Influence of intrinsic decoherence on nonclassical effects in the nondegenerate bimodal multiquanta Jaynes-Cummings model

Obada, A.‐S. F.; Abdel-Hafez, A. M.; Hessian, H. A.

doi:10.1088/0953-4075/31/23/007

Cited by 20 publications

(11 citation statements)

References 62 publications

(78 reference statements)

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“…[34][35][36], we arrive at the explicit expression of the exact solution of the master equation (2) for multi-quanta twomode JC model in the following form:…”

Section: Analytic Solution Of the Master Equationmentioning

confidence: 99%

Entropy Growth and Formation of Stationary Entanglement due to Intrinsic Noise in the Two-Mode JC Model

Hessian¹

2013

Quant. Phys. Lett.

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Abstract:We investigate the dynamics of the two-mode Jaynes-Cummings model with generalized nonlinear coupling including intrinsic noise as described by the Milburn equation. Based on a general analytic solution of the corresponding master equation, we calculate the growth of entropy in the system at the special case of two Raman-coupled long lived atomic states as well as the partial entropies of the atom and field subsystem. We see that the system is very sensitive to phase noise, if both fields are initially in a coherent state. The dynamics then rapidly leads to suppression of quantum revivals and a steady entanglement between the fields and the atom. This hints for serious limitations for the use of Raman induced transitions in quantum information processing setups. For an alternative entanglement measure we calculate the negativity of the eigenvalues of the partially transposed density matrix and compare it to the difference of the total entropy to the sum of field and atom partial entropies.

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“…[34][35][36], we arrive at the explicit expression of the exact solution of the master equation (2) for multi-quanta twomode JC model in the following form:…”

Section: Analytic Solution Of the Master Equationmentioning

confidence: 99%

Entropy Growth and Formation of Stationary Entanglement due to Intrinsic Noise in the Two-Mode JC Model

Hessian¹

2013

Quant. Phys. Lett.

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“…This equation has been solved for a harmonic oscillator and a precessing spin system [58,59] the simple JC model [60][61][62], the resonant multiphoton JC model [63] and the nondegenerate two-mode JC model [64][65][66]. In what follows we shall consider the exact solution of this equation for multi-quanta JC model with a detuning parameter in either a superposition state (SS) or a mixture state (SM).…”

Section: Exact Solution Of the Milburn Equationmentioning

confidence: 99%

“…For convenience, we introduce three auxiliary superoperators [60][61][62][63][64][65][66]Ĵ ,Ŝ andL defined by…”

Section: Exact Solution Of the Milburn Equationmentioning

confidence: 99%

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Entropy Growth and Degradation of Entanglement Due to Intrinsic Decoherence for an Initial Mixed State in the Multi-Quanta JC Model

Hessian

2008

Int J Theor Phys

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In this paper, we present a study of the entropy growth and degradation of entanglement due to intrinsic decoherence for some different initial states in the multi-quanta Jaynes-Cummings model. We analytically solve the Milburn equation for such JC model. Using an established entanglement measure based on the negativity of the eigenvalues of the partially transposed density matrix we find a very strong sensitivity of the maximally generated entanglement to the amount of decoherence, the multiplicity and the form of the and the initial state. Comparison with different measures of entanglement are made.

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“…Free evolution of a given quantum system was discussed early [15] but investigations of interacting subsystems followed [19][20][21][22][23][24][25][26][27][28]. The off-diagonal elements of the density operator in the Milburn model are intrinsically suppressed in the energy eigenstate basis, thereby intrinsic decoherence is realized without the usual dissipation associated with the normal decay.…”

Section: Introductionmentioning

confidence: 99%

Intrinsic decoherence effects on quantum dynamics of the nondegenerate two-photon f-deformed Jaynes–Cummings model governed by the Milburn equation

Naderi¹

2007

Can. J. Phys.

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In this paper, we study the influence of the intrinsic decoherence on quantum statistical properties of a generalized nonlinear interacting atom-field system, i.e., the nondegenerate two-photon f -deformed Jaynes-Cummings model governed by the Milburn equation. The model contains the nonlinearities of both the cavity-field and the atom-field coupling. Until now, very few exact solutions of nonlinear systems that include a form of decoherence have been presented. The main achievement of the present work is to find exact analytical solutions for the quantum dynamics of the nonlinear model under consideration in the presence of intrinsic decoherence. With the help of a supersymmetric transformation, we first put the model Hamiltonian into an appropriate form for treating the intrinsic decoherence. Then, by applying the superoperator technique, we find an exact solution of the Milburn equation for a nondegenerate two-photon f -deformed Jaynes-Cummings model. We use this solution to investigate the effects of the intrinsic decoherence on temporal evolution of various nonclassical properties of the system, i.e., atomic population inversion, atomic dipole squeezing, atom-field entanglement, sub-Poissonian photon statistics, cross correlation between the two modes and quadrature squeezing of the cavity field. Particularly, we compare the numerical results for three different cases of two-mode deformed, one-mode deformed, and nondeformed Jaynes-Cummings models.Résumé : Nous étudions ici l'influence de la décohérence intrinsèque sur les propriétés statistiques quantiques d'un système nonlinéaire généralisé d'atomes-champ en interaction, i.e. le modèle de Jaynes-Cummings de deux photons non-dégénéré à déformation f décrit par une équation de Milburn. Le modèle est non linéaire à la fois par le couplage champcavité optique et par le couplage atome-champ. Jusqu'à maintenant, très peu de solutions exactes ont été présentées pour des systèmes non linéaires présentant une décohérence. Le résultat principal ici est l'obtention de solutions exactes pour la dynamique quantique du modèle non-linéaire étudié en présence de décohérence. À l'aide d'une transformation supersymétrique, le Hamiltonien modèle prend une forme appropriée pour traiter la décohérence intrinsèque. Ensuite, la technique des super-opérateurs permet d'obtenir une solution exacte de l'équation de Milburn pour le modèle de Jaynes-Cummings à deux photons non dégénérés avec déformation f . Nous utilisons cette solution pour étudier l'effet de la décohérence intrinsèque sur l'évolution dans le temps de différentes propriétés non linéaires du système, i.e., l'inversion de population atomique, la compression du dipôle atomique, l'intrication atome-champ, la statistique sous-Poisson des photons (bunching), la corrélation croisée entre les deux modes et la réduction quadratique de l'ensemble cavité champ. Particulièrement, nous comparons les résultats numériques pour trois différents cas, à deux modes déformés, à un mode déformé et les modèles non déformés de Jaynes-Cummin...

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Influence of intrinsic decoherence on nonclassical effects in the nondegenerate bimodal multiquanta Jaynes-Cummings model

Cited by 20 publications

References 62 publications

Entropy Growth and Formation of Stationary Entanglement due to Intrinsic Noise in the Two-Mode JC Model

Entropy Growth and Formation of Stationary Entanglement due to Intrinsic Noise in the Two-Mode JC Model

Entropy Growth and Degradation of Entanglement Due to Intrinsic Decoherence for an Initial Mixed State in the Multi-Quanta JC Model

Intrinsic decoherence effects on quantum dynamics of the nondegenerate two-photon f-deformed Jaynes–Cummings model governed by the Milburn equation

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