Report on 2104.02751v3

Abstract

Thouless pumping is a fundamental instance of quantized transport, which is topologically protected.Although its theoretical importance, the adiabaticity condition is an obstacle for further practical applications.Here, focusing on the Rice-Mele model, we provide a family of finite-frequency examples that ensure both the absence of excitations and the perfect quantization of the pumped charge at the end of each cycle.This family, which contains an adiabatic protocol as a limiting case, is obtained through a mapping onto the zero curvature representation of the Euclidean sinh-Gordon equation.

Authors 2

1. Savvas Malikis corresponding Aachen Instituut-Lorentz

   Leiden University

   Affiliation as printed

   Instituut-Lorentz , Universiteit Leiden , Leiden , The Netherlands

   Instituut-Lorentz, Universiteit Leiden, Leiden, The Netherlands

2. Vadim Cheianov Aachen Instituut-Lorentz

   Leiden University

   Affiliation as printed

   Instituut-Lorentz , Universiteit Leiden , Leiden , The Netherlands

   Instituut-Lorentz, Universiteit Leiden, Leiden, The Netherlands