Spatial reflection and renormalization group flow of quantum many-body systems with matrix product state representation

Details Spatial reflection and renormalization group flow of quantum many-body systems with matrix product state representation Spatial reflection and renormalization group flow of quantum many-body systems with matrix product state representation

2007-07-28

arxiv.org/abs/0707.4223v2

EPL, 82 (2008) 40003

Physics

Quantum Physics

updated version, accepted by Europhys. Lett.

Scientific paper

10.1209/0295-5075/82/40003

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.

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