Condensed Matter Seminar Series
Quantum Chaos and Atom Optics: From Experiments to Number Theory
Shmuel Fishman
Technion
Thursday October 7, 11:00 am, Room 234, Physics Building
Host: Denis Ullmo
Abstract:
Resonances are among the most typical manifestations of quantum mechanical
behavior and are very sensitive to values of parameters (for example in
standard atomic spectroscopy). Recently resonances, that are stable with
respect to variation of parameters, were discovered experimentally for the
dynamics of laser cooled Cesium atoms when driven in the presence of
gravity. A theoretical explanation of this surprising observation will be
presented. Further theoretical predictions that were verified
experimentally will be presented as well. In particular it is found that
the experimental results depend the number theoretical properties of the
values of parameters. The theory makes use of invariance properties of the
system, that are similar to the ones of solids, as well as of the theory
of dynamical systems.