Dilute Fermi Gas in Quasi-One-Dimensional Traps: From Weakly Interacting Fermions via Hard Core Bosons to a Weakly Interacting Bose Gas

Physical Review Letters 93, 90405 (2004)

Dilute Fermi Gas in Quasi-One-Dimensional Traps: From Weakly Interacting Fermions via Hard Core Bosons to a Weakly Interacting Bose Gas

I. V. Tokatly

We study equilibrium properties of a cold two-component Fermi gas confined in a quasi-one-dimensional trap of the transverse size l[perpendicular]. In the dilute limit (nl[perpendicular]<<1, where n is the 1D density) the problem is exactly solvable for an arbitrary 3D fermionic scattering length aF. When l[perpendicular]/aF goes from –[infinity] to +[infinity], the system successively passes three regimes: weakly interacting Fermi gas, hard core Bose gas, and weakly coupled Bose gas. The regimes are separated by two crossovers at aF~±nl[perpendicular]2. In conclusion, we discuss experimental implications of these results.

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http://dx.doi.org/10.1103/PhysRevLett.93.090405

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