New approach for anti-normally and normally ordering bosonic-operator functions in quantum optics

doi:10.1088/1674-1056/25/12/120301

Abstract

In this paper, we provide a new kind of operator formula for anti-normally and normally ordering bosonic-operator functions in quantum optics, which can help us arrange a bosonic-operator function f(λ+ν) in its anti-normal and normal ordering conveniently. Furthermore, mutual transformation formulas between anti-normal ordering and normal ordering, which have good universality, are derived too. Based on these operator formulas, some new differential relations and some useful mathematical integral formulas are easily derived without really performing these integrations.

Keywords: Baker-Hausdorff formula operator differentiation mutual transformation

Received: 15 June 2016
Revised: 25 July 2016
Accepted manuscript online:

PACS:	03.65.-w	(Quantum mechanics)
	03.67.-a	(Quantum information)
	42.50.Dv	(Quantum state engineering and measurements)

Fund:

Project supported by the Natural Science Foundation of Shandong Province, China (Grant No. ZR2015AM025) and the Natural Science Foundation of Heze University, China (Grant No. XY14PY02).

Corresponding Authors: Hong-Qi Li
E-mail: hzuwlx@126.com

Cite this article:

Shi-Min Xu(徐世民), Yun-Hai Zhang(张运海), Xing-Lei Xu(徐兴磊), Hong-Qi Li(李洪奇), Ji-Suo Wang(王继锁) New approach for anti-normally and normally ordering bosonic-operator functions in quantum optics 2016 Chin. Phys. B 25 120301

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[1]	Mutual transformations between the P–Q,Q–P, and generalized Weyl ordering of operators Xu Xing-Lei (徐兴磊), Li Hong-Qi (李洪奇), Fan Hong-Yi (范洪义). Chin. Phys. B, 2014, 23(3): 030305.

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New approach for anti-normally and normally ordering bosonic-operator functions in quantum optics

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