F. Deuretzbacher, G. M. Bruun, C. J. Pethick, M. Jona-Lasinio, S. M. Reimann, L. Santos
Using a combination of results from exact mappings and from mean field theory we explore the phase diagram of quasi-one-dimensional systems of identical fermions with attractive dipolar interactions. We demonstrate that at low density these systems provide a realization of a single-component one-dimensional (1D) Fermi gas with a generalized contact interaction. Using an exact duality between 1D Fermi and Bose gases, we show that when the dipole moment is strong enough, bound many-body states exist and we calculate the critical coupling strength for the emergence of these states. At higher densities, the Hartree-Fock approximation is accurate, and by combining the two approaches we determine the structure of the phase diagram. The many-body bound states should be accessible in future experiments with ultra-cold polar molecules.
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http://arxiv.org/abs/1306.0405
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