Quantum billiards in optical latticesS. Montangero1, 2, D. Frustaglia3, T. Calarco2, 4 and R. Fazio1
1 NEST-CNR-INFM & Scuola Normale Superiore - Piazza dei Cavalieri 7, I-56126 Pisa, Italy, EU
2 Institute for Quantum Information Processing, University of Ulm - D-89069 Ulm, Germany, EU
3 Departamento de Física Aplicada II, Universidad de Sevilla - E-41012 Sevilla, Spain, EU
4 European Center for Theoretical Studies in Nuclear Physics and Related Areas - I-38050 Villazzano (TN), Italy, EU
received 23 April 2009; accepted in final form 19 October 2009; published November 2009
published online 16 November 2009
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.
05.45.Mt - Quantum chaos; semiclassical methods.
03.67.-a - Quantum information.
37.10.Jk - Atoms in optical lattices.
© EPLA 2009