Quantum Entropy of a Four-Level Atom with Arbitrary Nonlinearities

Eied, A. A.; Hanoura, S. A.; Obada, A.‐S. F.

doi:10.1007/s10773-012-1160-4

Cited by 14 publications

(6 citation statements)

References 50 publications

(47 reference statements)

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“…We end this subsection with an overview on the mean photon number distribution in an explicit manner [33,61]. By using the first relation in Eq.…”

Section: Quantum Statistics: Mandel Parameter and Mean Photon Number ...mentioning

confidence: 99%

“…Once an atom and a radiation field are entangled with each other, the atom can be fully controlled by photons of the field. Many authors have found the degree of entanglement (DEM) in engineered interactions between two-, three-and four-level atoms with cavity field while different conditions have been taken into account [31][32][33]. Even though a lot of attention has been paid to two two-level atoms interacting with different field modes [34] (including additional interacting terms [35]), as well as one three-level atom interacting with various types of fields [21,22], to the best of our knowledge, the interaction between two three-level atoms with even a single-mode field, its exact and entire wavevector solution and the consequent physical properties have still not appeared in literature.…”

Section: Introductionmentioning

confidence: 99%

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Entanglement, quantum statistics and squeezing of twoΞ-type three-level atoms interacting nonlinearly with a single-mode field

Baghshahi

Tavassoly

2014

Phys. Scr.

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The interaction between two Ξ-type three-level atoms and a single-mode cavity field in the intensity dependent coupling regime has been studied. Exact analytical solution of the wave function for the considered atoms-field system has been obtained by using the Laplace transform technique when the atoms are initially prepared in the excited state and the field is in a coherent state. The presented structure has the potential ability to generate various new classes of entangled states depending on the chosen nonlinearity function. Two forms of intensity-dependent coupling as well as constant coupling are considered. Some important physical properties such as quantum entanglement, quantum statistics and quadrature squeezing of the corresponding states are investigated, numerically, by which the nonclassicality features of the produced entangled state are well-established. In particular, the effect of intensity-dependent coupling on the degree of entanglement between different bipartite partitions of the system (that is, "atom+atom"-field and "field+atom"-atom) using the linear entropy is investigated. At the same time, by paying attention to the negativity as a useful measure, the entanglement between the two atoms is studied in detail.

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“…We end this subsection with an overview on the mean photon number distribution in an explicit manner [33,61]. By using the first relation in Eq.…”

Section: Quantum Statistics: Mandel Parameter and Mean Photon Number ...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Entanglement, quantum statistics and squeezing of twoΞ-type three-level atoms interacting nonlinearly with a single-mode field

Baghshahi

Tavassoly

2014

Phys. Scr.

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“…In the left plots (f (n) = 1) of figures 4 and 5, Mandel parameter varies between positive and negative values, which means that the photons display super-or sub-Poissonian statistics for different intervals of times, alternatively. We end this subsection with an overview on the mean photon number distribution in an explicit manner [41,65]. By using Eq.…”

Section: Quantum Statisticsmentioning

confidence: 99%

“…We end this subsection with an overview on the mean photon number distribution in an explicit manner. [41,65] By using Eq. ( 25), in Figs.…”

Section: Quantum Statisticsmentioning

confidence: 99%

“…The interaction between a fourlevel atom in different configurations (i.e. Y , λ and ladder configurations) with a single-mode field under multi-photon process with additional forms of nonlinearities of both: "field" and "atom-field coupling" has also been studied in [41]. In the present work we will deal with the interaction between a ♦-type four-level atom [42] with a single-mode cavity field with intensitydependent coupling and multi-photon processes in a cavity containing a Kerr medium.…”

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confidence: 99%

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Dynamics of Entropy and Nonclassicality Features of the Interaction between a ⋄-type Four-Level Atom and a Single-Mode Field in the Presence of Intensity-Dependent Coupling and Kerr Nonlinearity

Baghshahi

Tavassoly

Behjat

2014

Commun. Theor. Phys.

