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 …

This is an introductory review of the physics of topological quantum matter with cold atoms.
Topological quantum phases, originally discovered and investigated in condensed matter …

We extend the theory of dipole moments in crystalline insulators to higher multipole
moments. As first formulated in Benalcazar et al.[Science 357, 61 (2017) SCIEAS 0036-8075 …

Topological charge pumping enables the transport of charge through an adiabatic cyclic
evolution of the underlying Hamiltonian. In contrast to classical transport, the transported …

An electron gas in a one-dimensional periodic potential can be transported even in the
absence of a voltage bias if the potential is slowly and periodically modulated in time …

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

We study the extended Su-Schrieffer-Heeger model with both nearest-neighbor and next-
nearest-neighbor hopping strengths cyclically modulated and find the family of the model …

Quantum gas microscopy has emerged as a powerful new way to probe quantum many-
body systems at the microscopic level. However, layered or efficient spin-resolved readout …

Recently, it was discovered that certain non-Hermitian systems can exhibit qualitative
different properties at different system sizes, such as being gapless at small sizes and …

Thouless pump provides robust ways to realize quantized transport of waves and particles,
and it casts the static 2D quantum Hall effect onto 1D dynamic systems where one of the …