Matrix product decomposition and classical simulation of quantum dynamics in the presence of a symmetry

Details Matrix product decomposition and classical simulation of quantum dynamics in the presence of a symmetry Matrix product decomposition and classical simulation of quantum dynamics in the presence of a symmetry

2007-01-18

arxiv.org/abs/cond-mat/0701427v1

New J. Phys. 12 (2010) 033029

Physics

Condensed Matter

Strongly Correlated Electrons

5 pages, 4 figures

Scientific paper

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.

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