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Tensor-product representations for string-net condensed states
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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.
Forward citations
Cited by 2 Pith papers
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String-Membrane-Nets from Higher-Form Gauging: An Alternate Route to $p$-String Condensation
Gauging a diagonal 1-form symmetry of stacked 2+1D topological orders implements p-string condensation, yielding 3+1D fracton phases such as the X-Cube and string-membrane-net models.
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ASEP/DSSYK duality and strange correlator
Moments of the DSSYK transfer matrix equal an ASEP stationary-product state overlap, presented as analogous to the strange correlator in topological state-sum models.
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