Jahromi Saeed S, Orús Román
Donostia International Physics Center, Paseo Manuel de Lardizabal 4, 20018, San Sebastián, Spain.
Ikerbasque Foundation for Science, Maria Diaz de Haro 3, 48013, Bilbao, Spain.
Sci Rep. 2020 Nov 4;10(1):19051. doi: 10.1038/s41598-020-75548-x.
Ultracold atoms in optical lattices are one of the most promising experimental setups to simulate strongly correlated systems. However, efficient numerical algorithms able to benchmark experiments at low-temperatures in interesting 3d lattices are lacking. To this aim, here we introduce an efficient tensor network algorithm to accurately simulate thermal states of local Hamiltonians in any infinite lattice, and in any dimension. We apply the method to simulate thermal bosons in optical lattices. In particular, we study the physics of the (soft-core and hard-core) Bose-Hubbard model on the infinite pyrochlore and cubic lattices with unprecedented accuracy. Our technique is therefore an ideal tool to benchmark realistic and interesting optical-lattice experiments.
光学晶格中的超冷原子是模拟强关联系统最有前景的实验装置之一。然而，目前缺乏能够在有趣的三维晶格中对低温实验进行基准测试的高效数值算法。为此，我们在此引入一种高效的张量网络算法，以精确模拟任何无限晶格、任何维度下局部哈密顿量的热态。我们应用该方法来模拟光学晶格中的热玻色子。特别是，我们以前所未有的精度研究了无限焦绿石晶格和立方晶格上（软核和硬核）玻色 - 哈伯德模型的物理性质。因此，我们的技术是对现实且有趣的光学晶格实验进行基准测试的理想工具。
