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Title: Realization of non-linear coherent states by photonic lattices

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