Conditions for quantum many-body scarring in non-integrable systems

Determine the general criteria under which non-integrable quantum many-body systems exhibit quantum many-body scarring, specifying when such systems can be expected to host periodic revivals of atypical initial states instead of thermalizing.

Background

The paper highlights experiments on Rydberg atom chains showing persistent revivals from specific initial states—quantum many-body scarring—that defy conventional thermalization expectations. Proposed explanations include proximity to integrability and dynamical symmetries, but a comprehensive predictive framework is missing.

The authors explicitly note that despite progress, it remains an open question to identify when non-integrable systems host many-body scars, underscoring the need for a systematic understanding of the underlying mechanisms and conditions.