ABCD rule for Gaussian beam propagation in the context of quantum optics derived by the IWOP technique

2006 ◽  
Vol 321 (9) ◽  
pp. 2116-2127 ◽  
Author(s):  
Hong-yi Fan ◽  
Hai-liang Lu ◽  
Wei-bo Gao ◽  
Xue-fen Xu
Keyword(s):  
Quantum Optics ◽  
Gaussian Beam ◽  
Beam Propagation ◽  
Iwop Technique ◽  
The Iwop Technique ◽  
Abcd Rule

ENTANGLED STATES, SQUEEZED STATES GAINED VIA THE ROUTE OF DEVELOPING DIRAC'S SYMBOLIC METHOD AND THEIR APPLICATIONS

2004 ◽  
Vol 18 (10n11) ◽  
pp. 1387-1455 ◽  
Author(s):  
HONG-YI FAN
Keyword(s):  
Quantum Optics ◽  
Fourier Optics ◽  
Entangled States ◽  
Entangled State ◽  
Squeezed States ◽  
Iwop Technique ◽  
The Iwop Technique ◽  
Operator Ordering ◽  
Symbolic Method ◽  
Interdisciplinary Study

Via the route of developing Dirac's symbolic method by virtue of the technique of integration within an ordered product (IWOP) of operators we derive various entangled state representations, squeezed states, and operator ordering formulae. We show how the entangled states can be applied to many aspects of quantum optics theory. The applications of the entangled states in the interdisciplinary study of quantum optics and Fourier optics are also introduced. All these discussions exhibit the power of Dirac's symbolic method with the aid of the IWOP technique.

New approach to generating functions of single- and two-variable even- and odd-Hermite polynomials and applications in quantum optics

2014 ◽  
Vol 28 (32) ◽  
pp. 1450249 ◽  
Author(s):  
Fang Jia ◽  
Shuang Xu ◽  
Li-Yun Hu ◽  
Zhenglu Duan ◽  
Jie-Hui Huang
Keyword(s):  
Quantum Optics ◽  
Generating Functions ◽  
Coherent States ◽  
Hermite Polynomials ◽  
Quantum States ◽  
Iwop Technique ◽  
New Approach ◽  
The Iwop Technique ◽  
New Formula ◽  
Entangled Coherent States

Using the IWOP technique and completeness of representation, we obtain the integral expressions of single- and two-variable Hermite polynomials. Based on this, we further derive the generating functions of single- and two-variable even- and odd-Hermit polynomials. This method seems more concise and direct. In addition, some applications such as deriving new formula and constructing new two-mode quantum states are discussed. It is found that two-variable Hermite polynomials excitation can used to produce entangled coherent states.

Beam propagation of a higher-order cosh-Gaussian beam

2009 ◽  
Vol 41 (2) ◽  
pp. 202-208 ◽  
Author(s):  
Guoquan Zhou ◽  
Jun Zheng
Keyword(s):  
Gaussian Beam ◽  
Beam Propagation ◽  
Higher Order

From coherent state representation to unitary operators via the IWOP technique

Optik ◽  
2019 ◽  
Vol 178 ◽  
pp. 372-378 ◽  
Author(s):  
Ying Xia ◽  
Liyun Hu ◽  
Huan Zhang ◽  
Haoliang Zhang
Keyword(s):  
Coherent State ◽  
Iwop Technique ◽  
Unitary Operators ◽  
State Representation ◽  
The Iwop Technique

scholarly journals Variational investigation of Hermite-Gaussian beam propagation in nonlocal Kerr media

2008 ◽  
Vol 57 (9) ◽  
pp. 5684
Author(s):  
Bai Dong-Feng ◽  
Guo Qi ◽  
Hu Wei
Keyword(s):  
Gaussian Beam ◽  
Beam Propagation ◽  
Kerr Media

Accurately modeling Gaussian beam propagation in the context of Monte Carlo techniques

2016 ◽  
Author(s):  
Brett H. Hokr ◽  
Aidan Winblad ◽  
Joel N. Bixler ◽  
Gabriel Elpers ◽  
Byron Zollars ◽  
...  
Keyword(s):  
Monte Carlo ◽  
Gaussian Beam ◽  
Beam Propagation ◽  
Monte Carlo Techniques
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