boson realization
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2015 ◽  
Vol 2015 (6) ◽  
pp. 63D01-0 ◽  
Author(s):  
Y. Tsue ◽  
C. Providencia ◽  
J. da Providencia ◽  
M. Yamamura

2013 ◽  
Vol 10 (07) ◽  
pp. 1350028 ◽  
Author(s):  
A. MAHDIFAR

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.


2013 ◽  
Vol 10 (05) ◽  
pp. 1350014 ◽  
Author(s):  
SH. DEHDASHTI ◽  
A. MAHDIFAR ◽  
R. ROKNIZADEH

At first, we introduce α-deformed algebra as a kind of generalization of the Weyl–Heisenberg algebra so that we get the su(2)- and su(1, 1)-algebras whenever α has specific values. After that, we construct coherent states of this algebra. Third, a realization of this algebra is given in the system of a harmonic oscillator confined at the center of a potential well. Then, we introduce two-boson realization of the α-deformed Weyl–Heisenberg algebra and use this representation to write α-deformed coherent states in terms of the two modes number states. Following these points, we consider mean number of excitations (we call them in general photons) and Mandel parameter as statistical properties of the α-deformed coherent states. Finally, the Fubini–Study metric is calculated for the α-coherent states manifold.


2012 ◽  
Vol 127 (1) ◽  
pp. 117-143 ◽  
Author(s):  
Yasuhiko Tsue ◽  
Constança Providência ◽  
João da Providência ◽  
Masatoshi Yamamura
Keyword(s):  

2006 ◽  
Vol 115 (3) ◽  
pp. 547-559
Author(s):  
C. Providencia ◽  
J. da Providencia ◽  
Y. Tsue ◽  
M. Yamamura
Keyword(s):  

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