Abstract
We systematically investigate the topological superfluidity of a Rydberg-dressed Fermi gas, where the soft-core effective interaction is of finite radius Rc due to the blockade effect. We calculate the quantum phase diagram within the mean-field approximation and find three distinct phases: polar (pz), axial (px+ipy), and axiplanar (px+iβppy) phases. The tricritical point is around RckF∼1, where kF 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 0.1EF in the current experimental regime of Li6. Our work paves the way for future studies on exotic topological superfluids and related quantum phase transitions. © 2014 American Physical Society.