中国物理B ›› 2015, Vol. 24 ›› Issue (10): 100305-100305.doi: 10.1088/1674-1056/24/10/100305

• GENERAL • 上一篇    下一篇

Non-Markovianity of a qubit coupled with an isotropic Lipkin-Meshkov-Glick bath

田立君, 提敏敏, 翟向东   

  1. Department of Physics, Shanghai University, Shanghai 200444, China
  • 收稿日期:2015-03-08 修回日期:2015-05-03 出版日期:2015-10-05 发布日期:2015-10-05
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No. 11075101).

Non-Markovianity of a qubit coupled with an isotropic Lipkin-Meshkov-Glick bath

Tian Li-Jun (田立君), Ti Min-Min (提敏敏), Zhai Xiang-Dong (翟向东)   

  1. Department of Physics, Shanghai University, Shanghai 200444, China
  • Received:2015-03-08 Revised:2015-05-03 Online:2015-10-05 Published:2015-10-05
  • Contact: Tian Li-Jun E-mail:tianlijun@staff.shu.edu.cn
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No. 11075101).

摘要: We study the non-Markovianity of the single qubit system coupled with an isotropic Lipkin-Meshkov-Glick (LMG) model by an effective method proposed by Breuer et al. (Breuer H P and Piilo J 2009 Europhys. Lett. 85 5004). It is discovered that the non-Markovianity is concerned with the quantum phase transitions (QPTs). In the open system, we present that the strong coupling inside the bath and the strong interaction between the system and bath can enhance the degree of non-Markovianity. Moreover, the non-Markovianity is stronger and more sensitive for the bath in the symmetric phase than the symmetry broken phase.

关键词: non-Markovianity, qubit dynamics, LMG model

Abstract: We study the non-Markovianity of the single qubit system coupled with an isotropic Lipkin-Meshkov-Glick (LMG) model by an effective method proposed by Breuer et al. (Breuer H P and Piilo J 2009 Europhys. Lett. 85 5004). It is discovered that the non-Markovianity is concerned with the quantum phase transitions (QPTs). In the open system, we present that the strong coupling inside the bath and the strong interaction between the system and bath can enhance the degree of non-Markovianity. Moreover, the non-Markovianity is stronger and more sensitive for the bath in the symmetric phase than the symmetry broken phase.

Key words: non-Markovianity, qubit dynamics, LMG model

中图分类号:  (Decoherence; open systems; quantum statistical methods)

  • 03.65.Yz
05.45.-a (Nonlinear dynamics and chaos) 75.10.Pq (Spin chain models)