矩阵乘积算子在长程相互作用系统建模中的应用
Applying matrix product operators to model systems with long-range interactions
摘要：
本文提出了一种算法，它计算一个无限一维系统的基态的矩阵不变乘积状态近似;它通过将站点嵌入到链的无限"环境“的近似中，允许站点放松，然后将它们与环境合并，以改进近似。通过使用矩阵乘积算子，我们的方法能够直接模拟任何长程相互作用，可以系统地近似一系列的衰减指数。我们应用我们的技术来计算的基态的Haldane-Shastry模型和目前的结果。
英文摘要：
An algorithm is presented which computes a translationally invariant matrix product state approximation of the ground state of an infinite 1D system; it does this by embedding sites into an approximation of the infinite ``environment'' of the chain, allowing the sites to relax, and then merging them with the environment in order to refine the approximation. By making use of matrix product operators, our approach is able to directly model any long-range interaction that can be systematically approximated by a series of decaying exponentials. We apply our techniques to compute the ground state of the Haldane-Shastry model and present results.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
