The Jaynes–Cummings model of a two-level atom in a single-mode para-Bose cavity field

H Fakhri, M Sayyah-Fard - Scientific Reports, 2021 - nature.com
The coherent states in the parity deformed analog of standard boson Glauber coherent
states are generated, which admit a resolution of unity with a positive measure. The …

q-coherent states associated with the noncommutative complex plane Cq2 for the Biedenharn–Macfarlane q-oscillator

H Fakhri, M Sayyah-Fard - Annals of Physics, 2017 - Elsevier
The q-coherent states associated with the noncommutative complex plane C q 2 for the
Biedenharn–Macfarlane q-oscillator are constructed by using a q-generalization of the …

q-Cat states revisited: two families in a Fock representation space of q-oscillator algebra with different nonclassical behaviors

H Fakhri, SE Mousavi-Gharalari - The European Physical Journal Plus, 2021 - Springer
This paper has been motivated by our previous paper (Eur. Phys J Plus 135: 253, 2020) on
q-coherent states of the Arik–Coon q-oscillator. The quadratic powers of unbounded and …

Nonclassicality of photon-added q-squeezed first excited states

M Sayyah-Fard - Physica A: Statistical Mechanics and its Applications, 2021 - Elsevier
A new kind of the optical q-squeezed first excited states as eigenstates of an appropriate two-
photon annihilation operator corresponding to the Biedenharn–Macfarlane q-oscillator are …

Triplet q-cat states of the Biedenharn–Macfarlane q-oscillator with q > 1

H Fakhri, M Sayyah-Fard - Quantum Information Processing, 2020 - Springer
The normalized triplet q-cat states associated with three orthogonal subspaces of the Fock
space representation of the Biedenharn–Macfarlane q-oscillator are constructed as …

Para-Bose oscillator algebras of odd orders: x-representations and Wigner functions for coherent and cat states and their photon-added and photon-subtracted …

H Fakhri, M Sayyah-Fard - The European Physical Journal Plus, 2022 - Springer
The expansion coefficients for the Glauber-type coherent states| z⟩ λ of a para-Bose algebra
of odd order P= 2 λ+ 1 are expressed in terms of the Laguerre polynomials of order λ in| z| 2 …

Approach of the continuous -Hermite polynomials to -representation of -oscillator algebra and its coherent states

H Fakhri, SE Mousavi Gharalari - International Journal of Geometric …, 2020 - World Scientific
We use the recursion relations of the continuous q-Hermite polynomials and obtain the q-
difference realizations of the ladder operators of aq-oscillator algebra in terms of the Askey …