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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Numerical evidence shows multiple Rényi defect universality classes at O(3) quantum critical points depending on entanglement cut type, with a possible phase transition on the defect for extraordinary cuts as the Rényi index varies.
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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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Criticality on R\'enyi defects at (2+1)$d$ O(3) quantum critical points
Numerical evidence shows multiple Rényi defect universality classes at O(3) quantum critical points depending on entanglement cut type, with a possible phase transition on the defect for extraordinary cuts as the Rényi index varies.