Laplace-Beltrami models and low-temperature chaos
Jorge Kurchan, ENS Paris
(ongoing work with Silvia Pappalardi)
We have been studying simple quantum models of a particle moving freely on a curved surface. Such models have chaos due to curvature, that extends to low temperature because there is no localizing potential. Chaos is ultimately limited by quantum effects that are interesting and may be understood. Our project is to extend this study to macroscopic antiferromagents (e.g. spin-ice models) that may be also seen as free propagation (quantum mechanically, a Laplace-Beltrami Hamiltonian) on a rugged manifold in $ \propto N$ dimensions.