华东师范大学学报（自然科学版） >

2022 , Vol. 2022 >Issue 4: 131 - 138

DOI: https://doi.org/10.3969/j.issn.1000-5641.2022.04.013

物理学与电子学

分离双模压缩玻色-爱因斯坦凝聚态并检验其贝尔关联

  • 孟鑫 ,
  • IVANNIKOVValentin ,
  • BYRNESTim
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  • 1. 华东师范大学 精密光谱科学与技术国家重点实验室, 上海　200241
    2. 上海纽约大学 物理系, 上海　200122

收稿日期: 2021-04-29

  网络出版日期: 2022-07-19

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

  • Xin MENG ,
  • Valentin IVANNIKOV ,
  • Tim BYRNES
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  • 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 date: 2021-04-29

  Online published: 2022-07-19

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摘要

提出了一种检验两个空间分离玻色-爱因斯坦凝聚态(Bose-Einstein Condensate, BEC)贝尔关联的方法, 通过此方法可以观察到Clauser-Horne-Shimony-Holt (CHSH)贝尔不等式的违反. 介绍了制备空间分离BEC方法. 通过用粒子数算符的归一化期望值来计算相关因子, 进而检验贝尔关联. 发现, 当 $r \lesssim 0.49$ 时, 可以观察到贝尔不等式的违反, 其中最大的违反在 $r \to 0$ 的情况下, $B = 2\sqrt 2 $ . 计算发现, 在噪声存在的情况下, 此方法具有高度鲁棒性.

关键词： 空间分离玻色-爱因斯坦凝聚态; 双模压缩; 贝尔不等式

本文引用格式

孟鑫 , IVANNIKOVValentin , BYRNESTim . 分离双模压缩玻色-爱因斯坦凝聚态并检验其贝尔关联[J]. 华东师范大学学报（自然科学版）, 2022 , 2022(4) : 131 -138 . DOI: 10.3969/j.issn.1000-5641.2022.04.013

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

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