Equilibration of Topological Defects Near the Deconfined Quantum Multicritical Point

Abstract

Deconfined quantum criticality (DQC) arises from fractionalization of quasi-particles and leads to fascinating behaviors beyond the Landau-Ginzburg-Wilson description of phase transitions. Here, we study the critical dynamics when driving a two-dimensional quantum magnet through a weakly first-order transition point near a putative deconfined multicritical point separating antiferromagnetic and spontaneously dimerized ground states. Numerical simulations show that the conventional Kibble-Zurek scaling (KZS) mechanism is inadequate for describing the annealing process. We introduce the concept of dual asymmetric KZS, where both a pseudocritical relaxation time and the deconfinement time enter and the scaling also depends on the driving direction according to a duality principle connecting the topological defects in the two phases. These defects require a much longer time scale for equilibration than the amplitude of the order parameter. Beyond advancing the DQC scenario, our scaling approach provides a new window into out-of-equilibrium criticality with multiple length and time scales.

19 pages, 9 figures

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Cited by in corpus (7)

• Tricritical Kibble-Zurek scaling in Rydberg atom ladders
• Nonequilibrium Critical Dynamics with Emergent Supersymmetry
• Driven Critical Dynamics in Tricitical Point
• Deconfined quantum criticality on a triangular Rydberg array
• Finite-time scaling with two characteristic time scales: Driven critical dynamics with emergent symmetry
• Scaling corrections in driven critical dynamics: Application to a two-dimensional dimerized quantum Heisenberg model
• Anomalous Dynamical Scaling at Topological Quantum Criticality