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.
Oriana Diessel completed her doctorate in Richard Schmidt's independent research group. Her theoretical work focusses on two special features of many-body systems: so-called "polarons" and previously unknown phase transitions in light-matter systems. In her work, Oriana Diessel developed models to theoretically describe the two phenomena, thereby providing a further building block for our understanding of quantum many-body theory.
Being elected as a member of the National Academy of Sciences is regarded as one of the most distinguished honours a scientist can receive. While the majority of members hold U.S. citizenship, up to 30 international members are elected annually. NAS members are “charged with providing independent, objective advice on matters related to science and technology”.
Theorists in the research group of Mari Carmen Bañuls at MPQ have come one step closer to understanding the evolution of quantum many body systems over time. In their work, recently published in the specialized journal Physical Review Letters, they formulated an algorithm to simulate the dynamics of quantum systems consisting of many particles out of equilibrium – a notoriously difficult task.
Dr Bañuls, group leader in the Theory Department at MPQ, has earned special recognition in her many years of excellent research of complex quantum systems, and is now starting her own W2 research group. Her research focuses on the development and application of tensor network methods for the numerical simulation of quantum many-body systems and quantum dynamic phenomena beyond equilibrium.
His work on the principles and applications of quantum physics, such as in quantum information theory or the simulation of complex many-body systems, as well as his overall scientific achievements would contribute to revolutionising the world as we know it today, explained the university. It is the ninth honorary doctorate that Ignacio Cirac has been awarded to date.