Physics – Condensed Matter – Other Condensed Matter
Scientific paper
2004-02-10
Phys. Rev. Lett. 93, 090405 (2004)
Physics
Condensed Matter
Other Condensed Matter
RevTex4, 4 pages, 2 eps figures; revised version with new references and extended discussion of the physics of qusi-1D "BCS-BE
Scientific paper
10.1103/PhysRevLett.93.090405
We study equilibrium properties of a cold two-component Fermi gas confined in a quasi-one-dimensional trap of the transverse size $l_{\perp}$. In the dilute limit ($nl_{\perp}\ll 1$, where $n$ is the 1D density) the problem is exactly solvable for an arbitrary 3D fermionic scattering length $a_{F}$. When $l_{\perp}/a_{F}$ goes from $-\infty$ to $+\infty$, 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 $a_{F}\sim \pm nl_{\perp}^{2}$. In conclusion we discuss experimental implications of these results.
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