长程哈密顿量周期边界条件下的高效MPO构造：应用于多体动力学
Efficient MPO Construction for Long-Range Hamiltonians with Periodic Boundary Conditions: Application to Many-Body Dynamics
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中文总结 AI 辅助
本文提出一种高效MPO构造方法，通过额外传播通道嵌入周期边界条件，结合TDVP模拟自旋链淬火动力学，数值验证与四阶龙格-库塔法高度一致，为周期有限程系统多体模拟提供实用途径。
中文摘要 AI 辅助
矩阵乘积算符（MPO）是量子多体动力学张量网络模拟中的基本组成部分。我们采用一种MPO构造方法，通过引入额外的传播通道，将周期边界条件和有限程耦合直接嵌入到开放边界MPO中。我们将此构造应用于含时变分原理（TDVP）框架内，模拟具有有限程相互作用的自旋-1/2链中的淬火动力学，并将结果与四阶龙格-库塔方法进行数值基准比较，发现单体和两体可观测量均高度吻合。该方法为周期有限程系统中多体动力学的张量网络模拟提供了一条实用途径。
英文摘要
Matrix product operator (MPO) serves as a fundamental component in tensor network simulations of quantum many-body dynamics. We employ an MPO construction that introduces additional propagation channels to embed both periodic boundary conditions and finite-range couplings directly into an open boundary MPO. We apply this construction within the time-dependent variational principle (TDVP) framework to simulate quench dynamics in a spin-1/2 chain with finite-range interactions, and benchmark the results numerically against the fourth-order Runge-Kutta method, finding excellent agreement for both single-body and two-body observables. The approach offers a practical route for tensor network simulations of many-body dynamics in periodic finite-range systems.
发表机构
- Wuhan University of Technology（武汉理工大学）
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