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Path Integral Treatment of Fluctuations in the BCS-BEC Crossover in Superfluid Fermi Gases

2005/04/23 by H. Vivas, Vivas, H.
Physics and Astronomy · #Atomic and Subatomic Physics Research #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Quantum, superfluid, helium dynamics #Strongly Correlated Electrons (cond-mat.str-el) #Superconductivity (cond-mat.supr-con) #cond-mat.str-el #cond-mat.supr-con

paper · pdf · doi:10.48550/arxiv.cond-mat/0504600

28 pages, 1 figure. Typos corrected. Final expression in appendix B fully explained

openalex publication_date 2005/04/23 · arxiv created 2011/06/30 · arxiv updated 2011/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

By using a Path Integral formalism, we study the fluctuating fields in the order parameter for a 3D uniform Fermi gas at T<Tc. The BCS-BEC crossover condition is included into the analysis in the framework of the usual s-wave scattering approximation. The general expressions for the temperature dependence of the partition function and the quadratic average in the fluctuations fields are explicitly established in terms of the BCS-Gor'kov correlation propagators.

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