We present here various techniques to work with clean and disordered quantum Ising
chains, for the benefit of students and non-experts. Starting from the Jordan-Wigner …

Discrete time crystals have attracted considerable theoretical and experimental studies but
their potential applications have remained unexplored. A particular type of discrete time …

We investigate the effects of dissipation and driving on topological order in superconducting
nanowires. Rather than studying the non-equilibrium steady state, we propose a method to …

Time crystals in periodically driven systems have initially been studied assuming either the
ability to quench the Hamiltonian between different many-body regimes, the presence of …

In systems undergoing localization-delocalization quantum phase transitions due to disorder
or monitoring, there is a crucial need for robust methods capable of distinguishing phases …

We show that homogeneous lattice gauge theories can realize nonequilibrium quantum
phases with long-range spatiotemporal order protected by gauge invariance instead of …

Periodic modulation of the Hamiltonian offers a powerful method to engineer Floquet band
properties and create new gaps capable of hosting Floquet edge modes. However, there …

We use large-scale exact diagonalization to study the quantum Ising chain in a transverse
field with long-range power-law interactions decaying with exponent α. We numerically …

Periodic drives are a common tool to control physical systems, but have a limited
applicability because time-dependent drives generically lead to heating. How to prevent the …

Discrete time crystals (DTCs) are phases of matter characterized by the presence of an
observable evolving with n T periodicity under a T-periodic Hamiltonian, where n> 1 is an …