New formulas for normalizing photon-added (-subtracted) two-mode squeezed thermal states

doi:10.1088/1674-1056/22/3/034202

中国物理B ›› 2013, Vol. 22 ›› Issue (3): 34202-034202.doi: 10.1088/1674-1056/22/3/034202

• ELECTROMAGNETISM, OPTICS, ACOUSTICS, HEAT TRANSFER, CLASSICAL MECHANICS, AND FLUID DYNAMICS • 上一篇下一篇

New formulas for normalizing photon-added (-subtracted) two-mode squeezed thermal states

胡利云^{a b}, 范洪义^c, 张智明^b

a College of Physics & Communication Electronics, Jiangxi Normal University, Nanchang 330022, China;
b Laboratory of Nanophotonic Functional Materials and Devices, SIPSE & LQIT, South China Normal University, Guangzhou 510006, China;
c Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China

收稿日期:2012-07-30 修回日期:2012-09-12 出版日期:2013-02-01 发布日期:2013-02-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11264018 and 60978009), the Major Research Plan of the National Natural Science Foundation of China (Grant No. 91121023), the National Basic Research Project of China (Grant No. 2011CBA00200), and the Young Talents Foundation of Jiangxi Normal University, China.

New formulas for normalizing photon-added (-subtracted) two-mode squeezed thermal states

Hu Li-Yun (胡利云)^{a b}, Fan Hong-Yi (范洪义)^c, Zhang Zhi-Ming (张智明)^b

a College of Physics & Communication Electronics, Jiangxi Normal University, Nanchang 330022, China;
b Laboratory of Nanophotonic Functional Materials and Devices, SIPSE & LQIT, South China Normal University, Guangzhou 510006, China;
c Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China

Received:2012-07-30 Revised:2012-09-12 Online:2013-02-01 Published:2013-02-01
Contact: Hu Li-Yun E-mail:hlyun@jxnu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 11264018 and 60978009), the Major Research Plan of the National Natural Science Foundation of China (Grant No. 91121023), the National Basic Research Project of China (Grant No. 2011CBA00200), and the Young Talents Foundation of Jiangxi Normal University, China.

摘要/Abstract

摘要： For the first time, we derive the compact forms of normalization factors for photon-added (-subtracted) two-mode squeezed thermal states by using the P-representation and the integration within an ordered product of operators (IWOP) technique. It is found that these two factors are related to the Jacobi polynomials. In addition, some new relations are presented for the Jacobi polynomials.

关键词: two-mode squeezed thermal states, normalization, photon addition and subtraction, integration within an ordered product of operators technique

Abstract: For the first time, we derive the compact forms of normalization factors for photon-added (-subtracted) two-mode squeezed thermal states by using the P-representation and the integration within an ordered product of operators (IWOP) technique. It is found that these two factors are related to the Jacobi polynomials. In addition, some new relations are presented for the Jacobi polynomials.

Key words: two-mode squeezed thermal states, normalization, photon addition and subtraction, integration within an ordered product of operators technique

中图分类号: (Quantum state engineering and measurements)

42.50.Dv

03.65.Wj (State reconstruction, quantum tomography) 03.67.Mn (Entanglement measures, witnesses, and other characterizations)

胡利云, 范洪义, 张智明. New formulas for normalizing photon-added (-subtracted) two-mode squeezed thermal states[J]. 中国物理B, 2013, 22(3): 34202-034202.

Hu Li-Yun (胡利云), Fan Hong-Yi (范洪义), Zhang Zhi-Ming (张智明). New formulas for normalizing photon-added (-subtracted) two-mode squeezed thermal states[J]. Chin. Phys. B, 2013, 22(3): 34202-034202.

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New formulas for normalizing photon-added (-subtracted) two-mode squeezed thermal states

New formulas for normalizing photon-added (-subtracted) two-mode squeezed thermal states

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