Non-equilibrium Fractional Hall Response After a Topological Quench

Abstract

We theoretically study the Hall response of a lattice system following a quench where the topology of a filled band is suddenly changed. In the limit where the physics is dominated by a single Dirac cone, we find that the change in the Hall conductivity is two-thirds of the quantum of conductivity. We explore this universal behavior in the Haldane model, and discuss cold-atom experiments for its observation. Beyond linear response, the Hall effect crosses over from fractional to integer values. We investigate finite-size effects, and the role of the harmonic confinement.

Updated reference list, minor revisions

References in corpus (5)

• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• Topological Quantum Matter with Ultracold Gases in Optical Lattices
• An Aharonov-Bohm interferometer for determining Bloch band topology
• Out of equilibrium electrons and the Hall conductance of a Floquet topological insulator
• Raman Coupling of Zeeman Sublevels in an Alkali Bose Condensate

Cited by in corpus (7)

• Topological Euler class as a dynamical observable in optical lattices
• Fate of fractional quantum Hall states in open quantum systems: characterization of correlated topological states for the full Liouvillian
• Tracing the nonequilibrium topological state of Chern insulators
• Synthetic Hall ladder with tunable magnetic flux
• Interband coherence induced correction to Thouless pumping: possible observation in cold-atom systems
• Digital Quantum Simulation of Floquet Topological Phases with a Solid-State Quantum Simulator
• Dynamical Geometry of the Haldane Model under a Quantum Quench