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
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.
Fund: 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).
Corresponding Authors:
Yu-Rong Shu
E-mail: yrshu@gzhu.edu.cn
Cite this article:
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 2025 Chin. Phys. B 34 057502
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