Realization of non-linear coherent states by photonic lattices | Zendy

Shahram Dehdashti | Zendy; Rujiang Li | Zendy; Jiarui Liu | Zendy; Faxin Yu | Zendy; Hongsheng Chen | Zendy

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Realization of non-linear coherent states by photonic lattices

Author(s) -

Shahram Dehdashti,

Rujiang Li,

Jiarui Liu,

Faxin Yu,

Hongsheng Chen

Publication year - 2015

Publication title -

aip advances

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.421

H-Index - 58

ISSN - 2158-3226

DOI - 10.1063/1.4923325

Subject(s) - coherent states , hilbert space , realization (probability) , physics , quantum mechanics , coherent states in mathematical physics , coupling (piping) , representation (politics) , waveguide , state (computer science) , statistical physics , mathematics , squeezed coherent state , quantum , algorithm , mechanical engineering , statistics , politics , political science , law , engineering

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

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