We discuss a recently demonstrated type of microwave spectroscopy of trapped ultra-cold atoms known as "echo spectroscopy" [M.F. Andersen et. al., Phys. Rev. Lett., in press (2002)]. 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.
@article{arxiv.quant-ph/0212011,
title = {Echo spectroscopy and Atom Optics Billiards},
author = {M. F. Andersen and A. Kaplan and T. Grünzweig and N. Davidson},
journal= {arXiv preprint arXiv:quant-ph/0212011},
year = {2016}
}