Tunneling Theory for Few-Body Systems in One-Dimensional Traps

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dc.contributor.authorLundmark, Rikard
dc.contributor.departmentChalmers tekniska högskola / Institutionen för fundamental fysiksv
dc.contributor.departmentChalmers University of Technology / Department of Fundamental Physicsen
dc.date.accessioned2019-07-03T13:23:26Z
dc.date.available2019-07-03T13:23:26Z
dc.date.issued2014
dc.description.abstractIn recent experiments, carried out at the University of Heidelberg, tunneling rates of ultracold distinguishable fermions out of an optomagnetical trap have been measured. The fermions interact by a tunable short-ranged interaction, and the trap is asymmetric making the trapped quantum system effectively one-dimensional. In this thesis, a method for calculating the energy levels and tunneling rates of one and two interacting particles out of a very general onedimensional potential well is devised. The method is based on expanding the Schr odinger equation of the system in a complex-momentum basis. This is done utilizing the so-called Berggren completeness relation. Ultimately, the basis expansion leads to a complex symmetric non-Hermitian eigenvalue problem for a large, dense matrix. The general method is applied to a system of trapped, ultracold fermionic atoms in a setup that closely resembles the Heidelberg experiments. The short-ranged interaction is modeled as a point-interaction, and the trap potential is regularized at large distances from the interesting region. The obtained energies and decay rates are contrasted to results obtained using the Wentzel-Kramers-Brillouin (WKB) approximation. Notable differences can be observed, and these may be due to insufficiency of the WKB approximation to accurately describe the system in question.
dc.identifier.urihttps://hdl.handle.net/20.500.12380/197684
dc.language.isoeng
dc.setspec.uppsokPhysicsChemistryMaths
dc.subjectGrundläggande vetenskaper
dc.subjectFysik
dc.subjectSubatomär fysik
dc.subjectKärnfysik
dc.subjectLågenergifysik
dc.subjectAtomfysik
dc.subjectLågtemperaturfysik
dc.subjectBeräkningsfysik
dc.subjectBasic Sciences
dc.subjectPhysical Sciences
dc.subjectSubatomic Physics
dc.subjectNuclear physics
dc.subjectLow energy physics
dc.subjectAtomic physics
dc.subjectLow temperature physics
dc.subjectComputational physics
dc.titleTunneling Theory for Few-Body Systems in One-Dimensional Traps
dc.type.degreeExamensarbete för masterexamensv
dc.type.degreeMaster Thesisen
dc.type.uppsokH
local.programmePhysics and astronomy (MPPAS), MSc
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