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Pairing and molecule formation along the BEC-BCS crossover for finite\n range potentials

2019/03/29 by Eleazar Neri, Neri, Eleazar, Santiago F. Caballero-Benítez +5
Physics and Astronomy · #Advanced Chemical Physics Studies #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Physics of Superconductivity and Magnetism #Quantum Gases (cond-mat.quant-gas) #Quantum and electron transport phenomena #Spectroscopy and Quantum Chemical Studies

paper · pdf · doi:10.48550/arxiv.1904.00135

openalex publication_date 2019/03/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We analyze the BCS-BEC crossover transition of a balanced two component\nmixture of fermions interacting via a finite range potential, within a mean\nfield approach. For the analysis we consider three finite range potentials\ncases describing the interaction between different Fermi species: a square\nwell, an exponential and a Yukawa potential. The T = 0 thermodynamics analysis\nalong the BCS-BEC crossover allow us to recognize the proper variables, for\nfinite range interactions, that capture the transition from a thermodynamic\nnon-universal behavior at unitarity, to its universal restoration. On the other\nside, the determination of the pair functions along the crossover suggests that\nthe smooth transition occurs always between the scattering resonance and the\nchange of sign of the chemical potential. This identification follows directly\nfrom the pair wave functions behavior, which in the BCS and BEC sides become\nexponentially localized and oscillatory slowly decaying respectively.\n

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