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Title: 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:
; ;  [1];  [2]; ;  [3]
  1. State Key Laboratory of Modern Optical Instrumentations, Zhejiang University, Hangzhou 310027 (China)
  2. (China)
  3. 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}
}