Many-body localization regime for cavity induced long-range interacting models

TL;DR

This paper investigates many-body localization in a large spin chain with cavity-induced long-range interactions, demonstrating nonergodic behavior and MBL features in experimentally relevant sizes using tensor network methods.

Contribution

It introduces a scalable tensor network approach to study MBL in large long-range interacting systems, extending beyond small-size exact diagonalization.

Findings

MBL features observed in large system sizes

Nonergodic behavior persists with disorder and tilted potential

Results applicable to experimental cold atom systems

Abstract

Many-body localization (MBL) features are studied here for a large spin chain model with long range interactions. The model corresponds to cold atoms placed inside a cavity and driven by an external laser field with long range interactions coming from rescattering of cavity photons. Earlier studies were limited to small sizes amenable to exact diagonalization. It is shown that nonergodic features and MBL may exist in this model for random disorder as well as in the presence of tilted potential on experimental time scales also for experimentally relevant system sizes using tensor networks algorithms.