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

Pumps are transport mechanisms in which direct currents result from a cyclic evolution of the
potential,. As Thouless showed, the pum** process can have topological origins, when …

Continuous and quantized transports are profoundly different. The latter is determined by the
global rather than local properties of a system, it exhibits unique topological features, and its …

We explore quantum criticality and Kibble-Zurek scaling (KZS) in the Aubry-André-Stark
(AAS) model, where the Stark field of strength ɛ is added onto the one-dimensional …

One-dimensional topological pum** of matter waves in two overlaid optical lattices
moving with respect to each other is considered in the presence of attractive nonlinearity. It …

Topological phases are robust against weak perturbations, but break down when disorder
becomes sufficiently strong. However, moderate disorder can also induce topologically …

We propose counterintuitive topological pumps induced by disorder in noninteracting and
interacting systems. We show an extrinsic topological pump driven by the on-site …

We consider theoretically the nonlinear quantized Thouless pum** of a Bose-Einstein
condensate loaded in two-dimensional dynamical optical lattices. We encountered three …

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

Quantized adiabatic transport can occur when a system is slowly modulated over time. In
most realizations, however, the efficiency of such transport is reduced by unwanted …