Integrable two-channel p_x+ip_y-wave superfluid model

Abstract

We present a new two-channel integrable model describing a system of spinless fermions interacting through a p-wave Feshbach resonance. Unlike the BCS-BEC crossover of the s-wave case, the p-wave model has a third order quantum phase transition. The critical point coincides with the deconfinement of a single molecule within a BEC of bound dipolar molecules. The exact many-body wavefunction provides a unique perspective of the quantum critical region suggesting that the size of the condensate wavefunction, that diverges logarithmically with the chemical potential, could be used as an experimental indicator of the phase transition.

4 pages, 4 figures

References in corpus (8)

• Non-Abelian Anyons and Topological Quantum Computation
• Resonantly-paired fermionic superfluids
• Stable Topological Superfluid Phase of Ultracold Polar Fermionic Molecules
• p-wave Feshbach molecules
• Quantum fidelity in the thermodynamic limit
• Quantum phase diagram of the integrable p_x+ip_y fermionic superfluid
• Stability of the fermionic gases close to a p-wave Feshbach resonance
• BEC-BCS crossover in a p+ip-wave pairing Hamiltonian coupled to bosonic molecular pairs

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• Many-body dynamics of p-wave Feshbach molecule production: a mean-field approach
• Integrable model of a $p$-wave bosonic superfluid