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Trapped fermion mixtures with unequal masses: a Bogoliubov-de Gennes approach

2008/10/28 by M. Iskin, Iskin, M., Carl J. Williams +2
Physics and Astronomy · #Advanced Frequency and Time Standards #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Other Condensed Matter (cond-mat.other) #Quantum, superfluid, helium dynamics #Superconductivity (cond-mat.supr-con) #cond-mat.other #cond-mat.supr-con

paper · pdf · doi:10.48550/arxiv.0810.5065

4+ pages and 3 figures

arxiv created 2008/10/28 · openalex publication_date 2008/10/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We use the Bogoliubov-de Gennes formalism to analyze the ground state phases of harmonically trapped two-species fermion mixtures with unequal masses. In the weakly attracting limit and around unitarity, we find that the superfluid order parameter is spatially modulated around the trap center, and that its global maximum occurs at a finite distance away from the trap center where the mixture is locally unpolarized. As the attraction strength increases towards the molecular limit, the spatial modulations gradually disappear while the Bardeen-Cooper-Schrieffer (BCS) type nonmodulated superfluid region expands until the entire mixture becomes locally unpolarized.

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