# Realization of non-linear coherent states by photonic lattices

## Abstract

In this paper, first, by introducing Holstein-Primakoff representation of α-deformed algebra, we achieve the associated non-linear coherent states, including su(2) and su(1, 1) coherent states. Second, by using waveguide lattices with specific coupling coefficients between neighbouring channels, we generate these non-linear coherent states. In the case of positive values of α, we indicate that the Hilbert size space is finite; therefore, we construct this coherent state with finite channels of waveguide lattices. Finally, we study the field distribution behaviours of these coherent states, by using Mandel Q parameter.

- Authors:

- State Key Laboratory of Modern Optical Instrumentations, Zhejiang University, Hangzhou 310027 (China)
- (China)
- School of Aeronautics and Astronautics, Zhejiang University, Hangzhou 310027 (China)

- Publication Date:

- OSTI Identifier:
- 22493922

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: AIP Advances; Journal Volume: 5; Journal Issue: 6; Other Information: (c) 2015 Author(s); Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGEBRA; ANNIHILATION OPERATORS; COUPLING; DISTRIBUTION; EIGENSTATES; HILBERT SPACE; NONLINEAR PROBLEMS; SU-2 GROUPS; WAVEGUIDES

### Citation Formats

```
Dehdashti, Shahram, E-mail: shdehdashti@zju.edu.cn, Li, Rujiang, Chen, Hongsheng, E-mail: hansomchen@zju.edu.cn, The Electromagnetics Academy at Zhejiang University, Zhejiang University, Hangzhou 310027, Liu, Jiarui, E-mail: jrliu@zju.edu.cn, and Yu, Faxin.
```*Realization of non-linear coherent states by photonic lattices*. United States: N. p., 2015.
Web. doi:10.1063/1.4923325.

```
Dehdashti, Shahram, E-mail: shdehdashti@zju.edu.cn, Li, Rujiang, Chen, Hongsheng, E-mail: hansomchen@zju.edu.cn, The Electromagnetics Academy at Zhejiang University, Zhejiang University, Hangzhou 310027, Liu, Jiarui, E-mail: jrliu@zju.edu.cn, & Yu, Faxin.
```*Realization of non-linear coherent states by photonic lattices*. United States. doi:10.1063/1.4923325.

```
Dehdashti, Shahram, E-mail: shdehdashti@zju.edu.cn, Li, Rujiang, Chen, Hongsheng, E-mail: hansomchen@zju.edu.cn, The Electromagnetics Academy at Zhejiang University, Zhejiang University, Hangzhou 310027, Liu, Jiarui, E-mail: jrliu@zju.edu.cn, and Yu, Faxin. Mon .
"Realization of non-linear coherent states by photonic lattices". United States.
doi:10.1063/1.4923325.
```

```
@article{osti_22493922,
```

title = {Realization of non-linear coherent states by photonic lattices},

author = {Dehdashti, Shahram, E-mail: shdehdashti@zju.edu.cn and Li, Rujiang and Chen, Hongsheng, E-mail: hansomchen@zju.edu.cn and The Electromagnetics Academy at Zhejiang University, Zhejiang University, Hangzhou 310027 and Liu, Jiarui, E-mail: jrliu@zju.edu.cn and Yu, Faxin},

abstractNote = {In this paper, first, by introducing Holstein-Primakoff representation of α-deformed algebra, we achieve the associated non-linear coherent states, including su(2) and su(1, 1) coherent states. Second, by using waveguide lattices with specific coupling coefficients between neighbouring channels, we generate these non-linear coherent states. In the case of positive values of α, we indicate that the Hilbert size space is finite; therefore, we construct this coherent state with finite channels of waveguide lattices. Finally, we study the field distribution behaviours of these coherent states, by using Mandel Q parameter.},

doi = {10.1063/1.4923325},

journal = {AIP Advances},

number = 6,

volume = 5,

place = {United States},

year = {Mon Jun 15 00:00:00 EDT 2015},

month = {Mon Jun 15 00:00:00 EDT 2015}

}

DOI: 10.1063/1.4923325

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