Dual dynamic scaling in deconfined quantum criticality

TL;DR

This paper investigates dual dynamic scaling in the nonequilibrium relaxation dynamics of the $J$-$Q_2$ model's deconfined quantum critical point, confirming its universality and exploring its breakdown away from criticality.

Contribution

It extends the understanding of dual dynamic scaling to the $J$-$Q_2$ model and examines its behavior near and away from the critical point, including potential experimental realizations.

Findings

Confirmed universality of dual dynamic scaling in the $J$-$Q_2$ model.

Identified the breakdown and vestige of dual dynamic scaling away from criticality.

Discussed possible experimental realizations in quantum computer devices.

Abstract

Emergent symmetry is one of the characteristic phenomena in deconfined quantum critical point (DQCP). As its nonequilibrium generalization, the dual dynamic scaling was recently discovered in the nonequilibrium imaginary-time relaxation dynamics in the DQCP of the $J$-$Q_3$ model. In this work, we study the nonequilibrium imaginary-time relaxation dynamics in the $J$-$Q_2$ model, which also hosts a DQCP belonging to the same equilibrium universality class. We not only verify the universality of the dual dynamic scaling at the critical point, but also investigate the breakdown and the vestige of the dual dynamic scaling when the tuning parameter is away from the critical point. We also discuss its possible experimental realizations in devices of quantum computers.