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Wigner-function Evolution and Photon-number Decay of Quantum States in a Laser Cavity with the Kerr Medium

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Abstract

Using the thermal-entangled state representation theory, we solve the master equation describing a laser cavity with the Kerr medium, and find that the analytical evolution law of the density operator is governed by the infinitive Kraus operator-sum representation. Also, we obtain a new evolution formula of the Wigner function (WF) for any initial state in this cavity by rewriting the WF as a scalar product between two pure states. In term of the new WF formula, the WF evolution of the initial coherent and number states and the decay of photon number are also presented.

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Authors and Affiliations

  1. Shandong Provincial Key Laboratory of Optical Communication Science and Technology, School of Physical Science and Information Engineerig, Liaocheng University, Liaocheng, 252059, China

    Meng-Yan Wu, Heng-Yun Lv, Bao-Long Liang & Xiang-Guo Meng

  2. Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, College of Physics and Engineering, Qufu Normal University, Qufu, 273165, China

    Ji-Suo Wang

Authors
  1. Meng-Yan Wu
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  2. Heng-Yun Lv
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  3. Ji-Suo Wang
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  4. Bao-Long Liang
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  5. Xiang-Guo Meng
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Correspondence to Xiang-Guo Meng.

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Project supported by the National Natural Science Foundation of China (Grant No.11347026), the Natural Science Foundation of Shandong Province (Grant Nos. ZR2016AM03 and ZR2017MA011)

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Wu, MY., Lv, HY., Wang, JS. et al. Wigner-function Evolution and Photon-number Decay of Quantum States in a Laser Cavity with the Kerr Medium. Int J Theor Phys 59, 350–360 (2020). https://doi.org/10.1007/s10773-019-04328-9

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  • DOI: https://doi.org/10.1007/s10773-019-04328-9

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