For finite-range bounded interactions of fixed local dimension on any finite induced subgraph of the square lattice, a unique ground state separated by a uniform global spectral gap has entanglement entropy at most C times the crossing-edge boundary size for every set of sites.
For finite-range bounded interactions of fixed local dimension on any finite induced subgraph of the square lattice, a unique ground state separated by a uniform global spectral gap has entanglement entropy at most C times the crossing-edge boundary size for every set of sites.
For finite-range bounded interactions of fixed local dimension on any finite induced subgraph of the square lattice, a unique ground state separated by a uniform global spectral gap has entanglement entropy at most C times the crossing-edge boundary size for every set of sites.
If correct, establishes a uniform entanglement area law for the stated broad class of two-dimensional gapped lattice Hamiltonians.
Does a global gap force an area law for two-dimensional lattice ground states?
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