In the field of quantum simulation of condensed matter phenomena by artificially
engineering the Hamiltonian of an atomic, molecular or optical system, the concept of …

Kicked rotor is a paradigmatic model for classical and quantum chaos in time-dependent
Hamiltonian systems. More than fifty years since the introduction of this model, there is an …

A mobility edge, a critical energy separating localized and extended excitations, is a key
concept for understanding quantum localization. The Aubry-André (AA) model, a paradigm …

Anderson localisation—the inhibition of wave propagation in disordered media—is a
surprising interference phenomenon which is particularly intriguing in two-dimensional (2D) …

We perform a thorough and complete analysis of the Anderson localization transition on
several models of random graphs with regular and random connectivity. The unprecedented …

Classifying many-body quantum states with distinct properties and phases of matter is one of
the most fundamental tasks in quantum many-body physics. However, due to the …

Quantum interference can limit energy absorption in a continually kicked system through a
single-particle ergodicity-breaking mechanism known as dynamical localization,. The effect …

It is believed that the two-dimensional (2D) Anderson model exhibits localization for any
nonzero disorder in the thermodynamic limit and it is also well known that the finite-size …

In disordered systems, wave functions in the Schrödinger equation may exhibit a transition
from the extended phase to the localized phase, in which the states at the boundaries or …

The emergence of the mobility edge (ME) has been recognized as an important
characteristic of Anderson localization. The difficulty in understanding the physics of the MEs …