ABSTRACT

Valentin Murg Max-Planck-Institut fu¨r Quantenoptik, Hans-Kopfermann-Str. 1, D-85748 Garching, Germany

Ignacio Cirac Max-Planck-Institut fu¨r Quantenoptik, Hans-Kopfermann-Str. 1, D-85748 Garching, Germany

Frank Verstraete Fakulta¨t fu¨r Physik, Universita¨t Wien, Boltzmanngasse 5, A-1090 Wien, Austria

The formulation of renormalization group methods in terms of matrix product states (MPS) has the big advantage that it allows one to describe time evolution. This opens up the possibility of simulating the non-equilibrium properties of spin chains, a topic that is currently very relevant given the recent breakthroughs in creating strongly-correlated quantum spin systems, for example in optical lattices [1].