Time Propagation of Many-Body Quantum States on Graphics Processing Units

摘要

We demonstrate the effectiveness of graphics processing units (GPU) in computing the time evolution of a many-body quantum state. We study the Hubbard model with exact diagonalization. We discretize the time into small steps and expand the time evolution operator into a Taylor series. An algorithm for calculating the time evolution on a GPU is given and tested on a 1D lattice to observe spin-charge separation.