Icy tornadoes in the quantum world - Josephson junctions of Bose-Einstein condensates : a thesis presented in partial fulfilment of the requirements for the degree of Master of Science in Mathematical Physics at Centre for Theoretical Chemistry and Physics, New Zealand Institute for Advanced Study, Massey University, Albany, New Zealand

Simple item page
dc.contributor.authorJaritz, Gabriele
dc.date.accessioned2014-04-04T02:23:26Z
dc.date.available2014-04-04T02:23:26Z
dc.date.issued2012
dc.description.abstractThis thesis presents a theoretical study of ultra-cold gases in, or close to a Bose- Einstein condensed phase. A system of two coupled Bose-Einstein condensates shows strong resemblance to Josephson junctions, consisting of two superconductors linked via a thin insulating barrier. In these systems quantised ring currents across the barrier (Josephson vortices) have been detected. We concentrate on similar macroscopic quantum states in our systems of linear and annular coupled Bose-Einstein condensates, and test them towards their potential for showing macroscopic quantum tunnelling. For the linear system we present a very detailed stability analysis of the stationary solutions, the vortex and the soliton, using Bogoliubov-de Gennes theory. An analytic approximation of the unstable mode is provided. We show that the transition between vortices rotating in opposite directions is possible and propose an effective potential separating these two states. For the annular system of two coupled ring shaped condensates of different radii, we review the parameter regimes for finding vortices in the ground state. We show that pinning of vortices via a repulsive external potential is possible and suggest further steps towards the detection of macroscopic quantum tunnelling.en
dc.identifier.urihttp://hdl.handle.net/10179/5196
dc.language.isoenen
dc.publisherMassey Universityen_US
dc.rightsThe Authoren_US
dc.subjectBose-Einstein condensationen
dc.subjectJosephson junctionsen
dc.titleIcy tornadoes in the quantum world - Josephson junctions of Bose-Einstein condensates : a thesis presented in partial fulfilment of the requirements for the degree of Master of Science in Mathematical Physics at Centre for Theoretical Chemistry and Physics, New Zealand Institute for Advanced Study, Massey University, Albany, New Zealanden
dc.typeThesisen
massey.contributor.authorJaritz, Gabrieleen
thesis.degree.disciplineMathematical Physicsen
thesis.degree.grantorMassey Universityen
thesis.degree.levelMastersen
thesis.degree.nameMaster of Science (M.Sc.)en
Files
Original bundle
Now showing 1 - 2 of 2
Thumbnail Image
Name:
02_whole.pdf
Size:
688.69 KB
Format:
Adobe Portable Document Format
Description:
Download
Thumbnail Image
Name:
01_front.pdf
Size:
58.85 KB
Format:
Adobe Portable Document Format
Description:
Download
License bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
license.txt
Size:
804 B
Format:
Item-specific license agreed upon to submission
Description:
Download
Collections
Theses and Dissertations