Echo
spectroscopy and atom optics billiards
M. F. Andersen, A. Kaplan, T.
Grünzweig and N. Davidson
Department of Physics of Complex Systems, Weizmann Institute of Science,
Rehovot 76100, Israel
We discuss a recently demonstrated type of microwave spectroscopy of trapped
ultra-cold atoms known as "echo spectroscopy" [Phys. Rev. Lett.,
2003;90:023001[1]–[4]]. Echo spectroscopy can serve as an extremely sensitive
experimental tool for investigating quantum dynamics of trapped atoms even when
a large number of states are thermally populated. We show numerical results for
the stability of eigenstates of an atom-optics billiard of the Bunimovich type,
and discuss its behavior under different types of perturbations. Finally, we
propose to use special geometrical constructions to make a dephasing free
dipole trap. Copyright © 2003 Elsevier B.V. All
rights reserved.