Dynamical behaviours of the nonlinear atom–field interaction in the presence of classical gravity:<i>f</i>-deformation approach

Barzanjeh, Sh.; Naderi, M. H.; Soltanolkotabi, M.

doi:10.1088/1751-8113/43/37/375304

Cited by 4 publications

(1 citation statement)

References 71 publications

(137 reference statements)

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“…[25] Barzangeh et al investigated the effect of a classical gravitational field on the dynamical behavior of the nonlinear atom-field interaction within the framework of the f -deformed JCM. [26] Abdel-Aty et al studied the entropy squeezing of a two-level atom in a Kerr medium and examined the influence of the nonlinear interaction of the Kerr medium on the quantum information and entropy squeezing. [27] Cordero and Récamier considered a Jaynes-Cummings Hamiltonian with deformed operators of the field and an additional Kerr term introduced by means of a purely algebraic method.…”

Section: Introductionmentioning

confidence: 99%

Entropy squeezing and atomic inversion in the k -photon Jaynes—Cummings model in the presence of the Stark shift and a Kerr medium: A full nonlinear approach

Baghshahi¹,

Tavassoly²,

Behjat³

2014

Chinese Phys. B

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In this paper the interaction between a two-level atom and a single-mode field in the kphoton Jaynes-Cummings model (JCM) in the presence of Stark shift and Kerr medium is studied. All terms in the respected Hamiltonian, such as the single-mode field, its interaction with the atom, the contribution of the Stark shift and the Kerr medium effects are considered to be f -deformed. In particular, the effect of the initial state of radiation field on the dynamical evolution of some physical properties such as atomic inversion and entropy squeezing are investigated by considering different initial field states. To achieve this purpose, coherent, squeezed and thermal states as initial field states are considered.

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Section: Introductionmentioning

confidence: 99%

Entropy squeezing and atomic inversion in the k -photon Jaynes—Cummings model in the presence of the Stark shift and a Kerr medium: A full nonlinear approach

Baghshahi¹,

Tavassoly²,

Behjat³

2014

Chinese Phys. B

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Path integral for quantum dynamics with position-dependent mass within the displacement operator approach

2020

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In the context of quantum mechanics reformulated in a modified Hilbert space, we can formulate the Feynman’s path integral approach for the quantum systems with position-dependent mass particle using the formulation of position-dependent infinitesimal translation operator. Which is similar a deformed quantum mechanics based on modified commutation relations. An illustration of calculation is given in the case of the harmonic oscillator, the infinite square well and the inverse square plus Coulomb potentials.

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Dynamics of States in the Nonlinear Interaction Regime Between a Three-Level Atom and Generalized Coherent States and Their Non-Classical Features

Tavassoly

Yadollahi

2012

Int. J. Mod. Phys. B

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The present study investigates the interaction of an equidistant three-level atom and a single-mode cavity field that has been initially prepared in a generalized coherent state. The atom-field interaction is considered to be, in general, intensitydependent. We suppose that the nonlinearity of the initial generalized coherent state of the field and the intensity-dependent coupling between atom and field are distinctly chosen. Interestingly, an exact analytical solution for the time evolution of the state of atom-field system can be found in this general regime in terms of the nonlinearity functions. Finally, the presented formalism has been applied to a few known physical systems such as Gilmore-Perelomov and Barut-Girardello coherent states of SU (1, 1) group, as well as a few special cases of interest. Mean photon number and atomic population inversion will be calculated, in addition to investigating particular non-classicality features such as revivals, sub-Poissonian statistics and quadratures squeezing of the obtained states of the entire system. Also, our results will be compared with some of the earlier works in this particular subject.

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Dynamical behaviours of the nonlinear atom–field interaction in the presence of classical gravity:f-deformation approach

Cited by 4 publications

References 71 publications

Entropy squeezing and atomic inversion in the k -photon Jaynes—Cummings model in the presence of the Stark shift and a Kerr medium: A full nonlinear approach

Entropy squeezing and atomic inversion in the k -photon Jaynes—Cummings model in the presence of the Stark shift and a Kerr medium: A full nonlinear approach

Path integral for quantum dynamics with position-dependent mass within the displacement operator approach

Dynamics of States in the Nonlinear Interaction Regime Between a Three-Level Atom and Generalized Coherent States and Their Non-Classical Features

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