Condensation and stability of topological order in tensor networks

Dominic Williamson (U Sydney)

Oct 05. 2022, 14:00 — 14:45

Quantum topological order is known to be stable to Hamiltonian perturbations at zero temperature. However, tensor network representations of ground states with topological order in two spatial dimensions are known to be unstable to local pertubations of the tensors. I will highlight a connection between the stability of topological order in tensor networks and the condensation of certain topological excitations that are determined by the choice of local tensor. Using this correspondence I will argue that the topological order in certain tensor network representations of three dimensional discrete gauge theories is stable. 

Further Information
ESI Boltzmann Lecture Hall
Associated Event:
Tensor Networks: Mathematical Structures and Novel Algorithms (Thematic Programme)
Frank Pollmann (TU Munich)
Norbert Schuch (U of Vienna)
Frank Verstraete (Ghent U)