中国物理B ›› 2018, Vol. 27 ›› Issue (10): 100305-100305.doi: 10.1088/1674-1056/27/10/100305

• SPECIAL TOPIC—Recent advances in thermoelectric materials and devices • 上一篇    下一篇

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)   

  1. School of Mechanical, Optoelectronics and Physics, Huaihua University, Huaihua 418008, China
  • 收稿日期:2018-05-23 修回日期:2018-07-23 出版日期:2018-10-05 发布日期:2018-10-05
  • 通讯作者: Shaohua Xiang E-mail:shxiang97@163.com
  • 基金资助:

    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).

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)   

  1. School of Mechanical, Optoelectronics and Physics, Huaihua University, Huaihua 418008, China
  • Received:2018-05-23 Revised:2018-07-23 Online:2018-10-05 Published:2018-10-05
  • Contact: Shaohua Xiang E-mail:shxiang97@163.com
  • Supported by:

    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).

摘要:

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.

关键词: non-Gaussianity, cumulants, squeezed number states, decoherence

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.

Key words: non-Gaussianity, cumulants, squeezed number states, decoherence

中图分类号:  (Decoherence; open systems; quantum statistical methods)

  • 03.65.Yz
03.67.Mn (Entanglement measures, witnesses, and other characterizations) 42.50.Dv (Quantum state engineering and measurements) 42.50.Lc (Quantum fluctuations, quantum noise, and quantum jumps)