Linear entropy in the Jaynes–Cummings model with a Kerr nonlinearity

Hou, Xi-Wen; Chen, Jinghua; Wan, Ming-Fang; Ma, Zhong‐Qi

doi:10.1016/j.optcom.2006.05.033

Cited by 8 publications

(4 citation statements)

References 34 publications

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“…Furthermore, as long as, the detuning is of high values, the function exhibits valley shape behavior (see Figs. (23,24)). Again the detuning growth prolongs the revival time.…”

Section: Single Atom Entanglementmentioning

confidence: 99%

“…The only observed change is limited to showing a manipulated image with a reintroduction for the regularity in the behavior of the DEM function (compare Figs. (22,23,24) with Figs. (29,30,31) respectively).…”

Section: Time-average Evolutionmentioning

confidence: 99%

“…In recent years much attention has been focused on the properties of the entanglement between the field and the atom. In particular, the entropy of a two-level system interacting with a single-mode [20][21][22][23][24][25][26][27][28], and two-mode [29,30] has been investigated. Also, atom-field entanglement in multi-photon processes for a single atom either with a one-mode or with a two-mode field [21,[31][32][33][34], and a two-atom system has been studied [20,27,[35][36][37][38].…”

Section: Introductionmentioning

confidence: 99%

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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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“…Furthermore, as long as, the detuning is of high values, the function exhibits valley shape behavior (see Figs. (23,24)). Again the detuning growth prolongs the revival time.…”

Section: Single Atom Entanglementmentioning

confidence: 99%

Section: Time-average Evolutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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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“…Many researchers turned their attention to extend and generalize the J.C. model. In recent years much attention has been focused on the properties of the entanglement between the field and the atom and, in particular, the entropy of a two-level system interacting with a single-mode [16][17][18][19][20][21][22][23][24], and two-mode [25,26] has been investigated. Also, atom-field entanglement in multi-photon processes for a single atom either with a one-mode or with a two-mode field [17,[27][28][29][30][31], and a two-atom system has been studied [16,23,[32][33][34][35].…”

Section: Introductionmentioning

confidence: 99%

Quantum Entropy of a Four-Level Atom with Arbitrary Nonlinearities

2012

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General formalisms of a four-level atom in different configurations interacting with a single mode quantized electromagnetic field under multi-photon process with additional forms of nonlinearities of both the field and the intensity-dependent atom-field coupling are investigated. Analytical expressions for the time unitary evolution operator and density operator are obtained. The atom is prepared in its upper most and the field is prepared in a binomial state. The effects of the mean photon number, photon multiplicity, detuning, Kerr-like medium and the intensity-dependent coupling functional on the entropy are considered. General conclusions reached are illustrated by numerical results.

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