Operators' s-parameterized ordering and its classical correspondence in quantum optics theory

doi:10.1088/1674-1056/19/10/104204

中国物理B ›› 2010, Vol. 19 ›› Issue (10): 104204-104204.doi: 10.1088/1674-1056/19/10/104204

Operators' s-parameterized ordering and its classical correspondence in quantum optics theory

胡利云¹, 范洪义², 袁洪春²

(1)College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China; (2)Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China

收稿日期:2010-03-13 修回日期:2010-03-31 出版日期:2010-10-15 发布日期:2010-10-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10775097 and 10874174).

Operators' s-parameterized ordering and its classical correspondence in quantum optics theory

Fan Hong-Yi(范洪义)^a), Yuan Hong-Chun(袁洪春)^a)^†, and Hu Li-Yun(胡利云)^b)

^a Department of Physics, Shanghai Jiao Tong University, Shanghai 200030, China; ^b College of Physics and Communication Electronics, Jiangxi Normal University, Nanchang 330022, China

Received:2010-03-13 Revised:2010-03-31 Online:2010-10-15 Published:2010-10-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10775097 and 10874174).

摘要/Abstract

摘要： In reference to the Weyl ordering , where X and P are coordinate and momentum operator, respectively, this paper examines operators' s-parameterized ordering and its classical correspondence, finds the fundamental function-operator correspondence and its complementary relation , where H_m,n is the two-variable Hermite polynomial, are bosonic annihilation and creation operators respectively, s is a complex parameter. The s'-ordered operator power-series expansion of s-ordered operator in terms of the two-variable Hermite polynomial is also derived. Application of operators' s-ordering formula in studying displaced-squeezed chaotic field is discussed.

Abstract: In reference to the Weyl ordering , where X and P are coordinate and momentum operator, respectively, this paper examines operators' s-parameterized ordering and its classical correspondence, finds the fundamental function-operator correspondence and its complementary relation , where H_m,n is the two-variable Hermite polynomial, are bosonic annihilation and creation operators respectively, s is a complex parameter. The s'-ordered operator power-series expansion of s-ordered operator in terms of the two-variable Hermite polynomial is also derived. Application of operators' s-ordering formula in studying displaced-squeezed chaotic field is discussed.

Key words: s-ordered operator expansion formula, the IWSOP technique, two-variable Hermite polynomial

中图分类号: (Algebraic structures and number theory)

02.10.De

范洪义, 袁洪春, 胡利云. Operators' s-parameterized ordering and its classical correspondence in quantum optics theory[J]. 中国物理B, 2010, 19(10): 104204-104204.

Fan Hong-Yi(范洪义), Yuan Hong-Chun(袁洪春), and Hu Li-Yun(胡利云). Operators' s-parameterized ordering and its classical correspondence in quantum optics theory[J]. Chin. Phys. B, 2010, 19(10): 104204-104204.

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Operators' s-parameterized ordering and its classical correspondence in quantum optics theory

Operators' s-parameterized ordering and its classical correspondence in quantum optics theory

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