Dynamical evolution of photon-added thermal state in thermal reservoir

doi:10.1088/1674-1056/ab457d

中国物理B ›› 2019, Vol. 28 ›› Issue (11): 110301-110301.doi: 10.1088/1674-1056/ab457d

Dynamical evolution of photon-added thermal state in thermal reservoir

Xue-Xiang Xu(徐学翔), Hong-Chun Yuan(袁洪春)

1 College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China;
2 School of Electrical and Information Engineering, Changzhou Institute of Technology, Changzhou 213032, China

收稿日期:2019-08-03 修回日期:2019-09-04 出版日期:2019-11-05 发布日期:2019-11-05
通讯作者: Xue-Xiang Xu, Hong-Chun Yuan E-mail:xuxuexiang@jxnu.edu.cn;yuanhc@czust.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 11665013).

Dynamical evolution of photon-added thermal state in thermal reservoir

Xue-Xiang Xu(徐学翔)¹, Hong-Chun Yuan(袁洪春)²

1 College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China;
2 School of Electrical and Information Engineering, Changzhou Institute of Technology, Changzhou 213032, China

Received:2019-08-03 Revised:2019-09-04 Online:2019-11-05 Published:2019-11-05
Contact: Xue-Xiang Xu, Hong-Chun Yuan E-mail:xuxuexiang@jxnu.edu.cn;yuanhc@czust.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 11665013).

摘要/Abstract

摘要： The dynamical behavior of a photon-added thermal state (PATS) in a thermal reservoir is investigated by virtue of Wigner function (WF) and Wigner logarithmic negativity (WLN), where this propagation model is abstracted as an input-output problem in a thermal-loss channel. The density operator of the output optical field at arbitrary time can be expressed in the integration form of the characteristics function of the input optical field. The exact analytical expression of WF is given, which is closely related to the Laguerre polynomial and is dependent on the evolution time and other interaction parameters (related with the initial field and the reservoir). Based on the WLN, we observe the dynamical evolution of the PATS in the thermal reservoir. It is shown that the thermal noise will make the PATS lose the non-Gaussianity.

关键词: quantum statistics, master equation, photon-added thermal state, thermal reservoir, Wigner logarithmic negativity

Abstract: The dynamical behavior of a photon-added thermal state (PATS) in a thermal reservoir is investigated by virtue of Wigner function (WF) and Wigner logarithmic negativity (WLN), where this propagation model is abstracted as an input-output problem in a thermal-loss channel. The density operator of the output optical field at arbitrary time can be expressed in the integration form of the characteristics function of the input optical field. The exact analytical expression of WF is given, which is closely related to the Laguerre polynomial and is dependent on the evolution time and other interaction parameters (related with the initial field and the reservoir). Based on the WLN, we observe the dynamical evolution of the PATS in the thermal reservoir. It is shown that the thermal noise will make the PATS lose the non-Gaussianity.

Key words: quantum statistics, master equation, photon-added thermal state, thermal reservoir, Wigner logarithmic negativity

中图分类号: (Quantum mechanics)

03.65.-w

05.30.-d (Quantum statistical mechanics)

徐学翔, 袁洪春. Dynamical evolution of photon-added thermal state in thermal reservoir[J]. 中国物理B, 2019, 28(11): 110301-110301.

Xue-Xiang Xu(徐学翔), Hong-Chun Yuan(袁洪春). Dynamical evolution of photon-added thermal state in thermal reservoir[J]. Chin. Phys. B, 2019, 28(11): 110301-110301.

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Dynamical evolution of photon-added thermal state in thermal reservoir

Dynamical evolution of photon-added thermal state in thermal reservoir

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