The spontaneous breaking of time-translation symmetry has led to the discovery of a new
phase of matter: the discrete time crystal. Discrete time crystals exhibit rigid subharmonic …

The understanding of disordered quantum systems is still far from being complete, despite
many decades of research on a variety of physical systems. In this review we discuss how …

Following a general protocol of periodically driving static first-order topological phases
(supporting surface states) with suitable discrete symmetry breaking Wilson-Dirac masses …

Sandro Wimberger An Introduction Second Edition Page 1 Nonlinear Dynamics and
Quantum Chaos Sandro Wimberger An Introduction Second Edition Graduate Texts in …

With the exception of the harmonic oscillator, quantum wave packets usually spread as time
evolves. This is due to the non-linear character of the classical equations of motion which …

Higher-order topological (HOT) states, hosting topologically protected modes on lower-
dimensional boundaries, such as hinges and corners, have recently extended the realm of …

Using a cold atomic gas exposed to laser pulses—a realization of the chaotic quasiperiodic
kicked rotor with three incommensurate frequencies—we study experimentally and …

We demonstrate that quantum dynamical localization in the Arnold web of higher-
dimensional Hamiltonian systems is destroyed by an intrinsic classical drift. Thus quantum …

We present a quantum algorithm which simulates the quantum kicked rotator model
exponentially faster than classical algorithms. This shows that important physical problems …

The understanding of how classical dynamics can emerge in closed quantum systems is a
problem<? format?> of fundamental importance. Remarkably, while classical behavior …