Einstein-Podolsky-Rosen Steering for Mixed Entangled Coherent States

Entropy

Hichem Eleuch¹  Sayed Abdel-Khalek²  Kamal Berrada³  Mariam Algarni⁴ 

[1] Department of Applied Physics and Astronomy, University of Sharjah, Sharjah 27272, United Arab Emirates;Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia;Department of Physics, College of Science, Imam Mohammad Ibn Saud Islamic University (IMSIU), Riyadh 11432, Saudi Arabia;Mathematical Sciences Department, College of Science, Princess Nourah bint Abdulrahman University, Riyadh 11564, Saudi Arabia;

关键词: quantum steering;    bell nonlocality;    EPR paradox;    decoherence;    entangled states;   

DOI  :  10.3390/e23111442

来源: DOAJ

【 摘 要 】

By using the Born Markovian master equation, we study the relationship among the Einstein–Podolsky–Rosen (EPR) steering, Bell nonlocality, and quantum entanglement of entangled coherent states (ECSs) under decoherence. We illustrate the dynamical behavior of the three types of correlations for various optical field strength regimes. In general, we find that correlation measurements begin at their maximum and decline over time. We find that quantum steering and nonlocality behave similarly in terms of photon number during dynamics. Furthermore, we discover that ECSs with steerability can violate the Bell inequality, and that not every ECS with Bell nonlocality is steerable. In the current work, without the memory stored in the environment, some of the initial states with maximal values of quantum steering, Bell nonlocality, and entanglement can provide a delayed loss of that value during temporal evolution, which is of interest to the current study.

【 授权许可】

Unknown