Tensor-product representations for string-net condensed states

Details Tensor-product representations for string-net condensed states Tensor-product representations for string-net condensed states

2008-09-16

arxiv.org/abs/0809.2821v1

Phys. Rev. B 79, 085118 (2009)

Physics

Condensed Matter

Strongly Correlated Electrons

11 pages. RevTeX4

Scientific paper

10.1103/PhysRevB.79.085118

We show that general string-net condensed states have a natural representation in terms of tensor product states (TPS) . These TPS's 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 TPS's are fixed-points under a certain wave-function renormalization group transformation for quantum states.

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