Response of fermions in Chern bands to spatially local quenches

Abstract

We study the dynamical evolution of Chern-band systems after subjecting them to local quenches. For open-boundary systems, we show for half-filling that the chiral nature of edge states is manifested in the time-dependent chiral response to local density quenches on the edge. In the presence of power-law traps, we show how to mimic the half-filling situation by choosing the appropriate number of fermions depending on the trap size, and explore chiral responses of edges to local quenches in such a configuration. We find that perturbations resulting from the quenches propagate at different group velocities depending on the bulk band gap. Our results provide different routes to check dynamically the non-trivial nature of Chern bands.

11 pages, 9 figures

References in corpus (21)

• Many-Body Physics with Ultracold Gases
• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Experimental Observation of the Quantum Anomalous Hall Effect in a Magnetic Topological Insulator
• Topological Field Theory of Time-Reversal Invariant Insulators
• Experimental realisation of the topological Haldane model
• Single-Atom Resolved Fluorescence Imaging of an Atomic Mott Insulator
• Measuring the Chern number of Hofstadter bands with ultracold bosonic atoms
• High-precision realization of robust quantum anomalous Hall state in a hard ferromagnetic topological insulator
• Single-Spin Addressing in an Atomic Mott Insulator
• Trajectory of Anomalous Hall Effect toward the Quantized State in a Ferromagnetic Topological Insulator
• Scale-Invariant Dissipationless Chiral Transport in Magnetic Topological Insulators beyond the Two-Dimensional Limit
• Precise quantization of anomalous Hall effect near zero magnetic field
• Realistic Time-Reversal Invariant Topological Insulators With Neutral Atoms
• Engineering Time-Reversal Invariant Topological Insulators With Ultra-Cold Atoms
• Detecting Chiral Edge States in the Hofstadter Optical Lattice
• Tomography of band insulators from quench dynamics
• Repulsive Casimir Effect with Chern insulators
• Effects of Smooth Boundaries on Topological Edge Modes in Optical Lattices
• Fate of Majorana fermions and Chern numbers after a quantum quench
• Direct Probe of Topological Order for Cold Atoms
• Quantum particle in a parabolic lattice in the presence of a gauge field

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• Interband coherence induced correction to Thouless pumping: possible observation in cold-atom systems
• Few-particle dynamics of fractional quantum Hall lattice models