Quantized Adiabatic Transport in Momentum Space

TL;DR

This paper explores how topological properties of Floquet bands in driven quantum systems lead to quantized adiabatic transport in momentum space, supported by theoretical predictions and numerical validation.

Contribution

It introduces a new understanding of Floquet band topology's role in momentum space transport and predicts quantized adiabatic transport based on Chern numbers.

Findings

Identification of topological phase transitions in Floquet bands

Prediction of quantized adiabatic transport in momentum space

Numerical confirmation supporting experimental feasibility

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.