Sufficient condition for entanglement area laws in thermodynamically gapped spin systems.

Phys Rev Lett

School of Computational Sciences, Korea Institute for Advanced Study, Seoul 130-722, Korea.

Published: November 2014

We consider general locally interacting arbitrary-dimensional lattice spin systems that are gapped for any system size. We show under reasonable conditions that nondegenerate ground states of such systems obey the entanglement area law. In so doing, we offer an intuitive picture on how a spectral gap restricts the correlations that a ground state can accommodate and leads to such a special feature.

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http://dx.doi.org/10.1103/PhysRevLett.113.197204DOI Listing

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