Discretizing spacetime is often a natural step towards modelling physical systems. For
quantum systems, if we also demand a strict bound on the speed of information propagation …

Temporal multiplexing provides an efficient and scalable approach to realize a quantum
random walk with photons that can exhibit topological properties. But two-dimensional time …

Describing a particle in an external electromagnetic field is a basic task of quantum
mechanics. The standard scheme for this is known as “minimal coupling” and consists of …

Quantum walks are processes that model dynamics in coherent systems. Their experimental
implementations proved to be key to unveiling novel phenomena in Floquet topological …

We study the dynamics of a quantum walker simultaneously subjected to time-independent
and-dependent phases. Such dynamics emulates a charged quantum particle in a lattice …

Synthetic dimensions provide a promising platform for photonic quantum simulations.
Manipulating the flow of photons in these dimensions requires an electric field. However …

Bloch oscillations appear when an electric field is superimposed on a quantum particle that
evolves on a lattice with a tight-binding Hamiltonian (TBH), ie, evolves via what we call an …

A discrete action principle for general quantum automata is proposed. This action principle
is particularized to Discrete Time Quantum Walks (DTQWs) and then extended into an …

A particular family of Discrete Time Quantum Walks (DTQWs) simulating fermion
propagation in 2D curved space-time is revisited. Usual continuous covariant derivatives …

We consider the two-dimensional alternate quantum walk on a cylinder. We concentrate on
the study of the motion along the open dimension, in the spirit of looking at the closed …