Influence of intrinsic decoherence on entanglement degree in the atom–field coupling system

Zidan, Nour; Abdel‐Aty, Mahmoud; Obada, A.‐S. F.

doi:10.1016/s0960-0779(01)00131-x

Cited by 22 publications

(13 citation statements)

References 32 publications

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“…A three-level atom interacting with a single cavity field with an arbitrary form of the intensity-dependent coupling has been studied in [29]. The effect of dissipation on the entanglement properties in the framework of the JCM and related models have been studied [30,31,32,33]. A study has been done on the entropy correlations between an atom and a single quantized cavity mode in the framework of the JCM by considering the both pure and mixed atomic and field states [34].…”

Section: T1mentioning

confidence: 99%

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Negativity as entanglement degree of the Jaynes–Cummings model

Akhtarshenas

Farsi

2007

Phys. Scr.

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In this paper, by using the notion of negativity, we study the degree of entanglement of a two-level atom interacting with a quantized radiation field, described by the JaynesCummings model (JCM). We suppose that initially the field is in a pure state and the atom is in a general mixed state. In this case the negativity fully captures the entanglement of the JCM. We investigate the case for that the initial state of the field is a coherent state. The influences of the detuning on the degree of entanglement is also examined.

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Section: T1mentioning

confidence: 99%

“…In most of the previous studies on the entanglement of the JCM, quantum mutual entropy is adapted to measure the degree of entanglement of the atom and the field (for instance see [15,16,21,22,29,32]). The quantum mutual entropy (also called index of correlation [38,39]) for a given density matrix ρ is defined by…”

Section: T1mentioning

confidence: 99%

Negativity as entanglement degree of the Jaynes–Cummings model

Akhtarshenas

Farsi

2007

Phys. Scr.

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“…In the most of studies on the entanglement of JCM, index of correlation (quantum mutual entropy) is adapted to measure degree of entanglement of atom and the field [18,19,24,[30][31][32][33]. Also the authors of [34] have studied the negativity as the entanglement degree of the JCM.…”

Section: Introductionmentioning

confidence: 99%

Negativity as Entanglement Degree of a Non-Hermitian Model

2009

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We investigate non-Hermitian Hamiltonian which governs system includes twolevel atoms and electromagnetical field. Using the notion of negativity, we study the degree of entanglement of a two-level atom interacting with a quantized electromagnetical field, described by the non-Hermitian Hamiltonian (Saaidi in Phys. Scr. 77:0065002, 2008). With the help of numerical calculation for the case that the system state is pure, we show that the measurement of negativity of this system is nonzero and has a different functional with respect to negativity of the Jaynes-Cumming model (JCM).

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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 entanglement degree in the atom–field coupling system

Cited by 22 publications

References 32 publications

Negativity as entanglement degree of the Jaynes–Cummings model

Negativity as entanglement degree of the Jaynes–Cummings model

Negativity as Entanglement Degree of a Non-Hermitian 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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