RT Journal Article
T1 Topological order in the projected entangled-pair states formalism: transfer operator and boundary hamiltonians
A1 Schuch, Norbert
A1 Poilblanc, Didier
A1 Cirac, J.I.
A1 Pérez García, David
AB We study the structure of topological phases and their boundaries in the projected entangled-pair states (PEPS) formalism. We show how topological order in a system can be identified from the structure of the PEPS transfer operator and subsequently use these findings to analyze the structure of the boundary Hamiltonian, acting on the bond variables, which reflects the entanglement properties of the system. We find that in a topological phase, the boundary Hamiltonian consists of two parts: A universal nonlocal part which encodes the nature of the topological phase and a nonuniversal part which is local and inherits the symmetries of the topological model, which helps to infer the structure of the boundary Hamiltonian and thus possibly of the physical edge modes.
PB American Physical Society
SN 0031-9007
YR 2013
FD 2013
LK https://hdl.handle.net/20.500.14352/44010
UL https://hdl.handle.net/20.500.14352/44010
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 Exzellenzcluster NIM
NO DFG
NO Catalunya Caixa
DS Docta Complutense
RD 29 abr 2024