TY - JOUR

T1 - Miscibility in a degenerate fermionic mixture induced by linear coupling

AU - Adhikari, Sadhan K.

AU - Malomed, Boris A.

PY - 2006

Y1 - 2006

N2 - 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, Î°cr. 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 Îâ‰¡ (N1 â N2) â• (N1 + N2) (only N1 + N2 is a conserved quantity), the onset of miscibility at Î°â

AB - 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, Î°cr. 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 Îâ‰¡ (N1 â N2) â• (N1 + N2) (only N1 + N2 is a conserved quantity), the onset of miscibility at Î°â

UR - http://www.scopus.com/inward/record.url?scp=33751289920&partnerID=8YFLogxK

U2 - 10.1103/PhysRevA.74.053620

DO - 10.1103/PhysRevA.74.053620

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AN - SCOPUS:33751289920

SN - 1050-2947

VL - 74

JO - Physical Review A - Atomic, Molecular, and Optical Physics

JF - Physical Review A - Atomic, Molecular, and Optical Physics

IS - 5

M1 - 053620

ER -