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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Long-range interactions in the spin-one Heisenberg chain with anisotropy stabilize continuous symmetry breaking phases with logarithmic corrections to entanglement entropy and continuously varying critical exponents.
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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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Unconventional entanglement scaling and quantum criticality in the long-range spin-one Heisenberg chain with single-ion anisotropy
Long-range interactions in the spin-one Heisenberg chain with anisotropy stabilize continuous symmetry breaking phases with logarithmic corrections to entanglement entropy and continuously varying critical exponents.