Different lattice entanglement cuts at a (2+1)d O(3) quantum critical point realize distinct Rényi-defect universality classes, and the "extraordinary" cut undergoes an order-disorder transition as the Rényi index n is varied around n≈3–4.
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Low-energy states of local Hamiltonians have half-system entanglement entropies upper-bounded by the thermal entropies of two fictitious systems whose combined energies match the state's energy.
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Criticality on R\'enyi defects at (2+1)$d$ O(3) quantum critical points
Different lattice entanglement cuts at a (2+1)d O(3) quantum critical point realize distinct Rényi-defect universality classes, and the "extraordinary" cut undergoes an order-disorder transition as the Rényi index n is varied around n≈3–4.
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Quantum matter is weakly entangled at low energies
Low-energy states of local Hamiltonians have half-system entanglement entropies upper-bounded by the thermal entropies of two fictitious systems whose combined energies match the state's energy.
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