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Random Matrix Theory Analysis of a Temperature-Related Transformation in Statistics of Fano–Feshbach Resonances in Thulium Atoms

Recently, the transformation from random to chaotic behavior in the statistics of Fano–Feshbach resonances was observed in thulium atoms with rising ensemble temperature. We performed random matrix theory simulations of such spectra and analyzed the resulting statistics in an attempt to understand t...

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Autores principales: Davletov, Emil T., Tsyganok, Vladislav V., Khlebnikov, Vladimir A., Pershin, Daniil A., Akimov, Alexey V.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2020
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7763200/
https://www.ncbi.nlm.nih.gov/pubmed/33321801
http://dx.doi.org/10.3390/e22121394
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author Davletov, Emil T.
Tsyganok, Vladislav V.
Khlebnikov, Vladimir A.
Pershin, Daniil A.
Akimov, Alexey V.
author_facet Davletov, Emil T.
Tsyganok, Vladislav V.
Khlebnikov, Vladimir A.
Pershin, Daniil A.
Akimov, Alexey V.
author_sort Davletov, Emil T.
collection PubMed
description Recently, the transformation from random to chaotic behavior in the statistics of Fano–Feshbach resonances was observed in thulium atoms with rising ensemble temperature. We performed random matrix theory simulations of such spectra and analyzed the resulting statistics in an attempt to understand the mechanism of the transformation. Our simulations show that, when evaluated in terms of the Brody parameter, resonance statistics do not change or change insignificantly when higher temperature resonances are appended to the statistics. In the experiments evaluated, temperature was changed simultaneously with optical dipole trap depth. Thus, simulations included the Stark shift based on the known polarizability of the free atoms and assuming their polarizability remains the same in the bound state. Somewhat surprisingly, we found that, while including the Stark shift does lead to minor statistical changes, it does not change the resonance statistics and, therefore, is not responsible for the experimentally observed statistic transformation. This observation suggests that either our assumption regarding the polarizability of Feshbach molecules is poor or that an additional mechanism changes the statistics and leads to more chaotic statistical behavior.
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spelling pubmed-77632002021-02-24 Random Matrix Theory Analysis of a Temperature-Related Transformation in Statistics of Fano–Feshbach Resonances in Thulium Atoms Davletov, Emil T. Tsyganok, Vladislav V. Khlebnikov, Vladimir A. Pershin, Daniil A. Akimov, Alexey V. Entropy (Basel) Article Recently, the transformation from random to chaotic behavior in the statistics of Fano–Feshbach resonances was observed in thulium atoms with rising ensemble temperature. We performed random matrix theory simulations of such spectra and analyzed the resulting statistics in an attempt to understand the mechanism of the transformation. Our simulations show that, when evaluated in terms of the Brody parameter, resonance statistics do not change or change insignificantly when higher temperature resonances are appended to the statistics. In the experiments evaluated, temperature was changed simultaneously with optical dipole trap depth. Thus, simulations included the Stark shift based on the known polarizability of the free atoms and assuming their polarizability remains the same in the bound state. Somewhat surprisingly, we found that, while including the Stark shift does lead to minor statistical changes, it does not change the resonance statistics and, therefore, is not responsible for the experimentally observed statistic transformation. This observation suggests that either our assumption regarding the polarizability of Feshbach molecules is poor or that an additional mechanism changes the statistics and leads to more chaotic statistical behavior. MDPI 2020-12-10 /pmc/articles/PMC7763200/ /pubmed/33321801 http://dx.doi.org/10.3390/e22121394 Text en © 2020 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Davletov, Emil T.
Tsyganok, Vladislav V.
Khlebnikov, Vladimir A.
Pershin, Daniil A.
Akimov, Alexey V.
Random Matrix Theory Analysis of a Temperature-Related Transformation in Statistics of Fano–Feshbach Resonances in Thulium Atoms
title Random Matrix Theory Analysis of a Temperature-Related Transformation in Statistics of Fano–Feshbach Resonances in Thulium Atoms
title_full Random Matrix Theory Analysis of a Temperature-Related Transformation in Statistics of Fano–Feshbach Resonances in Thulium Atoms
title_fullStr Random Matrix Theory Analysis of a Temperature-Related Transformation in Statistics of Fano–Feshbach Resonances in Thulium Atoms
title_full_unstemmed Random Matrix Theory Analysis of a Temperature-Related Transformation in Statistics of Fano–Feshbach Resonances in Thulium Atoms
title_short Random Matrix Theory Analysis of a Temperature-Related Transformation in Statistics of Fano–Feshbach Resonances in Thulium Atoms
title_sort random matrix theory analysis of a temperature-related transformation in statistics of fano–feshbach resonances in thulium atoms
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7763200/
https://www.ncbi.nlm.nih.gov/pubmed/33321801
http://dx.doi.org/10.3390/e22121394
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