Diffusion driven by temperature or concentration gradients is a fundamental mechanism of
energy and mass transport that inherently differs from wave propagation in both physical …

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 …

The topological properties of an object, associated with an integer called the topological
invariant, are global features that cannot change continuously but only through abrupt …

Nonlinear topological photonics is an emerging field that aims to extend the fascinating
properties of topological states to a regime where interactions between the system …

Thouless pumping enables topological transport and the direct measurement of topological
invariants. So far, realizations of Thouless pumping rely on the adiabatic evolution of a …

Geometric properties of wave functions can explain the appearance of topological invariants
in many condensed-matter and quantum systems. For example, topological invariants …

In many contexts, interaction between particles gives rise to emergent phenomena. An
example is the fractional quantum Hall effect, where the interaction between electrons leads …

Exploring the interplay between topological band structures and tunable nonlinearities has
become possible with the development of synthetic lattice systems. In this emerging field of …

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

Constructing new topological materials is of vital interest for the development of robust
quantum applications. However, engineering such materials often causes technological …