title: Scattering resonances of ultracold atoms in confined geometries
creator: Saeidian, Shahpoor
subject: 530
subject: 530 Physics
description: Subject of this thesis is the investigation of the quantum dynamics of ultracold atoms in confined geometries.  We discuss the behavior of ground state atoms inside a quadrupole magnetic field.  Such atoms in enough weak magnetic fields can be approximately treated as neutral point-like particles.  Complementary to the well-known positive energy resonances, we point out the existence of short-lived negative energy resonances.  The latter originate from a fundamental symmetry of the underlying Hamiltonian.  We drive a mapping of the two branches of the spectrum.  Moreover, we analyze atomic hyperfine resonances in a magnetic quadrupole field.  This corresponds to the case for which both the hyperfine and Zeeman interaction, are comparable, and should be taken into account.  Finally we develop a general grid method for multichannel scattering of two atoms in a two-dimensional harmonic confienment.  With our approach we analyze transverse excitations/deexcitations in the course of the collisional process (distinguishable or identical atoms) including all important partial waves and their couplings due to the broken spherical symmetry.  Special attention is paid to suggest a non-trivial extension of the CIRs theory developed so far only for the single-mode regime and zero-energy limit.
date: 2008
type: Dissertation
type: info:eu-repo/semantics/doctoralThesis
type: NonPeerReviewed
format: application/pdf
identifier: https://archiv.ub.uni-heidelberg.de/volltextserverhttps://archiv.ub.uni-heidelberg.de/volltextserver/8515/1/Sh_S_PhD_thesis.pdf
identifier: DOI:10.11588/heidok.00008515
identifier: urn:nbn:de:bsz:16-opus-85151
identifier:   Saeidian, Shahpoor  (2008) Scattering resonances of ultracold atoms in confined geometries.  [Dissertation]     
relation: https://archiv.ub.uni-heidelberg.de/volltextserver/8515/
rights: info:eu-repo/semantics/openAccess
rights: http://archiv.ub.uni-heidelberg.de/volltextserver/help/license_urhg.html
language: eng