scholarly journals Quantum statistical properties of multiphoton hypergeometric coherent states and the discrete circle representation

2019 ◽  
Vol 60 (10) ◽  
pp. 103506 ◽  
Author(s):  
S. Arjika ◽  
M. Calixto ◽  
J. Guerrero
Keyword(s):  
Coherent States ◽  
Statistical Properties ◽  
Quantum Statistical

On the Squeezing and Displacement of nth-Order

1997 ◽  
Vol 11 (09n10) ◽  
pp. 399-406
Author(s):  
Norton G. de Almeida ◽  
Célia M. A. Dantas
Keyword(s):  
Coherent State ◽  
Coherent States ◽  
Photon Number ◽  
Natural Generalization ◽  
Statistical Properties ◽  
Number Distribution ◽  
Quantum Statistical ◽  
Photon Number Distribution

The norder expressions for the squeezed and coherent states are derived as a natural generalization of the usual squeezed coherent and coherent states. The photon number distribution of n order of squeezed coherent states that are eigenstates of the operators [Formula: see text] is derived. The n order coherent state is a particular case of the states that we are now deriving. Some mathematical and quantum statistical properties of these states are discussed.

The quantum statistical properties of superposition coherent states with thermal noise

1996 ◽  
Vol 43 (2) ◽  
pp. 323-336 ◽  
Author(s):  
Kaicheng Zhu ◽  
Huiqin Tang ◽  
Cuiliang Li ◽  
Duzhi Huang ◽  
Xinguang Li ◽  
...  
Keyword(s):  
Coherent States ◽  
Thermal Noise ◽  
Statistical Properties ◽  
Quantum Statistical

COHERENT STATES FOR NONLINEAR TWO-BOSON REALIZATION OF THE ISOTROPIC OSCILLATOR ALGEBRA ON A SPHERE

2013 ◽  
Vol 10 (07) ◽  
pp. 1350028 ◽  
Author(s):  
A. MAHDIFAR
Keyword(s):  
Quantum Entanglement ◽  
Coherent States ◽  
Physical Space ◽  
Statistical Properties ◽  
Oscillator Algebra ◽  
Deformation Function ◽  
Boson Realization ◽  
Nonclassical Properties ◽  
Quantum Statistical

In this paper, we generalize Schwinger realization of the 𝔰𝔲(2) algebra to construct a two-mode realization for deformed 𝔰𝔲(2) algebra on a sphere. We obtain a nonlinear (f-deformed) Schwinger realization with a deformation function corresponding to the curvature of sphere that in the flat limit tends to unity. With the use of this nonlinear two-mode algebra, we construct the associated two-mode coherent states (CSs) on the sphere and investigate their quantum entanglement. We also compare the quantum statistical properties of the two modes of the constructed CSs, including anticorrelation and antibunching effects. Particularly, the influence of the curvature of the physical space on the nonclassical properties of two modes is clarified.

Quantum Statistical Properties of κ-Quantum Nonlinear Coherent States

2004 ◽  
Vol 42 (3) ◽  
pp. 419-424 ◽  
Author(s):  
Wang Ji-Suo ◽  
Liu Tang-Kun ◽  
Feng Jian ◽  
Sun Jin-Zuo
Keyword(s):  
Coherent States ◽  
Statistical Properties ◽  
Quantum Statistical

scholarly journals The quantum statistical properties of a class of superposed q-deformed generalized coherent states

2007 ◽  
Vol 56 (2) ◽  
pp. 845
Author(s):  
Ren Min ◽  
Ma Ai-Qun ◽  
Muhammad Ashfaq Ahmad ◽  
Zeng Ran ◽  
Liu Shu-Tian ◽  
...  
Keyword(s):  
Coherent States ◽  
Statistical Properties ◽  
Generalized Coherent States ◽  
Quantum Statistical

SECOND-ORDER CORRELATION FUNCTION FOR SUCCESSIVE SQUEEZED STATES

1999 ◽  
Vol 13 (29n30) ◽  
pp. 1063-1073 ◽  
Author(s):  
V. A. POPESCU
Keyword(s):  
Correlation Function ◽  
Coherent States ◽  
Second Order ◽  
Statistical Properties ◽  
Squeezed States ◽  
Quantum Statistical ◽  
Thermal States

By successive application of the squeeze operator, we obtain different quantum statistical properties for the squeezed number, the squeezed thermal, the squeezed coherent and the displaced squeezed thermal states. We compare our enhanced squeezing method with other procedures for superposition of two squeezed coherent states.

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