RT Journal Article
T1 PEPS as ground states: degeneracy and topology
A1 Schuch, Norbert
A1 Pérez García, David
A1 Cirac, Ignacio
AB We introduce a framework for characterizing Matrix Product States (MPS) and Projected Entangled Pair States (PEPS) in terms of symmetries. This allows us to understand how PEPS appear as ground states of local Hamiltonians with finitely degenerate ground states and to characterize the ground state subspace. Subsequently, we apply our framework to show how the topological properties of these ground states can be explained solely from the symmetry: We prove that ground states are locally indistinguishable and can be transformed into each other by acting on a restricted region, we explain the origin of the topological entropy, and we discuss how to renormalize these states based on their symmetries. Finally, we show how the anyonic character of excitations can be understood as a consequence of the underlying symmetries.
SN 0003-4916
YR 2010
FD 2010
LK https://hdl.handle.net/20.500.14352/41900
UL https://hdl.handle.net/20.500.14352/41900
LA eng
NO Unión Europea. FP7
NO DFG Forschergruppe 635
NO Gordon and Betty Moore Foundation through Caltech’s Center for the Physics of Information
NO National Science Foundation
DS Docta Complutense
RD 6 abr 2025