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Berlin 2005 – scientific programme

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Q: Quantenoptik und Photonik

Q 2: Poster Quantengase

Q 2.10: Poster

Friday, March 4, 2005, 11:00–12:30, Poster HU

Spectral Properties and Lifetimes of Neutral Fermions and Bosons in Magnetic Quadrupole Traps — •Igor Lesanovsky1 und Peter Schmelcher1,21Physikalisches Institut, Universität Heidelberg, Philosophenweg 12, 69120 Heidelberg, Germany — 2Theoretische Chemie, Institut für Physikalische Chemie,Universität Heidelberg, INF 229, 69120 Heidelberg, Germany

Inhomogeneous magnetic fields are widely used in order to confine and control the motion of neutral atoms. We investigate the resonant motion of neutral particles of spin 1 and spin 1/2 in such magnetic traps. In particular we focus on the sideguide, the Ioffe-Pritchard trap and the three-dimensional quadrupole trap. Inspecting the underlying Hamiltonians a variety of symmetries is revealed eventually giving rise to a two-fold degeneracy of the energy levels. In order to compute the energies and lifetimes of a large number of resonances the complex scaling method is employed. We comment on how the lifetime of a trapped particle depends on its angular momentum. Thereby we state under which conditions quasi-bound states which possess long lifetimes can be achieved. An effective scalar Schrödinger equation describing such states is derived.

Reference: [1] I. Lesanovsky and P. Schmelcher, physics/0411079

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