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.
Professor Ignacio Cirac, head of the Theory Group at the Max Planck Institute of Quantum Optics, is one of ten winners in the Physical Sciences category of this year's Falling Walls Award. The Falling Walls Foundation jury was impressed by the outstanding quality and relevance of Ignacio Cirac's research.
Fabian Kugler, former doctoral student in the MPQ Theory Division, receives the Otto-Hahn Medal of the Max Planck Society. The award was established in 1978 and honours up to 30 young scientists per year for outstanding doctoral research.