Topological phase transition in the quench dynamics of a one-dimensional Fermi gas

Abstract

We study the quench dynamics of a one-dimensional ultracold Fermi gas in an optical lattice potential with synthetic spin-orbit coupling. At equilibrium, the ground state of the system can undergo a topological phase transition and become a topological superfluid with Majorana edge states. As the interaction is quenched near the topological phase boundary, we identify an interesting dynamical phase transition of the quenched state in the long-time limit, characterized by an abrupt change of the pairing gap at a critical quenched interaction strength. We further demonstrate the topological nature of this dynamical phase transition from edge-state analysis of the quenched states. Our findings provide interesting clues for the understanding of topological phase transitions in dynamical processes, and can be useful for the dynamical detection of Majorana edge states in corresponding systems.

7 pages, 5 figures

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Cited by in corpus (5)

• Dynamical topological phases in quenched spin-orbit coupled degenerate Fermi gas
• Nonequilibrium symmetry-protected topological order: emergence of semilocal Gibbs ensembles
• Probing two Higgs oscillations in a one-dimensional Fermi superfluid with Raman-type spin-orbit coupling
• Collisionless dynamics of superconducting gap excited by spin-splitting field
• Interband coherence induced correction to Thouless pumping: possible observation in cold-atom systems