# Systematic construction of scarred many-body dynamics in 1D lattice models

## TL;DR

This paper develops a systematic method to construct 1D lattice models exhibiting many-body scarring, leading to robust wave-function revivals and slow thermalization, expanding understanding of non-integrable quantum dynamics.

## Contribution

It introduces a systematic construction of non-integrable 1D models with many-body scarring, generalizing phenomena observed in Rydberg atom systems.

## Key findings

- Models exhibit robust wave-function revivals.
- Scarring dynamics involve free precession and an interacting bottleneck.
- Models include kinetically-constrained quantum clock models.

## Abstract

We introduce a family of non-integrable 1D lattice models that feature robust periodic revivals under a global quench from certain initial product states, thus generalizing the phenomenon of many-body scarring recently observed in Rydberg atom quantum simulators. Our construction is based on a systematic embedding of the single-site unitary dynamics into a kinetically-constrained many-body system. We numerically demonstrate that this construction yields new families of models with robust wave-function revivals, and it includes kinetically-constrained quantum clock models as a special case. We show that scarring dynamics in these models can be decomposed into a period of nearly free clock precession and an interacting bottleneck, shedding light on their anomalously slow thermalization when quenched from special initial states.