Photon number cumulant expansion and generating function for photon added- and subtracted-two-mode squeezed states

doi:10.1088/1674-1056/23/2/020302

中国物理B ›› 2014, Vol. 23 ›› Issue (2): 20302-020302.doi: 10.1088/1674-1056/23/2/020302

Photon number cumulant expansion and generating function for photon added- and subtracted-two-mode squeezed states

卢道明^a, 范洪义^b

a College of Mechanic and Electronic Engineering, Wuyi University, Wuyishan 354300, China;
b Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China

收稿日期:2013-05-15 修回日期:2013-07-19 出版日期:2013-12-12 发布日期:2013-12-12
基金资助:
Project supported by the Natural Science Foundation of Fujian Province, China (Grant No. 2011J01018) and the National Natural Science Foundation of China (Grant No. 11175113).

Photon number cumulant expansion and generating function for photon added- and subtracted-two-mode squeezed states

Lu Dao-Ming (卢道明)^a, Fan Hong-Yi (范洪义)^b

a College of Mechanic and Electronic Engineering, Wuyi University, Wuyishan 354300, China;
b Department of Material Science and Engineering, University of Science and Technology of China, Hefei 230026, China

Received:2013-05-15 Revised:2013-07-19 Online:2013-12-12 Published:2013-12-12
Contact: Lu Dao-Ming E-mail:daominglu79@hotmail.com
About author:03.65.Ca; 02.30.Gp; 42.50.-p
Supported by:
Project supported by the Natural Science Foundation of Fujian Province, China (Grant No. 2011J01018) and the National Natural Science Foundation of China (Grant No. 11175113).

摘要/Abstract

摘要： For the first time, we derive the photon number cumulant for two-mode squeezed state and show that its cumulant expansion leads to normalization of two-mode photon subtracted-squeezed states and photon added- squeezed states. We show that the normalization is related to Jacobi polynomial, so the cumulant expansion in turn represents the new generating function of Jacobi polynomial.

关键词: Jacobi polynomial, photon number cumulant expansion, photon subtracted- and photon added-two-mode squeezed states

Abstract: For the first time, we derive the photon number cumulant for two-mode squeezed state and show that its cumulant expansion leads to normalization of two-mode photon subtracted-squeezed states and photon added- squeezed states. We show that the normalization is related to Jacobi polynomial, so the cumulant expansion in turn represents the new generating function of Jacobi polynomial.

Key words: Jacobi polynomial, photon number cumulant expansion, photon subtracted- and photon added-two-mode squeezed states

中图分类号: (Formalism)

03.65.Ca

02.30.Gp (Special functions) 42.50.-p (Quantum optics)

卢道明, 范洪义. Photon number cumulant expansion and generating function for photon added- and subtracted-two-mode squeezed states[J]. 中国物理B, 2014, 23(2): 20302-020302.

Lu Dao-Ming (卢道明), Fan Hong-Yi (范洪义). Photon number cumulant expansion and generating function for photon added- and subtracted-two-mode squeezed states[J]. Chin. Phys. B, 2014, 23(2): 20302-020302.

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Photon number cumulant expansion and generating function for photon added- and subtracted-two-mode squeezed states

Photon number cumulant expansion and generating function for photon added- and subtracted-two-mode squeezed states

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