Experimental advances have allowed for the exploration of nearly isolated quantum many-
body systems whose coupling to an external bath is very weak. A particularly interesting …

The strong disorder RG approach for random systems has been extended in many new
directions since our previous review of 2005 [F. Igloi, C. Monthus, Phys. Rep. 412, 277 …

We show how second-order Floquet engineering can be employed to realize systems in
which many-body localization coexists with topological properties in a driven system. This …

The critical properties characterizing the formation of the Floquet time crystal in the
prethermal phase are investigated analytically in the periodically driven O (N) model. In …

We uncover an aspect of the Kibble-Zurek phenomenology, according to which the spectrum
of critical exponents of a classical or quantum phase transition is revealed, by driving the …

In this work, we present a new approach to disordered, periodically driven (Floquet)
quantum many-body systems based on flow equations. Specifically, we introduce a …

We develop a comprehensive renormalization group (RG) approach to criticality in open
Floquet systems, where dissipation enables the system to reach a well-defined Floquet …

We investigate the effects of quenched randomness on topological quantum phase
transitions in strongly interacting two-dimensional systems. We focus first on transitions …

A discrete time crystal (DTC) is a quantum phase of matter related to the symmetries of a
periodically driven system. It can appear when the initial state breaks these symmetries, and …

Network models for equilibrium integer quantum Hall (IQH) transitions are described by
unitary scattering matrices that can also be viewed as representing nonequilibrium Floquet …