Self-bound many-body states of quasi-one-dimensional dipolar Fermi gases: Exploiting Bose-Fermi mappings for generalized contact interactions

Abstract

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 Fermi gas with a generalized contact interaction. Using an exact duality between one-dimensional 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 ultracold polar molecules.

References in corpus (6)

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• Reactions of ultracold alkali metal dimers
• Ultracold Fermionic Feshbach Molecules of ${}^{23}$Na${}^{40}$K
• Dipolar gases in quasi one-dimensional geometries
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Cited by in corpus (9)

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• Self trapping of a dipolar Bose-Einstein condensate in a double well
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• Quasi-One-Dimensional Dipolar Quantum Gases
• Dipoles on a Two-leg Ladder
• Quantum entanglement of two harmonically trapped dipolar particles
• Addressing energy density functionals in the language of path-integrals II: Comparative study of functional renormalization group techniques applied to the (0+0)-D $O(N)$-symmetric ${\phi }^4$-theory
• Thermal liquid-gas phase transition in a quasi-one-dimensional dipolar Fermi gas