Topological superradiant state in Fermi gases with cavity induced spin-orbit coupling

Abstract

Coherently driven atomic gases inside optical cavities hold great promise for generating rich dynamics and exotic states of matter. It was shown recently that an exotic topological superradiant state exists in a two-component degenerate Fermi gas coupled to a cavity, where local order parameters coexist with global topological invariants. In this work, we characterize in detail various properties of this exotic state, focusing on the feedback interactions between the atoms and the cavity field. In particular, we demonstrate that cavity-induced interband coupling plays a crucial role in inducing the topological phase transition between the conventional and topological superradiant states. We analyze the interesting signatures in the cavity field left by the closing and reopening of the atomic bulk gap across the topological phase boundary and discuss the robustness of the topological superradiant state by investigating the steady-state phase diagram under various conditions. Furthermore, we consider the interaction effect and discuss the interplay between the pairing order in atomic ensembles and the superradiance of the cavity mode. Our work provides many valuable insights into the unique cavity--atom hybrid system under study and is helpful for future experimental exploration of the topological superradiant state.

12 pages+10 figures

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Cited by in corpus (11)

• Topological quantum matter with cold atoms
• Dynamical spin-orbit coupling of a quantum gas
• Symmetry-protected topological states for interacting fermions in alkaline-earth-like atoms
• Quantum phases of spinful Fermi gases in optical cavities
• Localization driven superradiant instability
• Antiferromagnetic self-ordering of a Fermi gas in a ring cavity
• Cavity-induced emergent topological spin textures in a Bose Einstein condensate
• Non-equilibrium phases of Fermi gas inside a cavity with imbalanced pumping
• Asymmetric Conductivity of the Kondo Effect in Cold Atomic Systems
• Many-body localization of one-dimensional degenerate Fermi gases with cavity-assisted non-local quasiperiodic interactions
• Superradiant phase transitions in one-dimensional correlated Fermi gases with cavity-induced umklapp scattering