Tensor-product representations for string-net condensed states
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Gu-2009-Tensor-product repre.pdf
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Author(s)
Gu, Zheng-Cheng
Levin, Michael
Swingle, Brian Gordon
Wen, Xiao-Gang
Date Issued
February 2009
Journal
Physical Review B
Publisher
American Physical Society
Citation
Gu, Zheng-Cheng et al. “Tensor-product representations for string-net condensed states.” Physical Review B 79.8 (2009): 085118. © 2009 The American Physical Society.
Version
Final published version
Abstract
We show that general string-net condensed states have a natural representation in terms of tensor product states (TPSs). These TPSs are built from local tensors. They can describe both states with short-range entanglement (such as the symmetry-breaking states) and states with long-range entanglement (such as string-net condensed states with topological/quantum order). The tensor product representation provides a kind of “mean-field” description for topologically ordered states and could be a powerful way to study quantum phase transitions between such states. As an attempt in this direction, we show that the constructed TPSs are fixed points under a certain wave-function renormalization-group transformation for quantum states.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
http://dx.doi.org/10.1103/PhysRevB.79.085118
