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Chin. Phys. B, 2016, Vol. 25(12): 120301    DOI: 10.1088/1674-1056/25/12/120301
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New approach for anti-normally and normally ordering bosonic-operator functions in quantum optics

Shi-Min Xu(徐世民)1, Yun-Hai Zhang(张运海)1, Xing-Lei Xu(徐兴磊)1, Hong-Qi Li(李洪奇)1, Ji-Suo Wang(王继锁)2
1. Department of Physics and Electronic Engineering, Heze University, Heze 274015, China;
2. College of Physics and Engineering, Qufu Normal University, Qufu 273165, China
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      Published:  05 December 2016
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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