Stability of scar states in 2D PXP model against random disorders

TL;DR

This paper investigates the robustness of quantum many-body scar states in a 2D PXP model under random disorder, revealing their persistence up to finite disorder strength and exploring the conditions for localization transitions.

Contribution

It demonstrates the stability of scar states in 2D lattices against disorder and analyzes how different disorder types influence localization phenomena.

Findings

Scar states persist up to finite disorder strength

Type of disorder affects localization transition

Scar states can be erased by strong disorder

Abstract

Recently a class of quantum systems exhibiting weak ergodicity breaking has attracted much attention. These systems feature a special band of eigenstates called quantum many-body scar states in the energy spectrum. In this work we study the fate of quantum many-body scar states in a two-dimensional lattice against random disorders. We show that in both the square lattice and the honeycomb lattice the scar states can persist up to a finite disorder strength, before eventually being erased by the disorder. We further study the localization properties of the system in the presence of even stronger disorders and show that whether a full localization transition occurs depends on the type of disorder we introduce. Our study thus reveals the fascinating interplay between disorder and quantum many-body scarring in a two-dimensional system.