RT Journal Article
T1 Matrix product density operators: Renormalization fixed points and boundary theories
A1 Cirac, J. I.
A1 Pérez García, David
A1 Schuch, N.
A1 Verstraete, F.
AB We consider the tensors generating matrix product states and density operators in a spin chain. For pure states, we revise the renormalization procedure introduced in (Verstraete et al., 2005) and characterize the tensors corresponding to the fixed points. We relate them to the states possessing zero correlation length, saturation of the area law, as well as to those which generate ground states of local and commuting Hamiltonians. For mixed states, we introduce the concept of renormalization fixed points and characterize the corresponding tensors. We also relate them to concepts like finite correlation length, saturation of the area law, as well as to those which generate Gibbs states of local and commuting Hamiltonians. One of the main result of this work is that the resulting fixed points can be associated to the boundary theories of two-dimensional topological states, through the bulk-boundary correspondence introduced in (Cirac et al., 2011).
PB Elsevier Masson
SN 0003-4916
YR 2017
FD 2017
LK https://hdl.handle.net/20.500.14352/17714
UL https://hdl.handle.net/20.500.14352/17714
LA eng
NO National Science Foundation
DS Docta Complutense
RD 9 abr 2025