Details
| Original language | English |
|---|---|
| Article number | 113019 |
| Journal | New journal of physics |
| Volume | 25 |
| Issue number | 11 |
| Publication status | Published - 15 Nov 2023 |
| Externally published | Yes |
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.
Keywords
- BEC-BCS crossover, correlation functions, superfluids, ultracold quantum matter
ASJC Scopus subject areas
- Physics and Astronomy(all)
- General Physics and Astronomy
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In: New journal of physics, Vol. 25, No. 11, 113019, 15.11.2023.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Universal correlations along the BEC-BCS crossover
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.
AB - 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.
KW - BEC-BCS crossover
KW - correlation functions
KW - superfluids
KW - ultracold quantum matter
UR - http://www.scopus.com/inward/record.url?scp=85183983145&partnerID=8YFLogxK
U2 - 10.1088/1367-2630/ad0854
DO - 10.1088/1367-2630/ad0854
M3 - Article
AN - SCOPUS:85183983145
VL - 25
JO - New journal of physics
JF - New journal of physics
SN - 1367-2630
IS - 11
M1 - 113019
ER -