We review selected advances in the theoretical understanding of complex quantum many-
body systems with regard to emergent notions of quantum statistical mechanics. We cover …

In the course of a nonequilibrium continuous phase transition, the dynamics ceases to be
adiabatic in the vicinity of the critical point as a result of the critical slowing down (the …

Experiments on disordered alloys,–suggest that spin glasses can be brought into low-
energy states faster by annealing quantum fluctuations than by conventional thermal …

The many-body physics at quantum phase transitions shows a subtle interplay between
quantum and thermal fluctuations, emerging in the low-temperature limit. In this review, we …

We apply the recently developed notion of complexity for field theory to a quantum quench
through a critical point in 1+ 1 dimensions. We begin with a toy model consisting of a …

The dynamics of quantum phase transitions pose one of the most challenging problems in
modern many-body physics. Here, we study a prototypical example in a clean and well …

The quantum Kibble-Zurek mechanism (QKZM) predicts universal dynamical behavior near
the quantum phase transitions (QPTs). It is now well understood for the one-dimensional …

In this paper, we investigate the driven dynamics of the localization transition in the non-
Hermitian Aubry-André model with the periodic boundary condition. Depending on the …

The dynamics of many-body systems spanning condensed matter, cosmology, and beyond
are hypothesized to be universal when the systems cross continuous phase transitions. The …

Programmable quantum devices are now able to probe wave functions at unprecedented
levels. This is based on the ability to project the many-body state of atom and qubit arrays …