Analytic self-consistent condensates in quasi-1D superfluid fermi gases in the andreev approximation

Giacomo Marmorini, Ryosuke Yoshii, Shunji Tsuchiya, Muneto Nitta

Research output: Contribution to journalArticle


We present an analytic method to approach Eilenberger equation and the associated Bogoliubov-de Gennes equation for quasi-1D fermionic gases. The problem of finding self-consistent inhomogeneous condensates is reduced to solving a certain class of nonlinear Schrödinger equations, whose most general solitonic solution is indeed available. Previously known solutions can be retrieved by taking appropriate limits in the parameters. The applicability of the method extends to systems with population imbalance and subject to external potential. In particular we show that fermionic zero-modes are robust against population imbalance.

Original languageEnglish
Pages (from-to)420-426
Number of pages7
JournalJournal of Low Temperature Physics
Issue number1-2
Publication statusPublished - 2014



  • Analytic solution
  • BdG equation
  • Soliton
  • Superfluidity

ASJC Scopus subject areas

  • Condensed Matter Physics
  • Atomic and Molecular Physics, and Optics
  • Materials Science(all)

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