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Acta Physica Sinica (Overseas Edition)

The disentangled-state in the two-photon Jaynes-Cumming model with a Kerr-like medium

Wei Wei, Guo Guang-Can

Published Oct 1, 1997• 0 citations
Publisher

Abstract

The pure-state dynamical evolution of the atomic as well as the field states in the two-photon Jaynes-Cumming model with a Kerr-like medium for the field initially in the coherent state is investigated under the high-field approximation ( ≫ 1). Analytic expressions of the disentanglement conditions and the relevant disentangled states are derived, which are closely related to Kerr nonlinear coupling constant. This study also reveals that the initial atomic excited state can be evolved into the atomic dipole squeezed state.

DOI
10.1088/1004-423x/6/10/004

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The pure-state dynamical evolution of the atomic as well as the field states in the two-photon Jaynes-Cumming model with a Kerr-like medium for the field initially in the coherent state is investigated under the high-field approximation ( ≫ 1). Analytic expressions of the disentanglement conditions and the relevant disentangled states are derived, which are closely related to Kerr nonlinear coupling constant. This study also reveals that the initial atomic excited state can be evolved into the atomic dipole squeezed state.
In this paper a two-photon Jaynes-Cummings model interacting with a Kerr-like medium is studied. It is assumed that the electromagnetic field is in different states such as coherent, squeezed vacuum and pair coherent, and that the atom is initially in the excited state. The temporal evolution of the population of the excited level, and the second-order coherence function are studied. The results obtained show that this system has some similarities with the two-mode Stark system. Two photon entanglement are analysed at different initial conditions.
In this paper a two-photon Jaynes-Cummings model interacting with a Kerr-like medium is studied. It is assumed that the electromagnetic field is in different states such as coherent, squeezed vacuum and pair coherent, and that the atom is initially in the excited state. The temporal evolution of the population of the excited level, and the second-order coherence function are studied. The results obtained show that this system has some similarities with the two-mode Stark system. Two photon entanglement are analysed at different initial conditions.
An exact solution of the problem of two-atom one- and two-mode Jaynes-Cummings model with intensity-dependent coupling is presented. Asymptotic solutions for system state vectors are obtained in the approximation of large initial coherent fields. The atom-field entanglement is investigated on the basis of the reduced atomic entropy dynamics. The possibility of the system being initially in a pure disentangled state to revive into this state during the evolution process for both models is shown. Conditions and times of disentanglement are derived.
The collapse-and-revival phenomenon in the population inversion and the time evolution of the quasiprobability Q function of an atom undergoing a two-photon process are investigated when the cavity is supposed to be filled with a Kerr-like medium. An exact expression for the atomic population inversion has been given for a field initially in the coherent state. The closed form of this expression as well as that of the Q function are obtained under the high-field approximation. Also, the tendency toward inhibited decay of the excited state has been explicitly shown. This study reveals how the simultaneous occurrence of two nonlinear processes affects the atomic dynamics.
Dynamics of entanglement due to intensity-dependent interaction between a two-level atom and a single-mode electromagnetic field in a Kerr medium is studied. The form of the interaction is such that the Hamiltonian evolution is exactly solvable. The Hamiltonian is shown to be a deformed Jaynes-Cummings model admitting a closed, symmetric algebra. Dynamics of population inversion and atom-field entanglement are studied taking the initial state of the field to be either a coherent state or a squeezed vacuum. Analysis is extended to the case of a two-mode cavity field interacting with a two-level atom. For the two-mode case, the initial field is a pair coherent state or a two-mode squeezed vacuum. Effects due to nonlinearity, intensity-dependent interaction and detuning on the dynamics are discussed and compared with those of the single-mode case.