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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Format: | Article |
Language: | English |
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Samara National Research University
2020-04-01
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Series: | Компьютерная оптика |
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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. |
first_indexed | 2024-12-10T16:23:14Z |
format | Article |
id | doaj.art-d87f2374876c4d6796e70e444176eabe |
institution | Directory Open Access Journal |
issn | 0134-2452 2412-6179 |
language | English |
last_indexed | 2024-12-10T16:23:14Z |
publishDate | 2020-04-01 |
publisher | Samara National Research University |
record_format | Article |
series | Компьютерная оптика |
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 |