"Quantum Simulations: Classical digital vs. Quantum analog"
PHYSICS DEPARTMENT COLLOQUIUM
Quantum Simulations: Classical digital vs. Quantum analog Uli Schollwöck
Ludwig Maximilians Universität, Munich, Germany
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 an 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.
November 20, 2013 (Wednesday)