2D Gapless Topological Superfluids Generated by Gauge Phases in a Rydberg Fermi Gas
jiapei zhuang1*, Ching-Yu Huang2, Po-Yao Chang1,5, Daw-Wei Wang1,3,4,5
1Physics Department, National Tsing Hua University, Hsinchu, Taiwan
2Physics Department, Tunghai University, Taichung, Taiwan
3Physics Division, National Center for Theoretical Sciences, Taipei, Taiwan
4Center for Quantum Technology, National Tsing Hua University, Hsinchu, Taiwan
5Center for Theory and Computation, National Tsing Hua University, Hsinchu, Taiwan
* Presenter:jiapei zhuang, email:jpzhuangphy@gmail.com
We systematically investigate the ground state phase diagram and the finite temperature phase transitions for a Rydberg-dressed Fermi gas loaded in a bilayer optical lattice. When an effective finite-ranged attraction is induced, our self-consistent meanfield calculation shows that the gapped topological ( p-wave) superfluids in each layer are coupled together via s-wave pairing in an intermediate inter-layer distance by spontaneously modulating the relative gauge phases of these two order parameters. The obtained ground state is a gapless topological superfluid with finite topological charges around the Weyl points, leading to a zero energy flat band at the edges. Finally, we calculate the finite temperature phase diagrams of this 2D gapless superfluid and observe two distinct critical temperatures, demonstrating the fruitful many-body effects on a paired topological superfluid.

Keywords: Topological superfluids, Majorana fermions, Topological superconductors, Atom-Molecular Optical Physics