Shortcuts to adiabatic Thouless pumping

TL;DR

This paper introduces a method using shortcuts to adiabaticity to significantly accelerate Thouless pumping, enabling faster and more robust topological particle transport beyond traditional adiabatic limits.

Contribution

It develops an analytical controlled Hamiltonian via counterdiabatic theory for dispersion-suppressed, fast topological pumping, surpassing the speed of traditional methods.

Findings

Pumping time reduced by up to 11 orders of magnitude.

Wavepacket diffusion effectively suppressed.

Protocol remains resilient under moderate noise.

Abstract

Thouless pumping, the quantized transport of particles in a cyclic adiabatic evolution, faces a challenge: slow driving may exceed the coherent time, while fast driving may break quantization. To address this dilemma, we propose to speed up Thouless pumping using shortcuts to adiabaticity. By using counterdiabatic theory, we analytically derive the controlled Hamiltonian for implementing dispersion-suppressed Thouless pumping beyond the adiabatic regime. Compared to traditional Thouless pumping methods, our fast topological pumping approach offers remarkable advantages. Firstly, it enables a substantial reduction of pumping time up to 11 orders of magnitude faster than the traditional approach. Secondly, our method effectively suppresses wavepacket diffusion, further enhancing its efficiency. Furthermore, we demonstrate the resilience of our protocol against moderate noise levels. Our study offers a practical and efficient method for achieving fast topological pumping beyond the adiabatic regime.