We give a general overview of the high-frequency regime in periodically driven systems and
identify three distinct classes of driving protocols in which the infinite-frequency Floquet …

Experimental progress in atomic, molecular, and optical platforms in the last decade has
stimulated strong and broad interest in the quantum coherent dynamics of many long-range …

We give a systematic review of the adiabatic theorem and the leading non-adiabatic
corrections in periodically-driven (Floquet) systems. These corrections have a two-fold …

This work aims at giving Trotter errors in digital quantum simulation (DQS) of collective spin
systems an interpretation in terms of quantum chaos of the kicked top. In particular, for DQS …

We review the effects of excited-state quantum phase transitions (ESQPTs) in interacting
many-body systems with finite numbers of collective degrees of freedom. We classify typical …

Quantum chaotic interacting N-particle systems are assumed to show fast and irreversible
spreading of quantum information on short (Ehrenfest) time scales∼ log N. Here, we show …

We study the structure of the eigenstates and the dynamics of a system that undergoes an
excited-state quantum phase transition (ESQPT). The analysis is performed for two-level …

Excited-state quantum phase transitions extend the notion of quantum phase transitions
beyond the ground state. They are characterized by closing energy gaps amid the spectrum …

We propose that a broad class of excited-state quantum phase transitions (ESQPTs) gives
rise to two different excited-state quantum phases. These phases are identified by means of …

The Rabi model, a two-level atom coupled to a harmonic oscillator, can undergo a second-
order quantum phase transition (QPT)[M.-J. Hwang et al., Phys. Rev. Lett. 115, 180404 …