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• W1986593721 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, $kappa $, exceeds a critical value, $ kappa _{mathrm{cr}}$. The effect is predicted in a variational approximation, and confirmed by numerical solutions. Unlike the recently studied model of a binary BEC with the linear coupling, the components in the immiscible phase of the binary fermion mixture never fill two separated domains with a wall between them, but rather form anti-locked ($pi $ -phase-shifted) density waves. Another difference from the bosonic mixture is spontaneous breaking of symmetry between the two components in terms of numbers of atoms in them, $N_{1}$ and $N_{2}$. The latter effect is characterized by the parameter $nu equiv (N_{1}-N_{2})/(N_{1}+N_{2}) $ (only $N_{1}+N_{2}$ is a conserved quantity), the onset of miscibility at $kappa geq kappa_{mathrm{cr}}$ meaning a transition to $nu equiv 0$. At $kappa <kappa_{mathrm{cr}}$, $nu $ features damped oscillations as a function of $kappa $. We also briefly consider an asymmetric model, with a chemical-potential difference between the two components." @default.
• W1986593721 created "2016-06-24" @default.
• W1986593721 creator A5071615077 @default.
• W1986593721 creator A5090892882 @default.
• W1986593721 date "2006-11-22" @default.
• W1986593721 modified "2023-10-02" @default.
• W1986593721 title "Miscibility in a degenerate fermionic mixture induced by linear coupling" @default.
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• W1986593721 doi "https://doi.org/10.1103/physreva.74.053620" @default.
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