Pairing, off-diagonal long-range order, and quantum phase transition in strongly attracting ultracold bose gas mixtures in tight waveguides.
A model of two 1D ideal Bose gases A and B with strong odd-wave 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 repulsions 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.
Girardeau
M D
MD
College of Optical Sciences, University of Arizona, Tucson, Arizona 85721, USA. girardeau@optics.arizona.edu