Dual dynamic scaling in deconfined quantum criticality

2022/01/21 by Yu-Rong Shu, Shuai Yin
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Critical exponent #Critical point (mathematics) #Criticality #Mathematics #Non-equilibrium thermodynamics #Phase transition #Physics #Physics of Superconductivity and Magnetism #Quantum #Quantum many-body systems #Quantum mechanics #Renormalization group #Scaling #Statistical physics #Universality (dynamical systems) #cond-mat.stat-mech #cond-mat.str-el #hep-lat #quant-ph

paper · pdf · doi:10.1103/physrevb.105.104420

18 pages, 11 figures

arxiv created 2022/01/21 · openalex publication_date 2022/03/21 · arxiv updated 2022/03/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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-Q₃ model. In this work, we study the nonequilibrium imaginary-time relaxation dynamics in the J-Q₂ 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.

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