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The interaction between a ♦-type four-level atom and a single-mode field in the presence of Kerr medium with intensity-dependent coupling involving multi-photon processes has been studied. Using the generalized (nonlinear) Jaynes-Cummings model, the exact analytical solution of the wave function for the considered system under particular condition, has been obtained when the atom is initially excited to the topmost level and the field is in a coherent state. Some physical properties of the atom-field entangled state such as linear entropy showing the entanglement degree, Mandel parameter, mean photon number and normal squeezing of the resultant state have been calculated. The effects of Kerr medium, detuning and the intensity-dependent coupling on the temporal behavior of the latter mentioned nonclassical properties have been investigated. It is shown that by appropriately choosing the evolved parameters in the interaction process, each of the above nonclassicality features, which are of special interest in quantum optics as well as quantum information processing, can be revealed.[10], entanglement [11], atomic dipole squeezing [12,13] and so on. This model has been extended in different directions such as multi-mode fields [14,15,16], multi-atoms interaction [17,18], multi-level atoms [19] and Kerr nonlinearity [20]. The interaction between two-level and different types of three-level atoms with quantized cavity field have been reviewed by Yoo and Eberly in [2]. Also, in recent years, researchers have strongly focused on the nonlinear interaction between a two-or multi-level atom with cavity field which leads to the deformed JCM. The latter nonlinear JCM, which firstly suggested in [21,22] describes the dependence of atom-field coupling on the light intensity. The revival-collapse phenomenon in the quadrature squeezing has been observed in the interaction between a two-level atom with single-mode cavity field of the multi-photon intensity-dependent JCM [23]. A nonlinear Jaynes-Cummings model which constructed from the standard JCM by deforming the single-mode field operators using f -deformed oscillator introduced by Man , ko et al [24] has been studied in [25]. The nonlinear interaction between a three-level atom in Λ-and V -configuration with a twomode field under a multi-photon process has been studied respectively in [26] and [27]. The interaction between a Λ-and V -type three-level atom with intensity-dependent coupling in a Kerr medium respectively studied in [28] and [29]. Recently, one of us has studied the entanglement dynamics of the nonlinear interaction between a Λ-type three-level atom with a two-mode cavity field in the presence of a cross-Kerr medium and its deformed counterpart [30], intensitydependent atom-field coupling and the detuning parameters [31,32]. Also, the authors have investigated a three-level atom in motion which interacts with a single-mode field in an optical cavity in an intensity-dependent coupling regime [33]. Sub-Poissonian statistics, population inversion and entropy squeezi...

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Single‐Atom Entanglement for a System of Directly Linked Two Cavities in the Presence of an External Classical Field: Effect of Atomic Coherence

Hanoura

Ahmed

Khalil

et al. 2019

Fortschritte der Physik

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The Hamiltonian of a system composed of two standard Jaynes‐Cummings cells connected by the overlap of evanescent cavity fields, which allows photons to hop from the first cavity to the second and vice versa, and interacting with an external classical field, is simplified in the framework of unitary canonical transformations. James's method of the effective Hamiltonian is used in the derivation of two effective Hamiltonians with two completely dispersive regimes. Analytical expressions for the time dependent wavefunction and the elements of the reduced atomic operators for the different Hamiltonians are derived. The temporal evolution of atomic quantum entropy is calculated when the fields are initially in their vacuum states with various forms of the atomic initial states. Effects of the photon hopping strength, detuning and the various forms of the atomic initial states on the evolution of the von Neumann entropies are analyzed. The impact of the time‐average technique on the features resulting due to involving the controlling parameters and their influences on the considered functions is discussed. Damping is taken into account through a non‐Hermitian Hamiltonian and results are discussed. General conclusions reached are illustrated by numerical results.

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Quantum Entropy of a Four-Level Atom with Arbitrary Nonlinearities

Cited by 14 publications

References 50 publications

Entanglement, quantum statistics and squeezing of twoΞ-type three-level atoms interacting nonlinearly with a single-mode field

Entanglement, quantum statistics and squeezing of twoΞ-type three-level atoms interacting nonlinearly with a single-mode field

Dynamics of Entropy and Nonclassicality Features of the Interaction between a ⋄-type Four-Level Atom and a Single-Mode Field in the Presence of Intensity-Dependent Coupling and Kerr Nonlinearity

Single‐Atom Entanglement for a System of Directly Linked Two Cavities in the Presence of an External Classical Field: Effect of Atomic Coherence

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