中国物理B ›› 2017, Vol. 26 ›› Issue (12): 120301-120301.doi: 10.1088/1674-1056/26/12/120301

• GENERAL • 上一篇    下一篇

Analytical and numerical investigations of displaced thermal state evolutions in a laser process

Chuan-Xun Du(杜传勋), Xiang-Guo Meng(孟祥国), Ran Zhang(张冉), Ji-Suo Wang(王继锁)   

  1. 1. Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, College of Physics and Engineering, Qufu Normal University, Qufu 273165, China;
    2. School of Physical Science and Information Engineering, Liaocheng University, Liaocheng 252059, China
  • 收稿日期:2017-06-20 修回日期:2017-08-13 出版日期:2017-12-05 发布日期:2017-12-05
  • 通讯作者: Ji-Suo Wang E-mail:jswang@qfnu.edu.cn
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 11347026) and the Natural Science Foundation of Shandong Province, China (Grant Nos. ZR2016AM03 and ZR2017AM011).

Analytical and numerical investigations of displaced thermal state evolutions in a laser process

Chuan-Xun Du(杜传勋)1, Xiang-Guo Meng(孟祥国)2, Ran Zhang(张冉)1, Ji-Suo Wang(王继锁)1,2   

  1. 1. Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, College of Physics and Engineering, Qufu Normal University, Qufu 273165, China;
    2. School of Physical Science and Information Engineering, Liaocheng University, Liaocheng 252059, China
  • Received:2017-06-20 Revised:2017-08-13 Online:2017-12-05 Published:2017-12-05
  • Contact: Ji-Suo Wang E-mail:jswang@qfnu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 11347026) and the Natural Science Foundation of Shandong Province, China (Grant Nos. ZR2016AM03 and ZR2017AM011).

摘要: We investigate how displaced thermal states (DTSs) evolve in a laser channel. Remarkably, the initial DTS, an example of a mixed state, still remains mixed and thermal. At long times, they finally decay to a highly classical thermal field only related to the laser parameters κ and g. The normal ordering product of density operator of the DTS in the laser channel leads to obtaining the analytical time-evolution expressions of the photon number, Wigner function, and von Neumann entropy. Also, some interesting results are presented via numerically investigating these explicit time-dependent expressions.

关键词: displaced thermal state, laser process, infinitive operator-sum representation, photon number, Wigner function, von Neumann entropy

Abstract: We investigate how displaced thermal states (DTSs) evolve in a laser channel. Remarkably, the initial DTS, an example of a mixed state, still remains mixed and thermal. At long times, they finally decay to a highly classical thermal field only related to the laser parameters κ and g. The normal ordering product of density operator of the DTS in the laser channel leads to obtaining the analytical time-evolution expressions of the photon number, Wigner function, and von Neumann entropy. Also, some interesting results are presented via numerically investigating these explicit time-dependent expressions.

Key words: displaced thermal state, laser process, infinitive operator-sum representation, photon number, Wigner function, von Neumann entropy

中图分类号:  (Quantum mechanics)

  • 03.65.-w
42.50.Dv (Quantum state engineering and measurements) 03.65.Wj (State reconstruction, quantum tomography)