Thouless pumping provides one of the simplest manifestations of topology in quantum
systems and has attracted a lot of recent interest, both theoretically and experimentally …

Thouless charge pumping protocols provide a route for one-dimensional systems to realize
topological transport. Here, using arrays of evanescently coupled optical waveguides, we …

A Thouless pump transports an integer amount of charge when pumping adiabatically
around a singularity. We study the splitting of such a critical point into two separate critical …

Based on a topological transition of the symmetry-protected topological phase (SPT), an
interaction-induced topological charge pump (iTCP) is proposed with the symmetry-breaking …

Recent experiments with ultracold quantum gases have successfully realized integer-
quantized topological charge pumping in optical lattices. Motivated by this progress, we …

Robustness against perturbations lies at the heart of topological phenomena. If, however, a
perturbation such as disorder becomes dominant, it may cause a topological phase …

In this paper we propose an S-matrix approach to numerical simulations of network models
and apply it to random networks that we proposed in a previous work [IA Gruzberg, A …

Topological photonics is emerging as a new paradigm for the development of both classical
and quantum photonic architectures. What makes topological photonics remarkably …

Thouless pumping, a dynamical version of the integer quantum Hall effect, represents the
quantized charge pumped during an adiabatic cyclic evolution. Here we report experimental …

A Thouless pump is a slowly driven one-dimensional band insulator which pumps charge at
a quantised rate. Previous work showed that pumping persists in weakly disordered chains …