Matrix product decomposition and classical simulation of quantum dynamics in the presence of a symmetry
arXiv:cond-mat/0701427 · doi:10.1088/1367-2630/12/3/033029
Abstract
We propose a refined matrix product state representation for many-body quantum states that are invariant under SU(2) transformations, and indicate how to extend the time-evolving block decimation (TEBD) algorithm in order to simulate time evolution in an SU(2) invariant system. The resulting algorithm is tested in a critical quantum spin chain and shown to be significantly more efficient than the standard TEBD.
5 pages, 4 figures