Nonclassicality of photon-added <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e581" altimg="si231.svg"><mml:mi>q</mml:mi></mml:math>-squeezed first excited states

Sayyah-Fard, M.

doi:10.1016/j.physa.2020.125636

Cited by 3 publications

(1 citation statement)

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“…In recent decades, several authors have proposed some extension and deformation of the bosonic Fock-Heisenberg algebra to improve some properties of quantum field theory, which most of them have been accomplished until now. A lot of researchers have introduced the various types of q -deformations of the simple harmonic oscillator by using Jackson’s q -calculus 18 – 21 and considered their novel states related to q -deformed Lie algebras such as q -coherent states, q -squeezed states and q -cat states 22 – 29 . Another interesting modification of the Heisenberg algebra is Wigner algebra involving the reflection operator R and Wigner parameter appeared in the bosonic commutation relations and the equations of motion.…”

Section: Introductionmentioning

confidence: 99%

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

Fakhri

Sayyah-Fard

2021

Sci Rep

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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 quantum-mechanical nature of the light field of these para-Bose states is studied, and it is found that para-Bose order plays an important role in the nonclassical behaviors including photon antibunching, sub-Poissonian statistics, signal-to-quantum noise ratio, quadrature squeezing effect, and multi-peaked number distribution. Furthermore, we consider the Jaynes-Cummings model of a two-level atom in a para-Bose cavity field with the initial states of the excited and Glauber coherent ones when the atom makes one-photon transitions, and obtain exact energy spectrum and eigenstates of the deformed model. Nonclassical properties of the time-evolved para-Bose atom-field states are exhibited through evaluating the fidelity, evolution of atomic inversion, level damping, and von Neumann entropy. It is shown that the evolution time and the para-Bose order control these properties.

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Section: Introductionmentioning

confidence: 99%

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

Fakhri

Sayyah-Fard

2021

Sci Rep

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

Fakhri

Sayyah-Fard²

2022

Eur. Phys. J. Plus

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Thermal states of two identical two-level atoms interacting with the single-mode fields of the Arik–Coon and Biedenharn–Macfarlane q-oscillators

Fakhri,

Mirzaei,

Sayyah-Fard

2023

Mod. Phys. Lett. A

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We consider the Jaynes–Cummings models (JCMs) of two identical two-level atoms interacting with a single mode of the Arik–Coon and Biedenharn–Macfarlane [Formula: see text]-boson fields in a cavity. It is shown that there is a constant of motion, so-called the total number of excitation, which leads to decomposition of the total Hilbert space of [Formula: see text]-deformed system into three invariant subspaces. So, we have the block diagonal structure with three blocks as the Hamiltonian matrices. The exact energy spectrum and eigenstates of the [Formula: see text]-deformed models are obtained by diagonalizing each block. Assuming that the cavity fields and atoms are in thermal equilibrium, the partition function and thermal density matrix of the models are calculated. Finally, the influence of deformation parameters of the Arik–Coon and Biedenharn–Macfarlane [Formula: see text]-oscillator light fields at low-temperatures on the entropy and internal energy of the Jaynes–Cummings models as well as on the atom–atom entanglement via the concurrence measure is analyzed.

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Nonclassicality of photon-added q-squeezed first excited states

Cited by 3 publications

References 50 publications

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

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

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

Thermal states of two identical two-level atoms interacting with the single-mode fields of the Arik–Coon and Biedenharn–Macfarlane q-oscillators

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