Nonequilibrium critical dynamics in the quantum chiral clock model

2019/01/19 by Rui-Zhen Huang, Shuai Yin
Mathematics · Physics and Astronomy · #Critical exponent #Critical phenomena #Critical point (mathematics) #Dynamic scaling #Exponent #Mathematical analysis #Mathematics #Non-equilibrium thermodynamics #Opinion Dynamics and Social Influence #Phase transition #Physics #Quantum #Quantum and electron transport phenomena #Quantum critical point #Quantum many-body systems #Quantum mechanics #Quantum phase transition #Renormalization group #Scaling #Statistical physics #Universality (dynamical systems) #cond-mat.stat-mech

paper · pdf · doi:10.1103/physrevb.99.184104

published as Phys. Rev. B 99, 184104 (2019) · 8 pages, 7 figures, 1 table

arxiv created 2019/01/19 · openalex publication_date 2019/05/14 · arxiv updated 2019/05/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06

Abstract

In this paper we study the driven critical dynamics in the three-state quantum chiral clock model. This is motivated by a recent experiment [Keesling et al., Nature 568, 207 (2019)], which verified the Kibble-Zurek mechanism and the finite-time scaling in a reconfigurable one-dimensional array of ⁸⁷Rb atoms with programmable interactions. This experimental model has the same universality class as the quantum chiral clock model and has been shown to possess a nontrivial noninteger dynamic exponent z. Besides the case of changing the transverse field as realized in the experiment, we also consider the driven dynamics under changing longitudinal field. For both cases, we verify the finite-time scaling for a noninteger dynamic exponent z. Furthermore, we determine the critical exponents \ensuremathβ and \ensuremathδ numerically. We also investigate the dynamic scaling behavior including the thermal effects, which are inevitably involved in experiments. From a nonequilibrium dynamic point of view, our results strongly support a direct continuous phase transition between the ordered phase and the disordered phase. Also, we show that the method based on the finite-time scaling theory provides a promising approach to determine the critical point and critical properties.

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