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Friday, October 6, 2000
Physics Building, Room 204
Note special time.
Professor Marvin Girardeau
[Host: Eugene Kolomeisky]
University of Arizona
"Theory of de Broglie Waveguides"
Several experimental groups have recently succeeded in constructing
quasi-one-dimensional (1D) atom waveguides and loading them with
Bose-Einstein condensates of ultracold atomic vapors. An important
motivation for such studies is the goal of constructing atomic de Broglie
wave beam splitters and interferometers for ultrasensitive detection
of very weak accelerations and gravitational perturbations. This talk
will discuss the many-body Schrodinger dynamics of 1D systems of
impenetrable bosons, which is exactly soluble via an exact mapping from
an ideal Fermi gas to a strongly interacting Bose gas of impenetrable
point particles. After description of some completed work
on such systems in 1D toroidal geometries and harmonic traps,
some work in progress will be described, concerned with a generalization
to a model of a de Broglie beam splitter/interferometer using two
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