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arXiv:quant-ph/0105092

Role of degenerate atomic levels in the entanglement and the decoherence

Ling Zhou, He‐Shan Song, Yu Luo

Published May 19, 2001• 0 citations
arXivHTMLPDF

Abstract

We studied the dispersive dissipation of denegerate-level atom interacting with a single linearly-polarized mode field. It is found that the degeneracy of the atomic level affects the dissipation bahavior of the system as well as the subsystems. The degeneracy of the atomic level augment the periods of entanglement and increase the degree of the maxima statistical mixture states.

DOI
10.48550/arxiv.quant-ph/0105092

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We studied the dispersive dissipation of denegerate-level atom interacting with a single linearly-polarized mode field. It is found that the degeneracy of the atomic level affects the dissipation bahavior of the system as well as the subsystems. The degeneracy of the atomic level augment the periods of entanglement and increase the degree of the maxima statistical mixture states.
The dissipation of the field in the two-photonJaynes-Cummings model (JCM) with degenerate atomic levels was studied.The initial degenerate atomic state affects the field coherence loss,when the degenerate atom is initially in an equal probability superposition state,the field coherence loss is smallest,It is found that the degeneracy of the atomic level increases the period of entanglement between the atom and the field.When the degeneracy was considered,the coherence properties of the field could be affected by the reservoir qualitatively,if a nonlinear two-photon process is involved.This is different from the dissipation of one-photon JCM with degenerate atomic levels.
The dissipation of the field in the two-photon Jaynes-Cummings model (JCM) with degenerate atomic levels was studied. The initial degenerate atomic state affects the field coherence loss. When the degenerate atom is initially in an equal probability superposition state, the field coherence loss is smallest. It is found that the degeneracy of the atomic level increases the period of entanglement between the atom and the field. When the degeneracy was considered, the coherence properties of the field could be affected by the reservoir qualitatively, if a nonlinear two-photon process is involved. This is different from the dissipation of one-photon JCM with degenerate atomic levels.
Some investigations have been made on the evolution of the linear entropies of atom-field system, in which two identical two-level atoms simultaneously interact with a single-mode dissipative cavity field under large detuning. The effects of the initial atom states and the dissipative factors of the cavity on all linear entropies are also discussed. The results show that the influence of the cavity decay constant on different kinds of Bell states is completely different, and the state |Ψ〉12 is a robust entangled state against the decoherence while the state |Φ〉12 is a fragile entangled state.
In this paper, we investigate the entanglement dynamics of two entangled two-level atoms interacting with a single-mode field in a dissipative cavity. The results show that the evolution properties of the entanglement degree of two entangled atoms depend on the initial atomic entanglement degree and form, the average photon number of the cavity field, and the cavity leakage rate. When the atoms are initially in a particular entangled state, the degree of entanglement can be amplified and not influenced by the dissipation of the cavity field.