RT Journal Article
T1 Characterizing symmetries in a projected entangled pair state
A1 Pérez García, David
A1 Sanz, M.
A1 González-Guillén, C.M.
A1 Wolf, M.M.
A1 Cirac, J.I.
AB We show that two different tensors defining the same translational invariant injective projected entangled pair state (PEPS) in a square lattice must be the same up to a trivial gauge freedom. This allows us to characterize the existence of any local or spatial symmetry in the state. As an application of these results we prove that a SU(2) invariant PEPS with half-integer spin cannot be injective, which can be seen as a Lieb-Shultz-Mattis theorem in this context. We also give the natural generalization for U(1) symmetry in the spirit of Oshikawa-Yamanaka-Affleck, and show that a PEPS with Wilson loops cannot be injective.
PB IOP
SN 1367-2630
YR 2010
FD 2010
LK https://hdl.handle.net/20.500.14352/42478
UL https://hdl.handle.net/20.500.14352/42478
LA eng
NO QCCC Program of the EliteNetzWerk Bayern
NO DFG (FOR 635, MAP and NIM)
NO Danish Natural Science Research Council(FNU)
NO QUANTOP
DS Docta Complutense
RD 20 abr 2025