Li Youning, Huang Junfeng, Zhang Chao, Li Jun
College of Science, China Agriculture University, Beijing 100083, China.
Department of Physics, The Hong Kong University of Science and Technology, Clear Water Bay, Kowloon, Hong Kong, China.
Entropy (Basel). 2024 Dec 14;26(12):1094. doi: 10.3390/e26121094.
This work presents a perturbational decomposition method for simulating quantum evolution under the one-dimensional Ising model with both longitudinal and transverse fields. By treating the transverse field terms as perturbations in the expansion, our approach is particularly effective in systems with moderate longitudinal fields and weak to moderate transverse fields relative to the coupling strength. Through systematic numerical exploration, we characterize parameter regimes and evolution time windows where the decomposition achieves measurable improvements over conventional Trotter decomposition methods. The developed perturbational approach and its characterized parameter space may provide practical guidance for choosing appropriate simulation strategies in different parameter regimes of the one-dimensional Ising model.
本文提出了一种微扰分解方法，用于模拟具有纵向和横向场的一维伊辛模型下的量子演化。通过将横向场项视为展开式中的微扰，我们的方法在纵向场适中且横向场相对于耦合强度较弱至适中的系统中特别有效。通过系统的数值探索，我们刻画了参数区域和演化时间窗口，在这些区域中，该分解方法相对于传统的 Trotter 分解方法有可测量的改进。所开发的微扰方法及其刻画的参数空间可为在一维伊辛模型的不同参数区域中选择合适的模拟策略提供实际指导。
