Tuesday, February 7, 2012

1202.0947 (Didier Poilblanc et al.)

Entanglement and boundary theories of Resonating Valence Bond
wavefunctions
   [PDF]

Didier Poilblanc, Norbert Schuch, David Pérez-García, J. Ignacio Cirac
We investigate the relations between the bulk and boundaries properties of
short-range resonating valence bond wave functions using Projected Entangled
Pair States. We find a gapless (gapped) entanglement spectrum for kagome
(square) lattices, which reflects the properties of the edge modes rather than
those of the bulk correlations. We also derive the topological entropy and show
that the topological nature of the wave function manifests itself in a
non-local many-body boundary Hamiltonian which we identify completely. We
propose to use this feature as a probe to identify topological phases in
microscopic Hamiltonians.
View original: http://arxiv.org/abs/1202.0947

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