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 …

Recent years have seen tremendous progress in the theoretical understanding of quantum
systems driven dissipatively by coupling to different baths at their edges. This was possible …

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

In this report we review the present state of the art of the control of propagating quantum
states at the single-electron level and its potential application to quantum information …

The ac Josephson effect predicted in 1962 and observed experimentally in 1963 as
quantized 'voltage steps'(the Shapiro steps) from photon-assisted tunnelling of Cooper pairs …

Quantum phenomena are typically observable at length and time scales smaller than those
of our everyday experience, often involving individual particles or excitations. The past few …

The tunnelling of quasiparticles across Josephson junctions in superconducting quantum
circuits is an intrinsic decoherence mechanism for qubit degrees of freedom. Understanding …

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

The edge channels of the quantum Hall effect provide one dimensional chiral and ballistic
wires along which electrons can be guided in an optics‐like setup. Electronic propagation …

The modern primary voltage standard is based on the ac Josephson effect and the ensuing
Shapiro steps, where a microwave tone applied to a Josephson junction yields a constant …