Scaling corrections in driven critical dynamics: Application to the two-dimensional dimerized quantum Heisenberg model

doi:10.1088/1674-1056/adc672

中国物理B ›› 2025, Vol. 34 ›› Issue (5): 57502-057502.doi: 10.1088/1674-1056/adc672

Scaling corrections in driven critical dynamics: Application to the two-dimensional dimerized quantum Heisenberg model

Jing-Wen Liu(刘静雯)¹, Shuai Yin(阴帅)², and Yu-Rong Shu(舒玉蓉)^1,†

1 School of Physics, Guangzhou University, Guangzhou 510275, China;
2 Guangdong Provincial Key Laboratory of Magnetoelectric Physics and Devices, School of Physics, Sun Yat-Sen University, Guangzhou 510275, China

收稿日期:2025-02-13 修回日期:2025-03-27 接受日期:2025-03-28 出版日期:2025-04-18 发布日期:2025-05-08
通讯作者: Yu-Rong Shu E-mail:yrshu@gzhu.edu.cn
基金资助:
The authors thank Fan Zhong for helpful discussions. Project supported by the National Natural Science Foundation of China (Grant Nos. 12104109, 12222515, and 12075324), the Science and Technology Projects in Guangzhou (Grant No. 2024A04J2092), and the Science and Technology Projects in Guangdong Province (Grant No. 211193863020).

Scaling corrections in driven critical dynamics: Application to the two-dimensional dimerized quantum Heisenberg model

Jing-Wen Liu(刘静雯)¹, Shuai Yin(阴帅)², and Yu-Rong Shu(舒玉蓉)^1,†

1 School of Physics, Guangzhou University, Guangzhou 510275, China;
2 Guangdong Provincial Key Laboratory of Magnetoelectric Physics and Devices, School of Physics, Sun Yat-Sen University, Guangzhou 510275, China

Received:2025-02-13 Revised:2025-03-27 Accepted:2025-03-28 Online:2025-04-18 Published:2025-05-08
Contact: Yu-Rong Shu E-mail:yrshu@gzhu.edu.cn
Supported by:
The authors thank Fan Zhong for helpful discussions. Project supported by the National Natural Science Foundation of China (Grant Nos. 12104109, 12222515, and 12075324), the Science and Technology Projects in Guangzhou (Grant No. 2024A04J2092), and the Science and Technology Projects in Guangdong Province (Grant No. 211193863020).

摘要/Abstract

摘要： Driven critical dynamics in quantum phase transitions holds significant theoretical importance, and also has practical applications in fast-developing quantum devices. While scaling corrections have been shown to play important roles in fully characterizing equilibrium quantum criticality, their impact on nonequilibrium critical dynamics has not been extensively explored. In this work, we investigate the driven critical dynamics in a two-dimensional quantum Heisenberg model. We find that in this model the scaling corrections arising from both finite system size and finite driving rate must be incorporated into the finite-time scaling form in order to properly describe the nonequilibrium scaling behaviors. In addition, improved scaling relations are obtained from the expansion of the full scaling form. We numerically verify these scaling forms and improved scaling relations for different starting states using the nonequilibrium quantum Monte Carlo algorithm.

关键词: driven critical dynamics, scaling correction, quantum Monte Carlo

Abstract: Driven critical dynamics in quantum phase transitions holds significant theoretical importance, and also has practical applications in fast-developing quantum devices. While scaling corrections have been shown to play important roles in fully characterizing equilibrium quantum criticality, their impact on nonequilibrium critical dynamics has not been extensively explored. In this work, we investigate the driven critical dynamics in a two-dimensional quantum Heisenberg model. We find that in this model the scaling corrections arising from both finite system size and finite driving rate must be incorporated into the finite-time scaling form in order to properly describe the nonequilibrium scaling behaviors. In addition, improved scaling relations are obtained from the expansion of the full scaling form. We numerically verify these scaling forms and improved scaling relations for different starting states using the nonequilibrium quantum Monte Carlo algorithm.

Key words: driven critical dynamics, scaling correction, quantum Monte Carlo

中图分类号: (Dynamic properties?)

75.40.Gb

05.70.Jk (Critical point phenomena) 64.60.Ht (Dynamic critical phenomena) 75.40.Mg (Numerical simulation studies)

Jing-Wen Liu(刘静雯), Shuai Yin(阴帅), and Yu-Rong Shu(舒玉蓉). Scaling corrections in driven critical dynamics: Application to the two-dimensional dimerized quantum Heisenberg model[J]. 中国物理B, 2025, 34(5): 57502-057502.

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Scaling corrections in driven critical dynamics: Application to the two-dimensional dimerized quantum Heisenberg model

Scaling corrections in driven critical dynamics: Application to the two-dimensional dimerized quantum Heisenberg model

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