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

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...

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Main Author: Eugene Bashkirov
Format: Article
Language:English
Published: Samara National Research University 2020-04-01
Series:Компьютерная оптика
Subjects:
Online Access:http://computeroptics.smr.ru/KO/PDF/KO44-2/440203.pdf
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author Eugene Bashkirov
author_facet Eugene Bashkirov
author_sort Eugene Bashkirov
collection DOAJ
description 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.
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spelling doaj.art-d87f2374876c4d6796e70e444176eabe2022-12-22T01:41:46ZengSamara National Research UniversityКомпьютерная оптика0134-24522412-61792020-04-0144216717610.18287/2412-6179-CO-595Dynamics of entanglement of atoms with two-photon transitions induced by a thermal fieldEugene Bashkirov0Samara National Research University, 443086, Samara, Russia, Moskovskoye Shosse 34In 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.http://computeroptics.smr.ru/KO/PDF/KO44-2/440203.pdftwo-level atomstwo-photon interactionthermal fieldentanglement
spellingShingle Eugene Bashkirov
Dynamics of entanglement of atoms with two-photon transitions induced by a thermal field
Компьютерная оптика
two-level atoms
two-photon interaction
thermal field
entanglement
title Dynamics of entanglement of atoms with two-photon transitions induced by a thermal field
title_full Dynamics of entanglement of atoms with two-photon transitions induced by a thermal field
title_fullStr Dynamics of entanglement of atoms with two-photon transitions induced by a thermal field
title_full_unstemmed Dynamics of entanglement of atoms with two-photon transitions induced by a thermal field
title_short Dynamics of entanglement of atoms with two-photon transitions induced by a thermal field
title_sort dynamics of entanglement of atoms with two photon transitions induced by a thermal field
topic two-level atoms
two-photon interaction
thermal field
entanglement
url http://computeroptics.smr.ru/KO/PDF/KO44-2/440203.pdf
work_keys_str_mv AT eugenebashkirov dynamicsofentanglementofatomswithtwophotontransitionsinducedbyathermalfield