论文标题
高维量子多体问题的有效张量网络ANSATZ
Efficient Tensor Network ansatz for high-dimensional quantum many-body problems
论文作者
论文摘要
我们引入了一种新型的张量网络结构，增强了量子多体波函数的良好树张量网络表示。新的结构在高维度上满足该地区法律，保持有效的操纵和可扩展性。我们针对范式的二维自旋模型基准了这种新颖的方法，该模型证明了前所未有的精度和系统尺寸。最后，我们计算光学镊子中二维晶格rydberg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仿真提供了现实的基准。
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.
