Determining the validity of solutions of the meanfield Bogoliubov-de Gennes equation

2011/04/11 by Brendan C. Mulkerin, Andrew Martin, Mulkerin, Brendan C. +2
Mathematics · Physics and Astronomy · #Differential Equations and Numerical Methods #FOS: Physical sciences #Quantum Gases (cond-mat.quant-gas) #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #cond-mat.quant-gas #quant-ph

paper · pdf · doi:10.48550/arxiv.1104.1846

5 pages, including 2 figures

openalex publication_date 2011/04/11 · arxiv created 2011/06/07 · arxiv updated 2011/06/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide a general methodology to directly determine the validity of the meanfield Bogoliubov-de Gennes equation. In particular we apply this methodology to the case of two component interacting ultracold Fermi gases. As an example, we consider the case of population imbalance, between the two components, in the strongly attractive interacting regime, where meanfield results predict Fulde-Ferrell-Larkin-Ovchinnikov (FFLO) states. For these states we find at finite temperatures that the assumptions used to derive the Bogoliubov-de Gennes equation are invalid.

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