Many-body scar state intrinsic to periodically driven system: Rigorous results

TL;DR

This paper rigorously proves the existence of many-body scar states in periodically driven quantum systems without disorder, challenging typical thermalization expectations and enabling systematic engineering of such states.

Contribution

It provides exact expressions for Floquet scar states in PXP-type models and explains how to engineer driven Hamiltonians with these states.

Findings

Existence of Floquet many-body scar states proven analytically

Explicit wave function expressions for scar states provided

Framework for designing driven Hamiltonians with scar states

Abstract

The violation of the Floquet version of eigenstate thermalization hypothesis is systematically discussed with realistic Hamiltonians. Our model is based on the PXP type interactions without disorder. We exactly prove the existence of many-body scar states in the Floquet eigenstates, by showing the explicit expressions of the wave functions. Using the underlying physical mechanism, various driven Hamiltonians with Floquet-scar states can be systematically engineered.