Quantum billiards in optical lattices

We study finite two-dimensional spin lattices with definite geometry ( spin billiards) demonstrating the display of collective integrable or chaotic dynamics depending on their shape. We show that such systems can be quantum simulated by ultra-cold atoms in optical lattices and discuss how to identify their dynamical features in a realistic experimental setup. Possible applications are the simulation of quantum information tasks in mesoscopic devices. Copyright (C) EPLA, 2009