International Journal of Theoretical Physics

, Volume 58, Issue 3, pp 824–835 | Cite as

Dynamics of the Geometric Measure of Quantum Discord and Bell Non-Locality in a Ring Cavity Induced by Spontaneous Emission

  • Yu-Jie Liu
  • Li Zheng
  • Ying Shi
  • Tai-Yu ZhengEmail author


By virture of taking into account the two atoms’ spatial motion, we evaluate the dynamics of geometric measure of quantum discord(GMQD) and Bell nonlocality of a two-qubit system in an ideal single-mode ring cavity for two types of extended Werner-like(EWL) internal states. It is shown that both Bell nonlocality and GMQD are closely related to the initial entanglement parameter, the initial state’s purity and the wave packet’s width. We also find that, for the initial state \(W_{\pm }^{{\acute {}}}\), the sudden disappearance and sudden regeneration of GMQD and Bell nonlocality both happen, while for the initial state W±, the phenomena of sudden disappearance and sudden regeneration of Bell nonlocality still exist, but that of GMQD does not occur, that is, GMQD decays to zero asymptotically as time goes on. What’s more, we have proved that the preservation of GMQD is much longer than that of Bell-inequality violation.


The geometric measure of quantum discord (GMQD) Bell nonlocality Entanglement Spontaneous emission 



This work is supported by the National Natural Science Foundation of China under Grant No. 11105021, 11175044 and 11647102.


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Authors and Affiliations

  1. 1.Information Science and Engineering CollegeDalian Polytechnic UniversityDalianChina
  2. 2.Northeast Normal UniversityChangchunChina

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