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Quantum Quenches in Chern Insulators.

M D Caio1, N R Cooper2, M J Bhaseen1

  • 1Department of Physics, King's College London, Strand, London WC2R 2LS, United Kingdom.

Physical Review Letters
|December 20, 2015
PubMed
Summary
This summary is machine-generated.

We investigated quantum quenches in Chern insulators, finding that while the bulk topological invariant remains constant, edge states and currents dynamically evolve in finite systems. Edge currents relax to new values with light-cone spreading.

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Area of Science:

  • Condensed Matter Physics
  • Topological Matter
  • Quantum Dynamics

Background:

  • Chern insulators are topological materials characterized by a quantized Chern number.
  • Quantum quenches can drive systems between topological and nontopological phases.
  • Understanding nonequilibrium dynamics is crucial for exploring novel material properties.

Purpose of the Study:

  • To investigate the nonequilibrium response of Chern insulators under quantum quenches.
  • To analyze the behavior of edge states and currents in finite systems after a quench.
  • To examine the impact of topological phase transitions on observable quantities.

Main Methods:

  • Utilizing the Haldane model to simulate Chern insulator dynamics.
  • Performing quantum quenches between topological and nontopological phases.
  • Analyzing the evolution of edge excitations, currents, and magnetization.

Main Results:

  • The bulk Chern number remains invariant under quantum quenches between topological and nontopological phases.
  • Finite systems exhibit distinct edge modes in initial and final Hamiltonians.
  • Edge currents dynamically relax to new equilibrium values following a quench.
  • Light-cone spreading of edge currents into the bulk of the sample is observed.

Conclusions:

  • Quantum quenches in Chern insulators lead to observable changes in edge properties despite bulk invariant stability.
  • Edge dynamics, including current relaxation and spreading, are key signatures of topological phase transitions in realistic geometries.
  • These findings provide insights into the experimental control and characterization of topological states of matter.