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Correlation studies in a spin imbalanced fermionic superfluid in presence of a harmonic trap

2010/07/31 by Poulumi Dey, Dey, Poulumi, Saurabh Basu +3
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Other Condensed Matter (cond-mat.other) #Physics of Superconductivity and Magnetism #Quantum, superfluid, helium dynamics #Superconductivity (cond-mat.supr-con) #cond-mat.other #cond-mat.supr-con

paper · pdf · doi:10.48550/arxiv.1008.0084

9 pages, 9 figures, 1 table

arxiv created 2010/07/31 · openalex publication_date 2010/07/31 · arxiv updated 2010/08/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We investigate different physical properties of a spin imbalanced fermionic superfluid described by an attractive Hubbard model in presence of a harmonic trap. To characterize the ground state of such a system, we compute various correlation functions, such as pairing, density and current correlations To underscore the effect of the trap, we compute these quantities as a function of strength of the trapping potential. A distinguishing feature of a superfluid state with population imbalance, is the appearance of a phase with spatially modulating gap function, called the Fulde- Ferrell-Larkin-Ovchinnikov (FFLO) phase which is present for both with and without trap. Trapping effects induce lowering of particle density and yields an empty system in the limit of large trapping depths.

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