Miscibility in a degenerate fermionic mixture induced by linear coupling

Sadhan K. Adhikari*, Boris A. Malomed

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

We consider a one-dimensional mean-field-hydrodynamic model of a two-component degenerate Fermi gas in an external trap, each component representing a spin state of the same atom. We demonstrate that the interconversion between them (linear coupling), imposed by a resonant electromagnetic wave, transforms the immiscible binary gas into a miscible state, if the coupling constant, exceeds a critical value, ΰcr. The effect is predicted in a variational approximation, and confirmed by numerical solutions. Unlike the recently studied model of a binary Bose-Einsten condensate with the linear coupling, the components in the immiscible phase of the binary fermion mixture never fill two separated domains with a wall between them, but rather form antilocked (Ï€ -phase-shifted) density waves. Another difference from the bosonic mixture is spontaneous breaking of symmetry between the two components in terms of the numbers of atoms in them, N1 and N2. The latter effect is characterized by the parameter Î≡ (N1 â N2) â• (N1 + N2) (only N1 + N2 is a conserved quantity), the onset of miscibility at ΰâ

Original languageEnglish
Article number053620
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume74
Issue number5
DOIs
StatePublished - 2006

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