中国物理B ›› 2015, Vol. 24 ›› Issue (7): 70304-070304.doi: 10.1088/1674-1056/24/7/070304

• GENERAL • 上一篇    下一篇

Explicit solution of diffusion master equation under the action of linear resonance force via the thermal entangled state representation

姚飞, 王继锁, 徐天牛   

  1. Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, College of Physics and Engineering, Qufu Normal University, Qufu 273165, China
  • 收稿日期:2015-01-11 修回日期:2015-01-31 出版日期:2015-07-05 发布日期:2015-07-05
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11347026, 11147009, and 11244005), the Natural Science Foundation of Shandong Province, China (Grant Nos. ZR2013AM012 and ZR2012AM004), and the Scientific Research Project of Liaocheng, China.

Explicit solution of diffusion master equation under the action of linear resonance force via the thermal entangled state representation

Yao Fei (姚飞), Wang Ji-Suo (王继锁), Xu Tian-Niu (徐天牛)   

  1. Shandong Provincial Key Laboratory of Laser Polarization and Information Technology, College of Physics and Engineering, Qufu Normal University, Qufu 273165, China
  • Received:2015-01-11 Revised:2015-01-31 Online:2015-07-05 Published:2015-07-05
  • Contact: Wang Ji-Suo E-mail:jswang@mail.qfnu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant Nos. 11347026, 11147009, and 11244005), the Natural Science Foundation of Shandong Province, China (Grant Nos. ZR2013AM012 and ZR2012AM004), and the Scientific Research Project of Liaocheng, China.

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摘要： Using the well-behaved features of the thermal entangled state representation, we solve the diffusion master equation under the action of a linear resonance force, and then obtain the infinitive operator-sum representation of the density operator. This approach may also be effective for treating other master equations. Moreover, we find that the initial pure coherent state evolves into a mixed thermal state after passing through the diffusion process under the action of the linear resonance force.

关键词: diffusion process, linear resonance force, thermal state representation, infinitive operator-sum representation

Abstract: Using the well-behaved features of the thermal entangled state representation, we solve the diffusion master equation under the action of a linear resonance force, and then obtain the infinitive operator-sum representation of the density operator. This approach may also be effective for treating other master equations. Moreover, we find that the initial pure coherent state evolves into a mixed thermal state after passing through the diffusion process under the action of the linear resonance force.

Key words: diffusion process, linear resonance force, thermal state representation, infinitive operator-sum representation

中图分类号:  (Entanglement and quantum nonlocality)

  • 03.65.Ud
42.50.Dv (Quantum state engineering and measurements)