Supercomputing tensor networks for U(1) symmetric quantum many-body systems

• DOI: 10.48550/arxiv.2303.11409
• Publication Date: 2023-01-01
• Authors: Minzhao Liu; Changhun Oh; Junyu Liu; Liang Jiang; Yuri Alexeev
• Keywords: Computational Engineering, Finance, and Science (cs.CE); FOS: Computer and information sciences; Quantum Physics; FOS: Physical sciences; Computational Physics (physics.comp-ph); Computer Science - Computational Engineering, Finance, and Science; Quantum Physics (quant-ph); Physics - Computational Physics

Simulation of many-body systems is extremely computationally intensive, and tensor network schemes have long been used to make these tasks more tractable via approximation. Recently, algorithms that can exploit the inherent symmetries underlying quantum proposed further reduce computational complexity. One class systems, namely those exhibiting a global U(1) symmetry, especially interesting. We provide state-of-the-art, graphical processing unit-accelerated, highly parallel supercomputer implementation algorithm takes advantage opening up possibility wide range for future numerical investigations.