Entanglement entropy of 2D conformal quantum critical points: Hearing the shape of a quantum drum

Eduardo Fradkin, Joel E. Moore

Research output: Contribution to journalArticlepeer-review

Abstract

The entanglement entropy of a pure quantum state of a bipartite system A∪B is defined as the von Neumann entropy of the reduced density matrix obtained by tracing over one of the two parts. In one dimension, the entanglement of critical ground states diverges logarithmically in the subsystem size, with a universal coefficient that for conformally invariant critical points is related to the central charge of the conformal field theory. We find that the entanglement entropy of a standard class of z=2 conformal quantum critical points in two spatial dimensions, in addition to a nonuniversal "area law" contribution linear in the size of the AB boundary, generically has a universal logarithmically divergent correction, which is completely determined by the geometry of the partition and by the central charge of the field theory that describes the critical wave function.

Original languageEnglish (US)
Article number050404
JournalPhysical review letters
Volume97
Issue number5
DOIs
StatePublished - 2006

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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