Journal of East China Normal University(Natural Science) ›› 2022, Vol. 2022 ›› Issue (4): 131-138.doi: 10.3969/j.issn.1000-5641.2022.04.013

• Physics and Electronics • Previous Articles    

Bell correlation of separated two-mode squeezed Bose-Einstein condensates

Xin MENG1, Valentin IVANNIKOV1,2, Tim BYRNES1,2,*()   

  1. 1. State Key Laboratory of Precision Spectroscopy, East China Normal University, Shanghai 200241, China
    2. Department of Physics, New York University Shanghai, Shanghai 200122, China
  • Received:2021-04-29 Online:2022-07-25 Published:2022-07-19
  • Contact: Tim BYRNES E-mail:tim.byrnes@nyu.edu

Abstract:

In this paper, a method for testing the Bell correlation between two spatially separated two-mode squeezed Bose-Einstein condensates (BECs) is proposed. Using the referenced method, violation of the Clauser-Horne-Shimony-Holt (CHSH) Bell inequality can be observed. First, the method for producing the required physical states is introduced, and then the Bell correlation is tested by calculating the relevant factors using the normalized expected value of the particle number operator. It is shown that violation of the Bell inequality can be observed when $r \lesssim 0.49$ . One of biggest violations occurs, furthermore, when $r \to 0$ and $B = 2\sqrt 2 $ . The method is highly robust in the presence of noise.

Key words: spatially separated Bose-Einstein condensates, two-mode squeezed, Bell inequality

CLC Number: