Dresden 2014 – scientific programme

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TT: Fachverband Tiefe Temperaturen

TT 84: Correlated Electrons: (General) Theory

TT 84.13: Talk

Thursday, April 3, 2014, 12:45–13:00, HSZ 304

Symmetry breaking with Projected Entangled Pair States — •Manuel Rispler and Norbert Schuch — Institute for Quantum Information, RWTH Aachen University, 52056 Aachen, Germany

Projected Entangled Pair States (PEPS) have been introduced as a two-dimensional generalization of Matrix Product States and form a part of the larger class of Tensor Network States, which parametrize quantum states according to their entanglement structure. In this talk, we explain how the mechanism of symmetry breaking can be understood in the framework of PEPS models. We give examples and illustrate how perturbations give rise to the symmetry broken states. We further discuss how this allows to understand the entanglement spectrum as arising from a local Hamiltonian on the boundary of the system.