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Non-Gaussianity dynamics of two-mode squeezed number states subject to different types of noise based on cumulant theory |
| Shaohua Xiang(向少华), Xixiang Zhu(朱喜香), Kehui Song(宋克慧) |
| School of Mechanical, Optoelectronics and Physics, Huaihua University, Huaihua 418008, China |
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Abstract We provide a measure to characterize the non-Gaussianity of phase-space function of bosonic quantum states based on the cumulant theory. We study the non-Gaussianity dynamics of two-mode squeezed number states by analyzing the phase-averaged kurtosis for two different models of decoherence:amplitude damping model and phase damping model. For the amplitude damping model, the non-Gaussianity is very fragile and completely vanishes at a finite time. For the phase damping model, such states exhibit rich non-Gaussian characters. In particular, we obtain a transition time that such states can transform from sub-Gaussianity into super-Gaussianity during the evolution. Finally, we compare our measure with the existing measures of non-Gaussianity under the independent dephasing environment.
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Received: 23 May 2018
Revised: 23 July 2018
Accepted manuscript online:
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PACS:
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03.65.Yz
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(Decoherence; open systems; quantum statistical methods)
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03.67.Mn
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(Entanglement measures, witnesses, and other characterizations)
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42.50.Dv
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(Quantum state engineering and measurements)
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42.50.Lc
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(Quantum fluctuations, quantum noise, and quantum jumps)
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| Fund: Project supported by the Natural Science Foundation of Hunan Province, China (Grant No. 2017JJ2214) and the Key Project Foundation of the Education Department of Hunan Province, China (Grant No. 14A114). |
Corresponding Authors:
Shaohua Xiang
E-mail: shxiang97@163.com
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Cite this article:
Shaohua Xiang(向少华), Xixiang Zhu(朱喜香), Kehui Song(宋克慧) Non-Gaussianity dynamics of two-mode squeezed number states subject to different types of noise based on cumulant theory 2018 Chin. Phys. B 27 100305
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