The classical random walk formalism plays an important role in a wide range of applications.
Its quantum counterpart, the quantum walk, is proposed as an important theoretical model …

Interacting many-body quantum systems show a rich array of physical phenomena and
dynamical properties, but are notoriously difficult to study: they are analytically challenging …

Transport of energy carriers in solid-state materials is determined by their wavefunctions and
interactions with the environment. While quantum transport theory has predicted distinct …

Quantum simulation provides platforms to study fundamental aspects of many-body physics
in a controlled way, and to explore their implications for quantum technology. However, the …

Gradient fields can effectively suppress particle tunneling in a lattice and localize the wave
function at all energy scales, a phenomenon known as Stark localization. Here, we show …

We derive an exact solution for the steady state of a setup where two XX-coupled N-qubit
spin chains (with possibly nonuniform couplings) are subject to boundary Rabi drives and …

Lattices with dispersionless, or flat, energy bands have attracted substantial interest in part
due to the strong dependence of particle dynamics on interactions. Using superconducting …

Photonic simulators using synthetic frequency dimensions have enabled flexible
experimental analogues of condensed-matter systems. However, so far, such photonic …

Superconducting quantum processors are a compelling platform for analogue quantum
simulation due to the precision control, fast operation and site-resolved readout inherent to …

Guiding many-body systems to desired states is a central challenge of modern quantum
science, with applications from quantum computation, to many-body physics and quantum …