去禁闭量子多临界点附近拓扑缺陷的平衡化
Equilibration of Topological Defects Near the Deconfined Quantum Multicritical Point
AI总结:
本文研究二维量子磁体在去禁闭多临界点附近的退火动力学,提出双不对称Kibble-Zurek标度以描述拓扑缺陷的缓慢平衡化,揭示多长度与时间尺度的非平衡临界行为。
摘要:
去禁闭量子临界性(DQC)源于准粒子的分数化,并导致超越相变的朗道-金兹堡-威尔逊描述之外的迷人行为。在此,我们研究当驱动一个二维量子磁体通过一个弱一阶相变点时的临界动力学,该相变点位于一个假定的去禁闭多临界点附近,该多临界点分隔反铁磁基态和自发二聚化基态。数值模拟表明,传统的Kibble-Zurek标度(KZS)机制不足以描述退火过程。我们引入双不对称KZS的概念,其中同时进入一个赝临界弛豫时间和去禁闭时间,并且标度还根据一个对偶原理依赖于驱动方向,该对偶原理连接两个相中的拓扑缺陷。这些缺陷需要比序参量的振幅长得多的平衡时间尺度。除了推进DQC图景之外,我们的标度方法为具有多个长度和时间尺度的非平衡临界性提供了一个新的窗口。
英文摘要:
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.
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