P-wave Superfluidity by Blockade Effects in a Rydberg-Dressed Fermi Gas

Abstract

We systematically investigate the p-wave superfluidity of a Rydberg-dressed Fermi gas, where the soft-core effective interaction is of finite radius $R_c$ due to blockade effects. After solving the BCS gap equation and comparing the free energy, we obtain the quantum phase diagram, which is composed of three different phases: polar ($p_z$), axial ($p_x+i{p}_y$), and axi-planar ($p_x+i{\beta }_p{p}_y$) phases. The tri-critical point locates around $R_c{k}_F\sim 1$, where $k_F$ is the Fermi wave vector. We further derive the Ginzburg-Landau theory to explain the phase diagram, and estimate the transition temperature to be about 0.1$E_F$ in the current experimental regime of ${}^6$Li. Our work paves the way for future studies on p-wave superfluids and related quantum phase transitions in ultracold atoms.

6 pages plus 5 pages supplementary material, 5 figures; minor changes

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• $f$-wave superfluidity from repulsive interaction in Rydberg-dressed Fermi gas
• Phase-diagram and dynamics of Rydberg-dressed fermions in two-dimensions
• Rydberg-dressed Fermi liquid: correlations and signatures of droplet crystallization
• Two-dimensional Paired Topological Superfluids of Rydberg Fermi Gases
• Multipolar Fermi-surface deformation in a Rydberg-dressed Fermi gas with long-range anisotropic interactions
• Pairing from repulsion in a two-dimensional Fermi gas with soft-core interactions
• Rydberg dressed spin-1/2 Fermi gases in one dimension