Dissipative dynamics of two-photon Jaynes–Cummings model with the Stark shift in the dispersive approximation

Zhou, Ling; Song, He-Shan; Luo, Yao-Xing; Li, C.

doi:10.1016/s0375-9601(01)00308-5

Cited by 32 publications

(20 citation statements)

References 17 publications

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“…The entanglement between the atom and the field, as well as the decoherence induced by the cavity of the usual dispersive JC model has been studied, 42), 43) where only the coherence of the atom is affected by the cavity. The coherence of the field remains unchanged by the environment.…”

Section: Resultsmentioning

confidence: 99%

Quantum Decoherence and Entanglement Induced by Nonlinear Dissipative Environment

Hessian¹

2012

Progress of Theoretical Physics

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The analytical description of the dynamics of a nonlinear atom-field system described by a diagonal f -deformed Jaynes-Cummings model for a chosen initial state is obtained. The purity loss of the global system, and the atomic and field subsystems are discussed. Information on entanglement between the field and matter is studied by comparing the results for mutual entropy, which is a measure of the total correlation, and the negativity as a measure of the amount of entanglement. It is found that the nonlinearity of the dissipation tends to accelerate the decoherence of the global, field, and atomic states. In addition, we find that the so-called entanglement sudden death can occur when both of the nonlinearity couplings between the cavity field and the dissipation are combined.Subject Index: 061 §1. IntroductionThe Jaynes-Cummings (JC) model 1) is one of the oldest and paradigmatic nontrivial models in quantum optics. It has been used extensively to describe the quantum features of the interaction of a single two-level atom with a single cavity mode. One of the simplest physical realizations of the JC model is the one-atom maser or micromaser. 2) Recently, cooling techniques have allowed the trapping and manipulation of atoms by optical means. These new technologies have provided an alternative physical realization of the JC model, 3) where cold trapped ions can be excited in such a way that the effective unitary dynamics is described by a nonlinear JC model.In the above situation, the phonon field corresponding to the vibrational motion of the ion plays the role of an electromagnetic cavity field, and the electronic levels of the ion effectively act as a two-level system. By conveniently choosing the laser excitation, different coupling schemes can be realized. The resulting dynamics is a generalization of the JC model, where the effective two-level system and the vibrational modes can interchange k excitation quanta. 4) There is an increasing interest in the study of this system the main motivation comes from the field of quantum computation and information, 5) where trapped-ion systems are considered as one of the most promising resources for implementing controlled generation and manipulation of quantum states.One of the major problems to overcome in these areas is decoherence. Much work has been dedicated to the theoretical study of the dissipative JC model by considering cavity loss and atom decay with constant coupling between the cavity field and its environment, 6), 7) and with the coupling being deformed with the atom in a

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Section: Resultsmentioning

confidence: 99%

Quantum Decoherence and Entanglement Induced by Nonlinear Dissipative Environment

Hessian¹

2012

Progress of Theoretical Physics

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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%

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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“…Because of the damping of the field is larger than the damping of the atom many authors [18][19][20][21] neglect the damping of the atom. Also there are many studies that focused on the properties of the entanglement [22][23][24][25][26][27][28] neglect the damping of the atom. But the entanglement induced by the atomic damping of a dispersive reservoir c P dissected in [29].…”

Section: Introductionmentioning

confidence: 99%

Effect of atomic decay on purity, total correlations and entanglement of pure and mixed states

Hessian

2012

Journal of the Egyptian Mathematical Society

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The atomic decay for a two level atom interacting with a single mode of electromagnetic field is considered. In particular for a coherent state or statistical mixture (SM) of two opposite coherent states as initial field states, the exact solution of the master equation is found. Effect of the atomic damping on the partial entropies of the atom or the field and the total entropy as a measures of the purity loss is investigated. The degree of entanglement by the negativity and the mutual information and the atomic coherence through the master equation is studied.

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Dissipative dynamics of two-photon Jaynes–Cummings model with the Stark shift in the dispersive approximation

Cited by 32 publications

References 17 publications

Quantum Decoherence and Entanglement Induced by Nonlinear Dissipative Environment

Quantum Decoherence and Entanglement Induced by Nonlinear Dissipative Environment

Negativity as entanglement degree of the Jaynes–Cummings model

Effect of atomic decay on purity, total correlations and entanglement of pure and mixed states

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