Observation of Near-Critical Kibble-Zurek Scaling in Rydberg Atom Arrays

TL;DR

This study demonstrates that near-critical Kibble-Zurek scaling can be observed in Rydberg atom arrays even without crossing the critical point, provided system size and symmetry-breaking fields are properly scaled with ramping speeds.

Contribution

The paper experimentally shows that near-critical Kibble-Zurek scaling persists in finite systems by appropriately scaling system size and symmetry-breaking fields, extending the applicability of the scaling law.

Findings

Kibble-Zurek scaling observed in near-critical crossover regime

Proper scaling of system size and symmetry-breaking field is crucial

Rydberg atom arrays enable precise control for these experiments

Abstract

The Kibble-Zurek scaling reveals the universal dynamics when a system is linearly ramped across a symmetry-breaking phase transition. However, in reality, inevitable finite-size effects or symmetrybreaking perturbations can often smear out the critical point and render the phase transition into a smooth crossover. In this letter, we show experimentally that the precise Kibble-Zurek scaling can be retained in the near-critical crossover regime, not necessarily crossing the critical point strictly. The key ingredient to achieving this near-critical Kibble-Zurek scaling is that the system size and the symmetry-breaking field must be appropriately scaled following the variation of ramping speeds. The experiment is performed in a reconfigurable Rydberg atom array platform, where the Rydberg blockade effect induces a Z2 symmetry-breaking transition. The atom array platform enables precise control of the system size and the zigzag geometry as a symmetry-breaking field. Therefore, we can demonstrate notable differences in the precision of the Kibble-Zurek scaling with or without properly scaling the system size and the zigzag geometry. Our results strengthen the Kibble-Zurek scaling as an increasingly valuable tool for investigating phase transition in quantum simulation platforms.