Bifurcating subsystem symmetric entanglement renormalization in two dimensions

• URL: http://arxiv.org/abs/2010.15124v2
• Date: Thu, 5 Nov 2020 00:58:53 GMT
• Title: Bifurcating subsystem symmetric entanglement renormalization in two dimensions
• Authors: Jonathan San Miguel, Arpit Dua, Dominic Williamson
• Abstract summary: We study bifurcating flows generated by linear and fractal subsystem symmetry-protected topological phases. We classify all bifurcating fixed points that are given by subsystem symmetric cluster states with two qubits per unit cell.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We introduce the subsystem symmetry-preserving real-space entanglement renormalization group and apply it to study bifurcating flows generated by linear and fractal subsystem symmetry-protected topological phases in two spatial dimensions. We classify all bifurcating fixed points that are given by subsystem symmetric cluster states with two qubits per unit cell. In particular, we find that the square lattice cluster state is a quotient-bifurcating fixed point, while the cluster states derived from Yoshida's first order fractal spin liquid models are self-bifurcating fixed points. We discuss the relevance of bifurcating subsystem symmetry-preserving renormalization group fixed points for the classification and equivalence of subsystem symmetry-protected topological phases.

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