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Non-equilibrium vortex dynamics in rapidly rotating Bose-Einstein condensates
https://doi.org/10.15102/1394.00000165
https://doi.org/10.15102/1394.000001655ceec92d-7937-4038-81d3-b45d96cae903
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| Item type | 学位論文 / Thesis or Dissertation(1) | |||||||
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| PubDate | 2017-12-20 | |||||||
| Title | ||||||||
| Title | 急速に回転するボース・アインシュタイン凝縮体における非平衡な渦運動 | |||||||
| Language | ja | |||||||
| Title | ||||||||
| Title | Non-equilibrium vortex dynamics in rapidly rotating Bose-Einstein condensates | |||||||
| Language | en | |||||||
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| Language | eng | |||||||
| Resource Type | ||||||||
| Resource Type Identifier | http://purl.org/coar/resource_type/c_db06 | |||||||
| Resource Type | doctoral thesis | |||||||
| Identifier Registration | ||||||||
| Identifier Registration | 10.15102/1394.00000165 | |||||||
| Identifier Registration Type | JaLC | |||||||
| Access Right | ||||||||
| Access Rights | open access | |||||||
| Access Rights URI | http://purl.org/coar/access_right/c_abf2 | |||||||
| Author |
オリオーダン, リー ジェームス
× オリオーダン, リー ジェームス
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| Author |
O'Riordan, Lee James
× O'Riordan, Lee James
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| Abstract | ||||||||
| Description Type | Abstract | |||||||
| Description | This body of work examines the non-equilibrium dynamics of vortex lattice carrying Bose–Einstein condensates. We solve the mean-feld Gross–Pitaevskii equation for a two-dimensional pancake geometry, in the co-rotating frame within the limit of high rotation frequencies. The condensate responds to this by creating a large periodic lattice of vortices with 6-fold triangular symmetry. By applying two distinct perturbations to this lattice, we examine the resulting effects on the vortices during time evolution. The frst perturbation involves applying an optical potential with matching geometry to the vortex lattice. We observe the appearance of interference fringes, and we show that these can be described by moiré interference theory. This is backed up by a decomposition of the kinetic energy spectra of the condensate. The applied perturbation only modifes the condensate density, with the vortex positions largely unaffected. From this we conclude that the vortex lattice is very stable and robust against phononic disturbances. Next, by removing vortices at predefned positions in the lattice using phase imprinting techniques, we examine the resulting order of the lattice. By performing this we generate stable topological defects in the crystal structure. The resulting lattice remains highly ordered in the presence of low numbers of these defects, where crystal structure and order of the lattice shows to be highly robust. By varying the type of imprinted phases we can create controllable degrees of disorder in the lattice. This disorder is analysed using orientational correlations, Delaunay triangulation, and Voronoi diagrams of the vortex lattice, and demonstrates a method for examining order and generating disorder in vortex lattices in Bose–Einstein condensates. All work described makes extensive use of GPU computing techniques, and allows for the simulation of these systems to be realised in short times. The implementation of the calculations using GPU computing are also discussed, where the software is shown to be the fastest of its kind out of the independently tested software suites. |
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| Language | en | |||||||
| Exam Date | ||||||||
| 2017-01-13 | ||||||||
| Degree Conferral Date | ||||||||
| Date Granted | 2017-03-10 | |||||||
| Degree | ||||||||
| Degree Name | Doctor of Philosophy | |||||||
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| Dissertation Number | 甲第2号 | |||||||
| Degree Conferrral Institution | ||||||||
| Degree Grantor Name Identifier Scheme | kakenhi | |||||||
| Degree Grantor Name Identifier | 38005 | |||||||
| Degree Grantor Name | Okinawa Institute of Science and Technology Graduate University | |||||||
| Version Format | ||||||||
| Version Type | VoR | |||||||
| Version Type Resource | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |||||||
| Copyright Information | ||||||||
| Rights | © 2017 The Author | |||||||
