Non-Gaussianity of photon-added-then-subtracted squeezed vacuum state |
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Authors: | Xue-Xiang Xu Hong-Chun Yuan Li-Yun Hu Hong-Yi Fan |
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Institution: | 1. College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang, 330022, China;2. College of Optoelectronic Engineering, Changzhou Institute of Technology, Changzhou, 213002, China;3. Department of Physics, Shanghai Jiao Tong University, Shanghai, 200030, China |
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Abstract: | In this paper, the photon-added-then-subtracted squeezed vacuum state (PASSVS), a non-Gaussian state, is presented by adding then subtracting photon to a squeezed vacuum state. It is found that PASSVS is just a superposition state between S(r) | 0〉 and S(r) | 2〉, where S(r) is the single-mode squeezing operator with the squeezing parameter r. Its non-Gaussianity is exhibited via its Wigner function and the Hilbert–Schmidt distance. In addition, a possible scheme is presented to produce the PASSVS by virtue of the cavity QED. |
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