Quantum Simulation: Classical Digital versus Quantum analog
Wednesday, 14 Jan. 2015, 10:50 - Sat, 17 Jan. 2015, 10:50
Presenter: Ulrich Schollwöck
Host: J. Schmiedmayer
Where: Atominstitut - Stadionallee 2 - Vienna 2
For many decades, the exact quantum dynamics of many-body quantum systems far from equilibrium has proven to be elusive for physicists. To make progress, Feynman proposed in 1982 to build "quantum simulators" where one quantum system under excellent control provides a quantum analog for another quantum system that is not understood. The first such quantum simulators have been realized in recent years due to the breathtaking progress in ultracold atomic gases in optical lattices. At the same time, progress in quantum information theory and in many-body statistical physics has provided us with quasi-exact numerical methods that allow in certain cases the simulation of that quantum dynamics on a classical digital computer. In this talk I want to give an introduction to both kinds of quantum simulation, their possibilities and inherent limitations, and show how both approaches can be understood to be complementary and combined to give highly precise and previously unavailable insights into the non-equilibrium behaviour of strongly interacting quantum many-body systems, focussing on relaxation and expansion dynamics.