RT Journal Article
T1 Resonating valence bond states in the PEPS formalism
A1 Schuch, Norbert
A1 Poilblanc, Didier
A1 Cirac, Juan I.
A1 Pérez García, David
AB We study resonating valence bond (RVB) states in the projected entangled pair states (PEPS) formalism. Based on symmetries in the PEPS description, we establish relations between the toric code state, the orthogonal dimer state, and the SU(2) singlet RVB state on the kagome lattice: We prove the equivalence of toric code and dimer state, and devise an interpolation between the dimer state and the RVB state. This interpolation corresponds to a continuous path in Hamiltonian space, proving that the RVB state is the fourfold degenerate ground state of a local Hamiltonian on the (finite) kagome lattice. We investigate this interpolation using numerical PEPS methods, studying the decay of correlation functions, the change of overlap, and the entanglement spectrum, none of which exhibits signs of a phase transition.
PB American Physical Society
SN 1098-0121
YR 2012
FD 2012-09
LK https://hdl.handle.net/20.500.14352/42347
UL https://hdl.handle.net/20.500.14352/42347
LA eng
NO Unión Europea. FP7
NO Comunidad de Madrid
NO Alexander von Humboldt Foundation
NO Caltech Institute for Quantum Information and Matter (an NSF Physics Frontiers Center)
NO Gordon and Betty Moore Foundation
NO NSF
NO Agence Nationale de la Recherche
NO DFG Forschergruppe
NO CALMIP (Toulouse)
NO Caixa Manresa
DS Docta Complutense
RD 17 abr 2025