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Chinese Physics B

Entanglement transfer via the Raman atom-cavity-field interaction

Mai-Lin Liang, Yuan Bing

Published Sep 1, 2010• 1 citation

Abstract

For the Raman interaction between an atom and a two-mode cavity field prepared in the state |01> or |10>, the atom and the field can be disentangled periodically. Such a property of Raman atom-field interaction allows the full entanglement transfer among many atoms and bimodal cavities. In the calculations, each atom is assumed to interact with its own cavity at a different time and so non-identical atoms can be treated conveniently. Entanglement sudden death is discussed too. Though atom-field interaction greatly changes the values of the concurrence for two atoms, configuration of the concurrence is almost not affected. When there is entanglement sudden death, atoms and cavities can still be entangled with one another. However, full entanglement transfer cannot be achieved for such systems with Raman atom-field interaction.

DOI: 10.1088/1674-1056/19/9/094206

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For the Raman interaction between an atom and a two-mode cavity field prepared in the state |01> or |10>, the atom and the field can be disentangled periodically. Such a property of Raman atom-field interaction allows the full entanglement transfer among many atoms and bimodal cavities. In the calculations, each atom is assumed to interact with its own cavity at a different time and so non-identical atoms can be treated conveniently. Entanglement sudden death is discussed too. Though atom-field interaction greatly changes the values of the concurrence for two atoms, configuration of the concurrence is almost not affected. When there is entanglement sudden death, atoms and cavities can still be entangled with one another. However, full entanglement transfer cannot be achieved for such systems with Raman atom-field interaction.

We investigate the entanglement dynamics of an entangled atom pair via Wootters' concurrence. Only one atom of the pair interacts with a two-mode cavity field via a Raman interaction. The number simulation shows that the entanglement of the atom pair will display sudden death and revival phenomena when the cavity photon numbers and the two-mode atom–cavity coupling strengths are changed. Due to the two-mode field effect, the entanglement sudden death phenomenon will disappear more easily by enlarging the different cavity mode–atom coupling ratio. The oscillation rate of the concurrence is enlarged by increasing the mean photon number of the cavity field.

An exact solution of the problem of two two-level atoms with degenerate Raman two-photon transitions interacting with one-mode coherent or thermal radiation field in cavity is presented. Asymptotic solution for system state vector is obtained in the approximation of large initial coherent fields. The atom-field 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 is shown. Conditions and times of disentanglement are derived. The atom-atom entanglement is investigated with using negativity. The possibility of sudden death and birth of atom-atom entanglement is predicted for a coherent field with large mean photon numbers.

The entanglement dynamics of two atoms initially in an entangled state system interacting with a bimodal field is investigated by making use of the concurrence and linear entropy.The effect of the initial entanglement degree of two atoms and the cavity field on the time evolution of concurrence is analyzed.The results show that the phenomenon of sudden death of the entanglement between two atoms occurs.The length of the death time interval is independent of the initial entanglement degree of two atoms.However,the death time depends on the initial entanglement degree of the cavity field.The atom and the field are entangled during all the evolution process.

The entanglement dynamics of system, where atoms A and B interact with single mode cavity fields a and b respectively, is studied. The interaction between atom A and cavity a may be described by using the typical Jaynes–Cummings model, while that between the atom B and cavity b filled with a Kerr medium is of a two-photon process. For a certain initial atom entanglement state, there is an entanglement sudden death effect between the two atoms. The Kerr medium in the cavity b can effectively prevent the undesirable entanglement sudden death from occurring. Also, from the viewpoint of the population dynamics, we discuss why the Kerr medium can do so.

For the interaction of two entangled atoms with the two-mode squeezed light field,the entanglements between the atom with the light field and that between the two-modes of the light field are studied.Setting that one atom is outside the cavity and the other atom enters the cavity to interact with the light field,generally the entanglement changes periodically and the period is not affected by the rotation angle of the outside atom and the phase difference in the atomic entangled state.But,if the squeezing parameter of the light field and the rotation angle of the atom outside the cavity satisfy a certain relation,atom and the light field will be disentangled forever.