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Area law for the entropy of low-energy states
Physical Review A. Atomic, Molecular, and Optical Physics
It is often observed in the ground state of spatially-extended quantum systems with local interactions that the entropy of a large region is proportional to its surface area. In some cases, this area law is corrected with a logarithmic factor. This contrasts with the fact that in almost all states of the Hilbert space, the entropy of a region is proportional to its volume. This paper shows that low-energy states have (at most) an area law with the logarithmic correction, provided two conditionsdoi:10.1103/physreva.80.052104 fatcat:y6qd6thwqjc3fbqrw5jfhbgbbu