Spatial reflection and renormalization group flow of quantum many-body systems with matrix product state representation
Quantum Physics
2011-08-08 v2 Statistical Mechanics
Abstract
The property of quantum many-body systems under spatial reflection and the relevant physics of renormalization group (RG) procedure are revealed. By virtue of the matrix product state (MPS) representation, various attributes for translational invariant systems associated with spatial reflection are manifested. We demonstrate subsequently a conservation rule of the conjugative relation for reflectional MPS pairs under RG transformations and illustrate further the property of the fixed points of RG flows. Finally, we show that a similar rule exists with respect to the target states in the density matrix renormalization group algorithm.
Keywords
Cite
@article{arxiv.0707.4223,
title = {Spatial reflection and renormalization group flow of quantum many-body systems with matrix product state representation},
author = {Li-Xiang Cen and Z. D. Wang},
journal= {arXiv preprint arXiv:0707.4223},
year = {2011}
}
Comments
updated version, accepted by Europhys. Lett.