Quantized Adiabatic Transport in Momentum Space
arXiv:1206.4756 · doi:10.1103/PhysRevLett.109.010601
Abstract
Though topological aspects of energy bands are known to play a key role in quantum transport in solid-state systems, the implications of Floquet band topology for transport in momentum space (i.e., acceleration) are not explored so far. Using a ratchet accelerator model inspired by existing cold-atom experiments, here we characterize a class of extended Floquet bands of one-dimensional driven quantum systems by Chern numbers, reveal topological phase transitions therein, and theoretically predict the quantization of adiabatic transport in momentum space. Numerical results confirm our theory and indicate the feasibility of experimental studies.
Main text of 11 pages plus Appendix of 13 pages. To appear in Phys. Rev. Lett
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- Planck's quantum-driven integer quantum Hall effect in chaos
- Interband Coherence Induced Correction to Adiabatic Pumping in Periodically Driven Systems
- Adiabatic quantum state transfer in tight-binding chains using periodic driving fields
- Quantum Properties of Double Kicked Systems with Classical Translational Invariance in Momentum