Finite-momentum superfluidity and phase transitions in a<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>p</mml:mi></mml:math>-wave resonant Bose gas

Abstract

We study a degenerate two-species gas of bosonic atoms interacting through a $p$-wave Feshbach resonance as, for example, realized in a ${}^{85}$Rb-${}^{87}$Rb mixture. We show that, in addition to a conventional atomic and a $p$-wave molecular spinor-1 superfluidity at large positive and negative detunings, respectively, the system generically exhibits a finite-momentum atomic-molecular superfluidity at intermediate detuning around the unitary point. We analyze the detailed nature of the corresponding phases and the associated quantum and thermal phase transitions.