ISSN 0253-2778

CN 34-1054/N

open
Free to Publish. Free to Read.
Open AccessOpen Access JUSTC Original Paper

The source of diffusion equation and amplitude attenuation equation of density matrix by using coherent state representation

  • 1.

    College of Physics & Electronical Science,Hubei Normal University,Huangshi 435002,China

  • 2.

    School of Physics and Technology, Wuhan University, Wuhan 430072,China

  • 3.

    Department of Materials Science and Engineering, University of Science and Technology of China, Hefei 230026, China

Cite this:
https://doi.org/10.3969/j.issn.0253-2778.2018.05.005
  • Received Date: 03 November 2017
  • Accepted Date: 03 January 2018
  • Rev Recd Date: 03 January 2018
  • Publish Date: 31 May 2018
    Abstract

  • Abstract

    Diffusion and amplitude dissipation are two major mechanisms of photon field’s evolution, which may be used in quantum controlling and in generating new photon fields. Here two time-evolution equations for diffusion and dissipation from the physical point of view were derived, i.e., the coherent state representation was employed to demonstrate that these two equations’ classical correspondence makes common sense in general. In this way the two equations are reasonable without any doubt. Consequently, it was shown that the dissipation of a binomial state is embodied in its paramenter r0→r0e-2χt,χ is the dissipation coefficient.

    Abstract

    Diffusion and amplitude dissipation are two major mechanisms of photon field’s evolution, which may be used in quantum controlling and in generating new photon fields. Here two time-evolution equations for diffusion and dissipation from the physical point of view were derived, i.e., the coherent state representation was employed to demonstrate that these two equations’ classical correspondence makes common sense in general. In this way the two equations are reasonable without any doubt. Consequently, it was shown that the dissipation of a binomial state is embodied in its paramenter r0→r0e-2χt,χ is the dissipation coefficient.
    • FullText(HTML)
  • loading
    • References(11)
  • [1]
    LOUISELL W H, LOUISELL W H. Quantum Statistical Properties of Radiation[M]. New York: Wiley,1973, 538(2): 263-274.
    [2]
    FOX A M, FOX M. Quantum Optics: An Introduction[M]. Oxford: OUP, 2006: 35.
    [3]
    PURI R R. Mathematical Methods of Quantum Optics[M]. Berlin: Springer Science & Business Media, 2001: 195.
    [4]
    KLAUDER J, SKAGERSTAM B. Coherent States: Applications in Physics and Mathematical Physics[M]. Singapore: World Scientific, 1985: 219-219.
    [5]
    GLAUBER R J. The quantum theory of optical coherence[J]. Physical Review, 1963, 130(6): 2529-2532.
    [6]
    FAN H Y. From Quantum Mechanics to Quantum Optics: Development of the Mathematical Physics[M]. Shanghai: Shanghai Jiao Tong University Press, 2005: 111-114.
    [7]
    FAN H Y, LU H L, FAN Y. Newton-Leibniz integration for ket-bra operators in quantum mechanics and derivation of entangled state representations[J]. Annals of Physics, 2006, 321(2): 480-494.
    [8]
    FAN H Y. Operator ordering in quantum optics theory and the development of Dirac’s symbolic method[J]. J Opt B: Quant Semiclass Opt, 2003, 5(4): 147-163.
    [9]
    HU L Y, FAN H Y. Generalized positive-definite operator in quantum phase space obtained by virtue of the Weyl quantization rule[J]. Chin Phys Lett, 2009, 26(6): 060307.
    [10]
    HU L Y, FAN H Y. New approach for solving master equations in quantum optics and quantum statistics by virtue of thermo-entangled state representation[J]. Commun Theor Phys, 2009, 51(4): 729-742.
    [11]
    BERRY M V. Comment on “new representation of quantum chaos” [J]. Phys Lett A, 1984, 104: 306-308.)
    • Supplements(0)
    • Related Articles
    • Track Citations
  • 加载中

Catalog

    |
    Get Citation
    PDF
    XML
    [1]
    LOUISELL W H, LOUISELL W H. Quantum Statistical Properties of Radiation[M]. New York: Wiley,1973, 538(2): 263-274.
    [2]
    FOX A M, FOX M. Quantum Optics: An Introduction[M]. Oxford: OUP, 2006: 35.
    [3]
    PURI R R. Mathematical Methods of Quantum Optics[M]. Berlin: Springer Science & Business Media, 2001: 195.
    [4]
    KLAUDER J, SKAGERSTAM B. Coherent States: Applications in Physics and Mathematical Physics[M]. Singapore: World Scientific, 1985: 219-219.
    [5]
    GLAUBER R J. The quantum theory of optical coherence[J]. Physical Review, 1963, 130(6): 2529-2532.
    [6]
    FAN H Y. From Quantum Mechanics to Quantum Optics: Development of the Mathematical Physics[M]. Shanghai: Shanghai Jiao Tong University Press, 2005: 111-114.
    [7]
    FAN H Y, LU H L, FAN Y. Newton-Leibniz integration for ket-bra operators in quantum mechanics and derivation of entangled state representations[J]. Annals of Physics, 2006, 321(2): 480-494.
    [8]
    FAN H Y. Operator ordering in quantum optics theory and the development of Dirac’s symbolic method[J]. J Opt B: Quant Semiclass Opt, 2003, 5(4): 147-163.
    [9]
    HU L Y, FAN H Y. Generalized positive-definite operator in quantum phase space obtained by virtue of the Weyl quantization rule[J]. Chin Phys Lett, 2009, 26(6): 060307.
    [10]
    HU L Y, FAN H Y. New approach for solving master equations in quantum optics and quantum statistics by virtue of thermo-entangled state representation[J]. Commun Theor Phys, 2009, 51(4): 729-742.
    [11]
    BERRY M V. Comment on “new representation of quantum chaos” [J]. Phys Lett A, 1984, 104: 306-308.)
    Recommended articles
    TrendMD
    Volume 48 Issue 5 page: 374-377
    Cover

    Article Metrics

    Article views (42) PDF downloads(114)
    Proportional views

    Copyright © Editorial Office of JUSTC, All Rights Reserved. 皖ICP备05002528号

    Supported by: Beijing Renhe Information Technology Co. Ltd    

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return