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Quantum Simulation

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

arXiv
Authors: Li-Xiang Cen, Z. D. Wang

Year

2007

Paper ID

49532

Status

Preprint

Abstract Read

~2 min

Abstract Words

91

Citations

N/A

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.

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  • This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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  • The property of quantum many-body systems under spatial reflection and the relevant physics of renormalization group (RG) procedure are revealed.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:0707.4223 [2] arXiv https://arxiv.org/abs/0707.4223 [3] Publisher https://arxiv.org/abs/0707.4223

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