Measurement-induced integer families of critical dynamical scaling in quantum many-body systems

TL;DR

This paper uncovers a class of critical dynamical scaling behaviors in quantum many-body systems undergoing measurement-induced transitions, linked to symmetry and high-order exceptional points, with feasible experimental observation methods.

Contribution

It introduces a novel classification of measurement-induced critical scaling based on symmetry and exceptional points in non-Hermitian models.

Findings

Different integer families of dynamical scaling emerge depending on system symmetry.

Hierarchies of high order exceptional points explain the origin of these scaling families.

Experimental observation is feasible with ultracold atoms or quantum computing systems.

Abstract

A quantum many-body system can undergo transitions in the presence of continuous measurement. In this work, we find that a generic class of critical dynamical scaling behavior can emerge at these measurement-induced transitions. Remarkably, depending on the symmetry that can be respected by the system, different integer families of dynamical scaling can emerge. The origin of these scaling families can be traced back to the presence of hierarchies of high order exceptional points in the effective non-Hermitian descriptions of the systems. Direct experimental observation of this class of dynamical scaling behavior can be readily achieved using ultracold atoms in optical lattices or through intermediate-scale quantum computing systems.