Norbert Schuch: Topological Phase Transitions in Tensor Networks: A Holographic Perspective
0Norbert Schuch (Aachen University)
Topological Phase Transitions in Tensor Networks: A Holographic Perspective
QuICS Workshop on the Frontiers of Quantum Information and Computer Science (October 1, 2015)
We investigate topological phases and phase transitions in the framework of tensor network models. We discuss the role of symmetries in this description, and show how it allows to relate topological phases and transitions between them to symmetry broken and symmetry protected phases exhibited by the transfer operator of the system, i.e., at the boundary.
We will also discuss how topological excitations in the 2D bulk and can be understood as domain wall excitations, order parameters, and string order parameters of the symmetry broken or symmetry protected 1D boundary, respectively, and show that this yields a natural holographic picture for topological phase transitions induced by condensation and confinement of anyons.