Enhancing the effect of quantum many-body scars on dynamics by minimising the effective dimension

TL;DR

This paper demonstrates that minimizing the effective dimension of initial states in Rydberg atom chains enhances the visibility and duration of quantum many-body scar-induced oscillations, highlighting a new way to control non-thermalizing dynamics.

Contribution

It introduces the effective dimension as a measure for identifying initial states that amplify many-body scar effects in quantum dynamics.

Findings

Minimizing effective dimension leads to longer-lived oscillations.

Identifies initial states that accentuate quantum scars.

Enhances understanding of non-thermalizing dynamics in Rydberg chains.

Abstract

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 non-thermalising 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.