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Dynamics of entanglement of atoms with two-photon transitions induced by a thermal field

E.K. Bashkirov 1

1 Samara National Research University, 443086, Samara, Russia, Moskovskoye Shosse 34

 PDF, 1192 kB

DOI: 10.18287/2412-6179-CO-595

Pages: 167-176.

Full text of article: Russian language.

Abstract:
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.

Keywords:
two-level atoms, two-photon interaction, thermal field, entanglement, sudden death of entanglement.

Citation:
Bashkirov EK. Dynamics of entanglement of atoms with two-photon transitions induced by a thermal field. Computer Optics 2020; 44(2): 167-176. DOI: 10.18287/2412-6179-CO-595.

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