Phys. Rev. Lett. 93, 090405 (2004) [4 pages]Dilute Fermi Gas in Quasi-One-Dimensional Traps: From Weakly Interacting Fermions via Hard Core Bosons to a Weakly Interacting Bose GasReceived 10 February 2004; published 25 August 2004 We study equilibrium properties of a cold two-component Fermi gas confined in a quasi-one-dimensional trap of the transverse size l⊥. In the dilute limit (nl⊥≪1, where n is the 1D density) the problem is exactly solvable for an arbitrary 3D fermionic scattering length aF. When l⊥/aF goes from -∞ to +∞, 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⊥2. In conclusion, we discuss experimental implications of these results. © 2004 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.93.090405
DOI:
10.1103/PhysRevLett.93.090405
PACS:
03.75.Ss, 03.75.Hh, 05.30.Jp
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