Pairing, off-diagonal long-range order, and quantum phase transition in strongly attracting ultracold Bose gas mixtures in tight waveguides

Abstract

A model of two 1D ideal Bose gases A and B with strong AB attractions induced by a p-wave AB Feshbach resonance is studied. The model is solved exactly by a Bose-Bose duality mapping, and it is shown that there is no A-component or B-component Bose-Einstein condensation and no AB-pair off-diagonal long-range order (ODLRO), but both AA-pair and BB-pair ODLRO. After generalization by adding even-wave AA and BB repulsion and reducing the strength of the odd-wave AB attraction by Feshbach resonance detuning, a quantum phase transition occurs between a phase with AB contact nodes and one with no such nodes.

4 pages, no figures, revtex4. Submitted to PRL

References in corpus (10)

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• Tuning the interactions of spin-polarized fermions using quasi-one-dimensional confinement
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• Theory of spinor Fermi and Bose gases in tight atom waveguides
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• Exponentially decaying correlations in a gas of strongly interacting spin-polarized 1D fermions with zero-range interactions
• Ground and excited states of spinor Fermi gases in tight waveguides and the Lieb-Liniger-Heisenberg model
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• Bright and dark solitary waves in a one-dimensional spin-polarized gas of fermionic atoms with p-wave interactions in a hard-wall trap

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• Solvable Model of a Generic Trapped Mixture of Interacting Bosons: Reduced Density Matrices and Proof of Bose-Einstein Condensation
• Ground state of a mixture of two bosonic Calogero-Sutherland gases with strong odd-wave interspecies attraction
• Solvable model of a generic driven mixture of trapped Bose-Einstein condensates and properties of a many-boson Floquet state at the limit of an infinite number of particles
• Coupled-cluster theory for trapped bosonic mixtures
• Fragmentation of a trapped multiple-species bosonic mixture
• Fragmentation of identical and distinguishable bosons' pairs and natural geminals of a trapped bosonic mixture