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SYLG: Symposium Quantum Simulators of Lattice Gauge Theories

SYLG 1: Symposium Quantum Simulators of Lattice Gauge Theories

SYLG 1.1: Invited Talk

Friday, March 10, 2017, 11:00–11:30, P 1

Quantum Simulation of Lattice Gauge Theories with Cold Atoms and Ions — •Peter Zoller — Institute for Theoretical Physics, University of Innsbruck, and Institute for Quantum Optics and Quantum Information, Austrian Academy of Sciences, Innsbruck, Austria

We review recent theory proposals and experimental advances in quantum simulation of lattice gauge theories with quantum optical systems of cold atoms and ions, both from the perspective of condensed matter and high energy physics [1,2]. Our discussion starts with the lattice Schwinger model as 1+1 dimensional lattice QED, where we illustrate the challenge of implementing gauge invariance and the associated local conservation laws (Gauss laws) in cold atom implementations. We discuss analog and digital quantum simulation of the lattice Schwinger model both in a Wilson and quantum link formulation, and summarize recent experimental results [3] on real-time evolution of the Schwinger mechanism of spontaneous creation of electron-positron pairs on a few qubit ion trap quantum computer. In addition, we extend our discussion to quantum simulation of non-Abelian lattice gauge theories realized with atoms in optical lattices, and provide illustrations of simple models of quantum simulation of "nuclear physics".

[1] U.-J. Wiese, Annalen der Physik 525, 777 (2013) [2] E. Zohar, J.I. Cirac and B. Reznik, Rep. Prog. Phys. 79, 014401 (2015) [3] E. A. Martinez, C. A. Muschik, P. Schindler, D. Nigg, A. Erhard, M. Heyl, P. Hauke, M. Dalmonte, T. Monz, P. Zoller and R. Blatt, Nature 534, 516 (2016)