Exact dynamics in dual-unitary quantum circuits with projective measurements

TL;DR

This paper introduces a class of dual-unitary quantum circuits with projective measurements, enabling exact analysis of correlations, entanglement growth, and steady states, revealing a symmetry that prevents measurement-induced phase transitions.

Contribution

It combines dual-unitary circuits with specific measurements to allow exact calculations of dynamical properties and identifies a symmetry that inhibits phase transitions.

Findings

Exact computation of dynamical correlations

Identification of a symmetry preventing phase transition

Results on entanglement growth and steady states

Abstract

Dual-unitary circuits have emerged as a minimal model for chaotic quantum many-body dynamics in which the dynamics of correlations and entanglement remains tractable. Simultaneously, there has been intense interest in the effect of measurements on the dynamics of quantum information in many-body systems. In this work we introduce a class of models combining dual-unitary circuits with particular projective measurements that allow the exact computation of dynamical correlations of local observables, entanglement growth, and steady-state entanglement. We identify a symmetry preventing a measurement-induced phase transition and present exact results for the intermediate critical purification phase.