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Journal of Optics B Quantum and Semiclassical Optics

Entanglement induced by a single-mode thermal field and the criteria for entanglement

Ling Zhou, H. S. Song, C Li

Published Oct 31, 2002• 97 citations
Publisher

Abstract

We study the entanglement between two two-level atoms simultaneously interacting with a single-mode thermal field through a two-photon process. When the two atoms are initially in different states they can be entangled through interaction with the thermal field, and the entanglement induced by nonlinear interaction is larger than that induced by linear interaction. On the basis of our results we review two entanglement criteria.

DOI
10.1088/1464-4266/4/6/310

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We study the entanglement between two two-level atoms simultaneously interacting with a single-mode thermal field through a two-photon process. When the two atoms are initially in different states they can be entangled through interaction with the thermal field, and the entanglement induced by nonlinear interaction is larger than that induced by linear interaction. On the basis of our results we review two entanglement criteria.
We study the system that two atoms simultaneously interact with a single-mode thermal field via different couplings and different spontaneous emission rates when two-photon process is involved. It is found that we indeed can employ the different couplings to produce the atom-atom thermal entanglement in two-photon process. The different atomic spontaneous emission rates are also utilizable in generating thermal entanglement. We also investigate the effect of the cavity leakage. To the initial atomic state ∣ee>,|ee> ,∣ee>,a slight leakage can relieve the restriction of interaction time and we can obtain a large and steady entanglement.
Considering two identical two-level atoms interacting with two mode thermal field through a nondegerate two-photon process, we study the entanglement dynamics between two atoms when the atomic coherence exists. It shows that the entanglement is dependent on the initial atomic states, and is greatly enhanced due to atomic coherence as compared with the case when the atomic coherence is ignored. The results also show that the entanglement can be controlled by changing the relative phases and the amplitudes of the polarized atoms.
We study that two atoms simultaneously interact with a single mode thermal field via different couplings and different spontaneous emission rates when two-photon process is involved. It is found that we indeed can employ the different couplings to produce the two-atom thermal entanglement in two-photon process. The different atomic spontaneous emission rates are also utilizable in generating thermal entanglement. We also investigate the effect of the cavity leakage. To the initial atomic state , a slight leakage can relieve the restriction of interaction time so that we can obtain a strong and steady entanglement.
In this paper, we investigate the entanglement between two two-level atoms non-resonantly in-teracting with a thermal field of a lossless one-mode resonator via degenerate two-photon transi-tions. On the basis of the exact solution of the time-dependent density matrix we calculate the negativity as a measure of atomic entanglement. We show that for separable initial atomic states a slight atom-field detuning may generate the high amount of atom-atom entanglement. The re-sults also show that for non-resonant atom-field interaction the entanglement induced by nonlin-ear two-photon interaction is smaller than that induced by one-photon interaction in contrast to the resonant interaction situation. For a Bell-type entangled initial atomic state we obtain that if the detuning increases, there is an appreciable decrease in the amplitudes of the negativity oscilla-tions. The results also show that elimination of the sudden death of entanglement for non-resonant two-photon atom-field interaction may take place.