Quantum many-body scarring is believed to be the mechanism behind long-lived coherent oscillations in interacting Rydberg atom chains. These persistent oscillations are due to the large overlap of the many-body scars with certain initial states. We show that the “effective dimension” is a useful measure for identifying nonthermalizing initial states in many-body scarred systems. By minimising the effective dimension we find physically reasonable initial states of the Rydberg chain that lead to more pronounced and longer-lived oscillations, accentuating the effect of the many-body scars on the dynamics.

• Received 8 June 2020
• Revised 7 October 2020
• Accepted 27 October 2020

DOI:https://doi.org/10.1103/PhysRevB.102.195114