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三参数双模压缩粒子数态的量子特性

卢道明

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三参数双模压缩粒子数态的量子特性

卢道明

The quantum properties of three-parameter two-mode squeezed number state

Lu Dao-Ming
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  • 利用有序算符内的积分技术, 给出了三参数双模压缩算符, 构建了三参数双模压缩粒子数态, 并且研究了该量子态的压缩效应、反聚束效应和对Cauchy-Schwartze不等式的违背. 给出了量子态产生压缩效应和反聚束效应的条件, 以及三参数双模压缩粒子数态的Wigner函数的解析式. 讨论了参数变化和光子数变化对压缩效应、反聚束效应和Cauchy-Schwartze不等式的违背的影响. 研究结果表明: 随光子数的增大, 压缩效应、反聚束效应和光场两模间的非经典相关性减弱; 另一方面, 随参数模的增大, 压缩效应增强, 但反聚束效应和光场两模间的非经典相关性却减弱.
    The three-parameter two-mode squeezed number state is proposed by the technique of integration in an ordered product of operators. Its squeezing, antibunching effect and Cauchy-Schwartz inequality are analysed. The conditions under which squeezing or antibunching effect is displayed, are given. The effects of the complex parameter and photon number on squeezing , antibunching effect and Cauchy-Schwartz inequality of the field are discussed. The results indicate that its squeezing, antibunching effect and the degree of violation of Cauchy-Schwartz inequality of two-mode field are all weakened with the increase of photon number; on the other hand, its antibunching effect and the degree of violation of Cauchy-Schwartz inequality of two-mode field are weakened with the increase of the complex parameter modulus, while its squeezing is strengthened with the increase of the complex parameter modulus.
    • 基金项目: 福建省自然科学基金(批准号: 2011J01018)资助的课题.
    • Funds: Project supported by by the Natural Science Foundation of Fujian Province, China (Grant No. 2011J01018).
    [1]

    Lu D M 2008 Chin. Phys. B 17 618

    [2]

    Lan H J, Zeng L H, Wei L F 2002 Acta Sin. Quantum Opt. 8 174 (in Chinese) [兰海江, 曾令宏, 韦联福 2002 量子光学学报 8 174]

    [3]

    Ma S J, Luo W W 2012 Chin. Phys. B 21 024203

    [4]

    Huang C Q, Han D A, Lu H, Zhou M X 2010 Acta Sin. Quantum Opt. 16 170 (in Chinese) [黄纯青, 韩定安, 路洪, 周民轩 2010 量子光学学报 16 170]

    [5]

    Wang X Q, Lu H X, Zhao J Q 2011 Acta Phys. Sin. 60 110301 (in Chinese) [王晓芹, 逯怀新, 赵加强 2011 物理学报 60 110301]

    [6]

    Yu H J, Du J M 2011 Acta Sin. Quantum Opt. 17 280 (in Chinese) [余海军, 杜建明 2011 量子光学学报 17 280]

    [7]

    Sun Z H, Fan H Y 2000 Acta Phys. Sin. 49 74 (in Chinese) [孙治湖, 范洪义 2000 物理学报 49 74]

    [8]

    Li H Q, Xu S M, Xu X L, Jiang J J 2009 Acta Phys. Sin. 58 3806 (in Chinese) [李洪奇, 徐世民, 徐兴磊, 蒋继建 2009 物理学报 58 3806]

    [9]

    Song J, Fan H Y 2010 Acta Phys. Sin. 59 6806 (in Chinese) [宋军, 范洪义 2010 物理学报 59 6806]

    [10]

    Fan H Y, Yu G C 2002 Phys. Rev. A 65 033829

    [11]

    Fan H Y 2002 Phys. Rev. A 65 064102

    [12]

    Yang M, Wang J S, Meng X G 2011 Int. J. Theor. Phys. 50 3348

    [13]

    Fan H Y 2005 From Quantum Mechanics to Quantum Optics (Shanghai: Shanghai Jiaotong University Press) p72 (in Chinese) [范洪义 2005 从量子力学到量子光学 (上海: 海交通大学出版社) 第72页]

    [14]

    Meng X G, Wang J S, Fan H Y 2007 Phys. Lett. A 363 12

  • [1]

    Lu D M 2008 Chin. Phys. B 17 618

    [2]

    Lan H J, Zeng L H, Wei L F 2002 Acta Sin. Quantum Opt. 8 174 (in Chinese) [兰海江, 曾令宏, 韦联福 2002 量子光学学报 8 174]

    [3]

    Ma S J, Luo W W 2012 Chin. Phys. B 21 024203

    [4]

    Huang C Q, Han D A, Lu H, Zhou M X 2010 Acta Sin. Quantum Opt. 16 170 (in Chinese) [黄纯青, 韩定安, 路洪, 周民轩 2010 量子光学学报 16 170]

    [5]

    Wang X Q, Lu H X, Zhao J Q 2011 Acta Phys. Sin. 60 110301 (in Chinese) [王晓芹, 逯怀新, 赵加强 2011 物理学报 60 110301]

    [6]

    Yu H J, Du J M 2011 Acta Sin. Quantum Opt. 17 280 (in Chinese) [余海军, 杜建明 2011 量子光学学报 17 280]

    [7]

    Sun Z H, Fan H Y 2000 Acta Phys. Sin. 49 74 (in Chinese) [孙治湖, 范洪义 2000 物理学报 49 74]

    [8]

    Li H Q, Xu S M, Xu X L, Jiang J J 2009 Acta Phys. Sin. 58 3806 (in Chinese) [李洪奇, 徐世民, 徐兴磊, 蒋继建 2009 物理学报 58 3806]

    [9]

    Song J, Fan H Y 2010 Acta Phys. Sin. 59 6806 (in Chinese) [宋军, 范洪义 2010 物理学报 59 6806]

    [10]

    Fan H Y, Yu G C 2002 Phys. Rev. A 65 033829

    [11]

    Fan H Y 2002 Phys. Rev. A 65 064102

    [12]

    Yang M, Wang J S, Meng X G 2011 Int. J. Theor. Phys. 50 3348

    [13]

    Fan H Y 2005 From Quantum Mechanics to Quantum Optics (Shanghai: Shanghai Jiaotong University Press) p72 (in Chinese) [范洪义 2005 从量子力学到量子光学 (上海: 海交通大学出版社) 第72页]

    [14]

    Meng X G, Wang J S, Fan H Y 2007 Phys. Lett. A 363 12

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出版历程
  • 收稿日期:  2012-04-14
  • 修回日期:  2012-05-13
  • 刊出日期:  2012-11-05

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