标题： 高维量子多体问题的高效张量网络假设 显示英文标题

标题： Efficient Tensor Network ansatz for high-dimensional quantum many-body problems

摘要： 我们引入了一种新的张量网络结构，增强了量子多体波函数的已建立的树张量网络表示。新结构在高维中满足面积定律，同时保持高效可操作性和可扩展性。我们将这种新方法与典型的二维自旋模型进行基准测试，展示了前所未有的精度和系统尺寸。最后，我们计算了光学镊子中二维晶格里德伯原子的基态相图，观察到非平凡相和量子相变，为当前和未来的二维量子模拟提供了现实的基准。 显示英文摘要

摘要： We introduce a novel tensor network structure augmenting the well-established Tree Tensor Network representation of a quantum many-body wave function. The new structure satisfies the area law in high dimensions remaining efficiently manipulatable and scalable. We benchmark this novel approach against paradigmatic two-dimensional spin models demonstrating unprecedented precision and system sizes. Finally, we compute the ground state phase diagram of two-dimensional lattice Rydberg atoms in optical tweezers observing non-trivial phases and quantum phase transitions, providing realistic benchmarks for current and future two-dimensional quantum simulations.