Luttinger liquid of trimers in Fermi gases with unequal masses

Details Luttinger liquid of trimers in Fermi gases with unequal masses Luttinger liquid of trimers in Fermi gases with unequal masses

2009-07-09

arxiv.org/abs/0907.1533v2

Phys. Rev. Lett. 104, 065301 (2010)

Physics

Condensed Matter

Quantum Gases

4 pages, 4 figures. Final accepted version

Scientific paper

We investigate one dimensional attractive Fermi gases in spin-dependent optical lattices. We show that three-body bound states - "trimers" - exist as soon as the two tunneling rates are different. We calculate the binding energy and the effective mass of a single trimer. We then show numerically that for finite and commensurate densities $n_\uparrow=n_\downarrow/2$ an energy gap appears, implying that the gas is a one-component Luttinger liquid of trimers with suppressed superfluid ordering. The boundaries of this novel phase are given. We discuss experimental situations to test our predictions.

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