:lanhaijiang@163.com

    通讯作者:

    韦联福(1965- ),男,教授,博士生导师,研究方向为信号与信息处理、凝聚态物理等,电话:15882120348;028-87602625,E-mail:lfwei@swjtu.cn

Wigner Functions for Eigenstates of Arbitrary Power of Annihilation Operators

  • 摘要: 用在Fock态表象下的Wigner函数重构了湮灭算符任意次幂本征态的Wigner函数.分析了这些函数在相空间中的分布规律,并据此讨论了湮灭算符任意次幂的本征态的非经典特性.结果表明,Wigner函数的分布与湮灭算符本征值的大小有关;湮灭算符1次幂的本征态(即相干态)为准经典态(其Wigner函数的取值总是非负的),而其高次幂的本征态则具有明显的非经典特性(其Wigner函数均出现了负值).

     

  • WEI Lianfu,WANG Shunjin,JIE Quanlin.Excited states of coherent state and their nonclassical properties[J].Chinese Science Bulletin,1997,42 (20):1686-1688.[2] WEI Lianfu,WANG Shunjin,Xi Dingping.Inverse q-boson operators and their relation to photon-added and photon-depleted states[J].J.Opt.B:Quantum Semiclass Opt.,1999,1(6):619-623.[3] 蓝海江,曾令宏,韦联福.减光子偶、奇相干态及其量子统计特性[J].量子光学学报,2002,8(4):172-174.LAN Haijiang,ZENG Linghong,WEI Lianfu.Photon-depleted even and odd coherent states and their quantum statistical properties[J].Acta Sinica Quantum Optica,2002,8(4):172-174.[4] 徐兴磊.介观互感容感耦合双谐振电路的量子涨落[J].西南交通大学学报,2007,42(4):478-483.XU Xinglei.Quantum fluctuations of mesoscopic double resonance circuit with mutual inductance and capacitance-inductance coupling[J].Journal of Southwest Jiaotong University,2007,42(4):478-483.[5] 张淼,贾焕玉.量子可控非门制备过程中的纠缠度[J].西南交通大学学报,2008,43(2):264-269.ZHANG Miao,JIA Huanyu.Entanglement degree during generation of quantum continlled-NOT gates[J].Journal of Southwest Jiaotong University,2008,43 (2):264-269.[6] 张淼,贾焕玉.非Lamb-Dicke近似下制备囚禁冷离子的振动相干态[J].物理学报,2008,57(2):880-886.ZHANG Miao,JIA Huanyu.Generations of coherent states of single trapped cold ion beyond the Lamb-Dicke limit[J].Acta Phys.Sin.,2008,57 (2):880-886.[7] CLAUHER R J.The quantum theory of optical coherence[J].Phys.Rev.,1963,130(6):2529-2539.[8] HILLERY M.Amplitude-squared squeezing of the electromagnetic field[J].Phys.Rev.A,1987,36(8):3796-3802.[9] 彭石安,郭光灿.光子消灭算符高次幂的本征态及其性质[J].物理学报,1990,39(1):51-60.PENG Shian,GUO Guangcan.Orthonormalized eigenstates of operator aN and their properties[J].Acta Phys.Sin.,1990,39(1):51-60.[10] 彭石安,苑晋宁,封开印.a4的正交归一本征态及其量子统计性质[J].量子电子学报,1989,6(4):306-311.PENG Shian,YAN Jinning,FENG Kaiyin.Orthonormalization eigenstates of a4 and their quantum statistical properties[J].Chinese Journal of Quantum Electronics,1989,6(4):306-311.[11] SUN Jinzuo,WANG Jisuo,WANG Chuankui.Orthonormalized eigenstates of cubic and highter powers of the annihilation operator[J].Phys.Rev.A,1991,44(5):3369-3372.[12] SUN Jinzuo,WANG Jisuo,WANG Chuankui.Generation of orthonomalized eigenstates of the operator ak(for k≥3) from coherent state and higher-oeder squeezing[J].Phys.Rev.A,1992,46 (3):1700-1704.[13] 马爱群,陈历学,顾樵.a5的正交归一本征态及其量子统计特征[J].哈尔滨工业大学学报,1991,23(6):31-39.MA Aiqun,CHEN Lixue,GU Qiao.Orthonormalization eigenstates of a5 and their quantum statistical characteristics[J].Journal of Harbin Institute of Technology,1992,12(1):18-26.[14] PARIGI V,ZAVATTA A,KIM M,et al.Probing quantum commutation rules by addition and subtraction of single photons to/from a light field[J].Science,2007,317:1890-1893.[15] TANAŠR,MIRANOWIEZ A,GANTSOG T.Quantum phase properties of nonlinear optical phenomena[J].Progress in Optics,1996,35(6):355-446.
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出版历程
  • 收稿日期:  2009-04-27
  • 刊出日期:  2010-01-20

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