Upcoming and planned experiments combining increasingly intense lasers and energetic
particle beams will access new regimes of nonlinear, relativistic, quantum effects. This …

Quantum walks, the quantum mechanical counterpart of classical random walks, is an
advanced tool for building quantum algorithms that has been recently shown to constitute a …

Quantum random walk is the quantum counterpart of a classical random walk. The classical
random walk concept has long been used as a computational framework for designing …

The study of nonequilibrium phenomena in correlated lattice systems has developed into
one of the most active and exciting branches of condensed matter physics. This research …

The quantum walk was originally proposed as a quantum-mechanical analog of the
classical random walk, and has since become a powerful tool in quantum information …

Topological photonics is a new and rapidly growing field that deals with topological phases
and topological insulators for light. Recently, the scope of these systems was expanded …

Discrete-time quantum walks have been shown to simulate all known topological phases in
one and two dimensions. Being periodically driven quantum systems, their topological …

We solve the impurity problem which arises within nonequilibrium dynamical mean-field
theory for the Hubbard model by means of a self-consistent perturbation expansion around …

Quantum walks can be considered as a generalized version of the classical random walk.
There are two classes of quantum walks, that is, the discrete-time (or coined) and the …

Discrete quantum walks are dynamical protocols for controlling a single quantum particle.
Despite of its simplicity, quantum walks display rich topological phenomena and provide one …