The f-deformed Jaynes–Cummings model and its nonlinear coherent states

Santos-Sánchez, O de los; Récamier, J.

doi:10.1088/0953-4075/45/1/015502

Cited by 67 publications

(44 citation statements)

References 35 publications

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“…Conversely, the substitution of (24) into the left hand side of the first eq. (9) gives (27) and into the left hand side of the first eq. (10)…”

Section: It Means That (13) In General Does Not Imply (8)mentioning

confidence: 99%

“…For example, the Jaynes-Cummings models in quantum optics, in parallel to deformed oscillator algebras, generated the Biedenharn-Macfarlane's [26],the f-oscillator's [27], the (p, q)-deformed versions [11] of this model. The same takes place for two-dimensional conformal fields theories induced by the Arik-Coon [29], the Biedenharn-Macfarlane [30], the (p, q) [31], the Oh-Sigh [28] deformed versions of the oscillator algebras.…”

Section: Introductionmentioning

confidence: 99%

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Unified -deformation of oscillator algebra and two-dimensional conformal field theory

Burban

2013

Physics Letters A

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“…Conversely, the substitution of (24) into the left hand side of the first eq. (9) gives (27) and into the left hand side of the first eq. (10)…”

Section: It Means That (13) In General Does Not Imply (8)mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Unified -deformation of oscillator algebra and two-dimensional conformal field theory

Burban

2013

Physics Letters A

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“…Many generalizations have been proposed to modify the JCM in the literature [5,6,7,8,9,10,11,12,13]. In addition, various researches have been published to quantify the atom-field entangled states, using the standard JCM (and also the generalized JCM).…”

Section: Introductionmentioning

confidence: 99%

Dynamics of entanglement of a three-level atom in motion interacting with two coupled modes including parametric down conversion

Faghihi

Tavassoly

Hatami

2014

Physica A: Statistical Mechanics and its Applications

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In this paper, a model by which we study the interaction between a motional three-level atom and two-mode field injected simultaneously in a bichromatic cavity is considered; the three-level atom is assumed to be in a Λ-type configuration. As a result, the atom-field and the field-field interaction (parametric down conversion) will be appeared. It is shown that, by applying a canonical transformation, the introduced model can be reduced to a well-known form of the generalized Jaynes-Cummings model. Under particular initial conditions, which may be prepared for the atom and the field, the time evolution of state vector of the entire system is analytically evaluated. Then, the dynamics of atom by considering 'atomic population inversion' and two different measures of entanglement, i.e., 'von Neumann entropy' and 'idempotency defect' is discussed, in detail. It is deduced from the numerical results that, the duration and the maximum amount of the considered physical quantities can be suitably tuned by selecting the proper field-mode structure parameter p and the detuning parameters.

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“…More recently, a lot of researchers have found that the ordinary creation and annihilation operators in JCM may be replaced by the q-deformed partners, namely, the q -deformed JCM21. Later on, JCM has been adopted with a Kerr nonlinearity within the framework of f -oscillator formalism22. Furthermore, the investigations of a class of shape-invariant bound state problem, which represents a two-level system, leads to the generalized JCM23.…”

mentioning

confidence: 99%

“…One of the most interesting cases which is not related to the q or f -calculus is R -deformed Heisenberg algebra (RDHA). Such generalized schemes naturally lead to the concept of para-fields and para-statistics18192021222324252627282930313233343536. The same RDHA was also used for solving the quantum mechanical Calogero model or pseudo harmonic oscillator (PHO)3738394041.…”

mentioning

confidence: 99%

Parity Deformed Jaynes-Cummings Model: “Robust Maximally Entangled States”

Dehghani¹,

Mojaveri²,

Shirin³

et al. 2016

Sci Rep

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The parity-deformations of the quantum harmonic oscillator are used to describe the generalized Jaynes-Cummings model based on the λ-analog of the Heisenberg algebra. The behavior is interestingly that of a coupled system comprising a two-level atom and a cavity field assisted by a continuous external classical field. The dynamical characters of the system is explored under the influence of the external field. In particular, we analytically study the generation of robust and maximally entangled states formed by a two-level atom trapped in a lossy cavity interacting with an external centrifugal field. We investigate the influence of deformation and detuning parameters on the degree of the quantum entanglement and the atomic population inversion. Under the condition of a linear interaction controlled by an external field, the maximally entangled states may emerge periodically along with time evolution. In the dissipation regime, the entanglement of the parity deformed JCM are preserved more with the increase of the deformation parameter, i.e. the stronger external field induces better degree of entanglement.

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The f-deformed Jaynes–Cummings model and its nonlinear coherent states

Cited by 67 publications

References 35 publications

Unified -deformation of oscillator algebra and two-dimensional conformal field theory

Unified -deformation of oscillator algebra and two-dimensional conformal field theory

Dynamics of entanglement of a three-level atom in motion interacting with two coupled modes including parametric down conversion

Parity Deformed Jaynes-Cummings Model: “Robust Maximally Entangled States”

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