Entanglement for a general formalism of a three-level atom in a V-configuration interacting nonlinearly with a non-correlated two-mode field

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

doi:10.1088/1054-660x/23/5/055201

Cited by 17 publications

(13 citation statements)

References 63 publications

(65 reference statements)

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“…A tentative approach to entanglement measures for a system of a three-level atom interacting with a quantized cavityfield has been introduced [39]. Furthermore, the evolution of the (atomic) field entropy for the three-level atom one-mode [40][41][42][43][44][45][46][47][48][49][50][51] and two-mode [52][53][54][55] model has been studied. On the other hand, the system of a four-level atom interacting with a single mode of electromagnetic field has been investigated [56][57][58][59][60][61].…”

Section: Introductionmentioning

confidence: 99%

Entanglement of a System of an Indirectly Linked Two-Coupled-Cavity through an Optical Fiber Cable for Single Excitation Atomic States in the Presence of an External Field

Hanoura

2021

Preprint

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The dynamics of the quantum entropies of a system of two cavities coupled by an optical fiber cable, each cavity contains a two-level atom interacting with a single electromagnetic field in addition to an external classical field, is investigated. Under canonical transformations, the considered Hamiltonian is diagonalized. Effective Hamiltonians in three different limiting regimes: namely large optical fiber cable coupling bstrength, large detunig, and comparable detuning and optical fiber cable coupling strength, are derived. The ith ¯ -tom are respectively prepared in the superposition coherent and the ground states while the fields are prepared in the vacuum states. An analytical expression for the solution of the Schr¨odinger equation for each dispersive is derived. The degree of entanglement (DEM) is studied by using von Neumann atomic entropies. The influences of both the optical fiber cable coupling strength and the detuning on the evolution of the DEM ”their values are closely chosen to be compatible with the imposed restrictions for the applications of the different regimes” are analyzed. General conclusions reached are illustrated by numerical results.

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Section: Introductionmentioning

confidence: 99%

Entanglement of a System of an Indirectly Linked Two-Coupled-Cavity through an Optical Fiber Cable for Single Excitation Atomic States in the Presence of an External Field

Hanoura

2021

Preprint

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“…Some of these generalizations were extended to include multi‐atom instead of one atom, and multi‐level systems, as well as multi‐photon and multi‐mode . Whereupon, the extensions have included systems of variety of configurations of three‐level atom and four‐level atom . In the previously cited treatments, the atoms were trapped in a one cavity.…”

Section: Introductionmentioning

confidence: 99%

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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“…In this paper, we have considered a vee-type three-level atom, which interacts with a field in a resonant cavity [14,15,16,17,18,19,20,21,22]. We would like to study the atomic coherent state [52] of a three-level atom, whose evolution started with a coherent super position of its excited states and it is interacting with a coherent field.…”

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confidence: 99%

Majorization effect on entropic functionals: An application to a V-type three-level atom-field interacting system

Nath¹

2021

Preprint

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The majorization effect on some entropic functionals, such as von-Neumann, Shannon, atomic Wehrl and Rényi entropies are investigated of a vee type three-level atom which interacts with a coherent field in a resonant cavity.Moreover, the fidelity, purity and linear entropy are investigated of two quantum systems, which contain photon number distributions (discrete) and Husimi Q function (continuous distribution). A relation between the majorization and localization properties of continuous density functionals is established. The results are compared and verified for continuous and discrete distributions.

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Entanglement for a general formalism of a three-level atom in a V-configuration interacting nonlinearly with a non-correlated two-mode field

Cited by 17 publications

References 63 publications

Entanglement of a System of an Indirectly Linked Two-Coupled-Cavity through an Optical Fiber Cable for Single Excitation Atomic States in the Presence of an External Field

Entanglement of a System of an Indirectly Linked Two-Coupled-Cavity through an Optical Fiber Cable for Single Excitation Atomic States in the Presence of an External Field

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

Majorization effect on entropic functionals: An application to a V-type three-level atom-field interacting system

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