Collapse and revival phenomenon in the evolution of a resonant field in a Kerr-like medium

Agarwal, G. S.; Puri, Rajeev K.

doi:10.1103/physreva.39.2969

Cited by 139 publications

(98 citation statements)

References 20 publications

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“…We will also examine the link between the extent to which revivals occur and the nature of the initial state. A suitable Hamiltonian for our purposes is the one [9] that describes the interaction of a single-mode field with the atoms of the nonlinear medium through which it propagates. The latter is modelled by an anharmonic oscillator.…”

Section: Introductionmentioning

confidence: 99%

Wave packet dynamics of entangled two-mode states

Sudheesh

Lakshmibala

Balakrishnan

2006

J. Phys. B: At. Mol. Opt. Phys.

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We consider a model Hamiltonian describing the interaction of a single-mode radiation field with the atoms of a nonlinear medium, and study the dynamics of entanglement for specific nonentangled initial states of interest: namely, those in which the field mode is initially in a Fock state, a coherent state, or a photon-added coherent state. The counterparts of near-revivals and fractional revivals are shown to be clearly identifiable in the entropy of entanglement. The "overlap fidelity" of the system is another such indicator, and its behaviour corroborates that of the entropy of entanglement in the vicinity of near-revivals. The expectation values and higher moments of suitable quadrature variables are also examined, with reference to possible squeezing and higherorder squeezing.

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Section: Introductionmentioning

confidence: 99%

Wave packet dynamics of entangled two-mode states

Sudheesh

Lakshmibala

Balakrishnan

2006

J. Phys. B: At. Mol. Opt. Phys.

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“…Predictions from this model have been verified by experiment [3,4]. Many predictions have also been made concerning systems containing a Kerr medium that has an effective Hamiltonian of an anharmonic oscillator [5]. The statistical properties of an anharmonic oscillator, and in particular the Q function, was investigated by Milburn some time ago [6].…”

Section: Introductionmentioning

confidence: 82%

Quasiprobability distributions for the cavity-damped Jaynes-Cummings model with an additional Kerr medium

Werner

Risken

1991

Phys. Rev. A

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A cavity-damped Jaynes-Cummings model with a Kerr-like medium filling the cavity is investigated in the rotating-wave approximation.We introduce six operators with respect to the light field whose equations of motion are transformed to six coupled partial diR'erential equations using the s-parametrized quasiprobability distributions of Cahill and Glauber [Phys. Rev. 177, 1882Rev. 177, (1969]. Equations of motion for expansion coefficients of the distribution functions are solved by a Runge-Kutta procedure for vector tridiagonal relations. Starting with an initial coherent state for the cavity field and the atom in its upper state, we find that revivals of the atomic inversion are more pronounced for a given damping constant compared. to the case of no Kerr medium. Also, quadrature squeezing is less affected by weak cavity damping and thermal noise compared to the standard haynes-Cummings model. The effect of damping on interesting non-Gaussian structures is also discussed.

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“…[25,26], the authors calculated dynamics of a twocomponent Bose-Einstein condensate system by using the so called rotating-wave approximation (RWA). Physically, the essence of RWA is the same with the secular approximation, which is valid in the regime of weakly nonlinearity [24,19], i.e., A, B ≪ g.…”

Section: Theoretical Modelmentioning

confidence: 99%

“…For the case of strong-coupling with the relative larger g, the energy gap ∆ between the two polariton branches becomes larger, so one may safely adopt the so-called secular approximation [20,24] to ignore the particlenumber-nonconservation scattering channels. In some Refs.…”

Section: Theoretical Modelmentioning

confidence: 99%

Collapses and revivals of exciton emission in a semiconductor microcavity: Detuning and phase-space filling effects

Jin

Liu

2004

Phys. Rev. A

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We investigate exciton emission of quantum well embedded in a semiconductor microcavity. The analytical expressions of the light intensity for the cases of excitonic number state and coherent state are presented by using secular approximation. Our results show that the effective exciton-exciton interaction leads to the appearance of collapse and revival of the light intensity. The revival time is twice compared the coherent state case with that of the number state. The dissipation of the exciton-polariton lowers the revival amplitude but does not alter the revival time. The influences of the detuning and the phase-space filling are studied. We find that the effect of the higher-order exciton-photon interaction may be removed by adjusting the detuning.

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Collapse and revival phenomenon in the evolution of a resonant field in a Kerr-like medium

Cited by 139 publications

References 20 publications

Wave packet dynamics of entangled two-mode states

Wave packet dynamics of entangled two-mode states

Quasiprobability distributions for the cavity-damped Jaynes-Cummings model with an additional Kerr medium

Collapses and revivals of exciton emission in a semiconductor microcavity: Detuning and phase-space filling effects

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