We simulate a zero-temperature pure Z3 Lattice Gauge Theory in 2+1 dimensions by using an iPEPS (Infinite Projected Entangled-Pair State) ansatz for the ground state. Our results are therefore directly valid in the thermodynamic limit. They clearly show two distinct phases separated by a phase transition. We introduce an update strategy that enables plaquette terms and Gauss-law constraints to be applied as sequences of two-body operators. This allows the use of the most up-to-date iPEPS algorithms. From the calculation of spatial Wilson loops we are able to prove the existence of a confined phase. We show that with relatively low computational cost it is possible to reproduce crucial features of gauge theories. We expect that the strategy allows the extension of iPEPS studies to more general LGTs.
Komplexe Quantensysteme sind wissenschaftlich schwer zu beschreiben. Mari Carmen Bañuls entwickelt mathematische Theorien weiter, mit denen sich spezifische Quantenzustände - beispielsweise in Hochtemperatur-Supraleitern oder in Quantencomputern - simulieren lassen. So finden quantenphysikalische Eigenschaften der Materie Einzug in technische Anwendungen. Mehr über Mari Carmen Bañuls und ihre Arbeit am MPQ im folgenden Portrait.
