Nonlocality of High-Order Superposition Photon Addition Two-Mode Thermal State |
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| Authors: | Xue-xiang Xu Fang-sen Xie |
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| Institution: | 1. College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang, 330022, China
2. Key Laboratory of Optoelectronic and Telecommunication of Jiangxi Province, Nanchang, 330022, China
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| Abstract: | A new kind of quantum state is introduced, which can be generated by the superposition of high-order (N) photon addition to two-mode thermal state (SPA-TMTS). By using the P-representation of thermal state, the normal ordering form of SPA-TMTS is obtained. Based on this, some analytical expressions, such as the normalization coefficient, Q-function, Wigner function (WF) are presented. It is shown that the WF can possess negative value at some region. In addition, the nonlocality of the SPA-TMTS is discussed in terms of the CH and CHSH inequalities. It is found that for a given small $\bar{n}$ , the CH inequality is violated for some small N and the violation decrease with the increasing N; while the CHSH inequality is violated only for N=1. |
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