Universal correlations along the BEC-BCS crossover
Universality of the long-distance behavior across the Bardeen–Cooper–Schrieffer (BEC)-Bose–Einstein condensate (BCS) smooth transition for two-body density correlation functions and the Cooper-pair probability density is demonstrated in a balanced mixture of a two-component Fermi gas at T = 0. It i...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2023-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ad0854 |
| _version_ | 1797627651110731776 |
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| author | J C Obeso-Jureidini G A Domínguez-Castro E Neri R Paredes V Romero-Rochín |
| author_facet | J C Obeso-Jureidini G A Domínguez-Castro E Neri R Paredes V Romero-Rochín |
| author_sort | J C Obeso-Jureidini |
| collection | DOAJ |
| description | Universality of the long-distance behavior across the Bardeen–Cooper–Schrieffer (BEC)-Bose–Einstein condensate (BCS) smooth transition for two-body density correlation functions and the Cooper-pair probability density is demonstrated in a balanced mixture of a two-component Fermi gas at T = 0. It is numerically shown at the mean-field level that these two-body quantities exhibit an exponential decay in terms of the chemical potential and the low-energy behavior of the gap. A general expression is found for the two-body distributions holding for different features of finite-range potentials, such as divergences at the origin, discontinuities at a finite radius, power-law decay, and exponential decay. The correlation length characterizing the long-distance behavior unravels the dependence on the energy needed to break pairs along the BEC-BCS crossover, a quantity meaningful to the stability of the many-body state. |
| first_indexed | 2024-03-11T10:27:23Z |
| format | Article |
| id | doaj.art-27347448408f4b448c85877bbc366aa1 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-11T10:27:23Z |
| publishDate | 2023-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-27347448408f4b448c85877bbc366aa12023-11-15T10:42:46ZengIOP PublishingNew Journal of Physics1367-26302023-01-01251111301910.1088/1367-2630/ad0854Universal correlations along the BEC-BCS crossoverJ C Obeso-Jureidini0https://orcid.org/0000-0002-5473-7126G A Domínguez-Castro1https://orcid.org/0000-0002-7032-2465E Neri2R Paredes3https://orcid.org/0000-0001-8855-606XV Romero-Rochín4https://orcid.org/0000-0003-4987-1600Instituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20-364 , 01000 Ciudad de México, MexicoInstituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20-364 , 01000 Ciudad de México, MexicoInstituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20-364 , 01000 Ciudad de México, MexicoInstituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20-364 , 01000 Ciudad de México, MexicoInstituto de Física, Universidad Nacional Autónoma de México, Apartado Postal 20-364 , 01000 Ciudad de México, MexicoUniversality of the long-distance behavior across the Bardeen–Cooper–Schrieffer (BEC)-Bose–Einstein condensate (BCS) smooth transition for two-body density correlation functions and the Cooper-pair probability density is demonstrated in a balanced mixture of a two-component Fermi gas at T = 0. It is numerically shown at the mean-field level that these two-body quantities exhibit an exponential decay in terms of the chemical potential and the low-energy behavior of the gap. A general expression is found for the two-body distributions holding for different features of finite-range potentials, such as divergences at the origin, discontinuities at a finite radius, power-law decay, and exponential decay. The correlation length characterizing the long-distance behavior unravels the dependence on the energy needed to break pairs along the BEC-BCS crossover, a quantity meaningful to the stability of the many-body state.https://doi.org/10.1088/1367-2630/ad0854BEC-BCS crossovercorrelation functionssuperfluidsultracold quantum matter |
| spellingShingle | J C Obeso-Jureidini G A Domínguez-Castro E Neri R Paredes V Romero-Rochín Universal correlations along the BEC-BCS crossover New Journal of Physics BEC-BCS crossover correlation functions superfluids ultracold quantum matter |
| title | Universal correlations along the BEC-BCS crossover |
| title_full | Universal correlations along the BEC-BCS crossover |
| title_fullStr | Universal correlations along the BEC-BCS crossover |
| title_full_unstemmed | Universal correlations along the BEC-BCS crossover |
| title_short | Universal correlations along the BEC-BCS crossover |
| title_sort | universal correlations along the bec bcs crossover |
| topic | BEC-BCS crossover correlation functions superfluids ultracold quantum matter |
| url | https://doi.org/10.1088/1367-2630/ad0854 |
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