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Quantized adiabatic transport in momentum space.

Derek Y H Ho1, Jiangbin Gong

  • 1Department of Physics and Center for Computational Science and Engineering, National University of Singapore, 117542, Singapore.

Physical Review Letters
|October 4, 2012
PubMed
Summary

This study explores Floquet band topology in driven quantum systems, revealing topological phase transitions and predicting quantized momentum-space transport. These findings open new avenues for controlling quantum acceleration in experiments.

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Area of Science:

  • Quantum physics
  • Condensed matter physics
  • Topological materials

Background:

  • Topological aspects of energy bands are crucial for quantum transport in solids.
  • The role of Floquet band topology in momentum-space transport (acceleration) remains unexplored.

Purpose of the Study:

  • To investigate the implications of Floquet band topology for momentum-space transport.
  • To characterize Floquet bands in driven quantum systems using topological invariants.
  • To predict quantized adiabatic transport in momentum space.

Main Methods:

  • Utilized a ratchet accelerator model inspired by cold-atom experiments.
  • Characterized extended Floquet bands using Chern numbers.
  • Investigated topological phase transitions within these bands.

Main Results:

  • Identified and characterized a class of extended Floquet bands.
  • Revealed topological phase transitions in the Floquet band structure.
  • Theoretically predicted the quantization of adiabatic transport in momentum space.
  • Numerical simulations confirmed the theoretical predictions.

Conclusions:

  • Floquet band topology significantly impacts momentum-space transport.
  • Topological phase transitions offer a route to control quantum acceleration.
  • The predicted quantized transport is experimentally feasible in driven quantum systems.