Universal correlations along the BEC-BCS crossover

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autoren

  • J. C. Obeso-Jureidini
  • G. A. Domínguez-Castro
  • E. Neri
  • R. Paredes
  • V. Romero-Rochín

Externe Organisationen

  • Universidad Nacional Autónoma de México (UNAM)
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Aufsatznummer113019
FachzeitschriftNew journal of physics
Jahrgang25
Ausgabenummer11
PublikationsstatusVeröffentlicht - 15 Nov. 2023
Extern publiziertJa

Abstract

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.

ASJC Scopus Sachgebiete

Zitieren

Universal correlations along the BEC-BCS crossover. / Obeso-Jureidini, J. C.; Domínguez-Castro, G. A.; Neri, E. et al.
in: New journal of physics, Jahrgang 25, Nr. 11, 113019, 15.11.2023.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Obeso-Jureidini, JC, Domínguez-Castro, GA, Neri, E, Paredes, R & Romero-Rochín, V 2023, 'Universal correlations along the BEC-BCS crossover', New journal of physics, Jg. 25, Nr. 11, 113019. https://doi.org/10.1088/1367-2630/ad0854
Obeso-Jureidini, J. C., Domínguez-Castro, G. A., Neri, E., Paredes, R., & Romero-Rochín, V. (2023). Universal correlations along the BEC-BCS crossover. New journal of physics, 25(11), Artikel 113019. https://doi.org/10.1088/1367-2630/ad0854
Obeso-Jureidini JC, Domínguez-Castro GA, Neri E, Paredes R, Romero-Rochín V. Universal correlations along the BEC-BCS crossover. New journal of physics. 2023 Nov 15;25(11):113019. doi: 10.1088/1367-2630/ad0854
Obeso-Jureidini, J. C. ; Domínguez-Castro, G. A. ; Neri, E. et al. / Universal correlations along the BEC-BCS crossover. in: New journal of physics. 2023 ; Jahrgang 25, Nr. 11.
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AU - Obeso-Jureidini, J. C.

AU - Domínguez-Castro, G. A.

AU - Neri, E.

AU - Paredes, R.

AU - Romero-Rochín, V.

PY - 2023/11/15

Y1 - 2023/11/15

N2 - 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.

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