Eigenstate phase transitions and the emergence of universal dynamics in highly excited states

TL;DR

This paper reviews recent progress in understanding eigenstate phase transitions in disordered systems, focusing on universal scaling and the nature of transitions between many-body localized and thermal phases.

Contribution

It provides a comprehensive overview of the universal properties and critical phenomena associated with eigenstate phase transitions in non-ergodic disordered systems.

Findings

Identification of dynamical critical points in MBL systems

Universal scaling behavior in non-equilibrium phase transitions

Characterization of transitions between MBL and thermal phases

Abstract

We review recent advances in understanding the universal scaling properties of non-equilibrium phase transitions in non-ergodic disordered systems. We discuss dynamical critical points (also known as eigenstate phase transitions) between different many-body localized (MBL) phases, and between MBL and thermal phases.