Superfluid flow past an obstacle in annular Bose–Einstein condensates
We investigate the flow of a one-dimensional nonlinear Schroedinger model with periodic boundary conditions past an obstacle, motivated by recent experiments with Bose-Einstein condensates in ring traps. Above certain rotation velocities, localized solutions with a nontrivial phase profile appear. I...
| Main Authors: | , , , , , , |
|---|---|
| Format: | Article |
| Published: |
Institute of Physics
2016
|
| Online Access: | https://eprints.nottingham.ac.uk/39468/ |
| _version_ | 1848795843548676096 |
|---|---|
| author | Syafwan, M. Kevrekidis, P. Paris-Mandoki, A. Lesanovsky, I. Kruger, Peter Hackermuller, L. Susanto, H. |
| author_facet | Syafwan, M. Kevrekidis, P. Paris-Mandoki, A. Lesanovsky, I. Kruger, Peter Hackermuller, L. Susanto, H. |
| author_sort | Syafwan, M. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | We investigate the flow of a one-dimensional nonlinear Schroedinger model with periodic boundary conditions past an obstacle, motivated by recent experiments with Bose-Einstein condensates in ring traps. Above certain rotation velocities, localized solutions with a nontrivial phase profile appear. In striking difference from the infinite domain, in this case there are many critical velocities. At each critical velocity, the steady flow solutions disappear in a saddle-center bifurcation. These interconnected branches of the bifurcation diagram lead to additions of circulation quanta to the phase of the associated solution. This, in turn, relates to the manifestation of persistent current in numerous recent experimental and theoretical works, the connections to which we touch upon. The complex dynamics of the identified waveforms and the instability of unstable solution branches are demonstrated. |
| first_indexed | 2025-11-14T19:38:32Z |
| format | Article |
| id | nottingham-39468 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:38:32Z |
| publishDate | 2016 |
| publisher | Institute of Physics |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-394682020-05-04T18:26:00Z https://eprints.nottingham.ac.uk/39468/ Superfluid flow past an obstacle in annular Bose–Einstein condensates Syafwan, M. Kevrekidis, P. Paris-Mandoki, A. Lesanovsky, I. Kruger, Peter Hackermuller, L. Susanto, H. We investigate the flow of a one-dimensional nonlinear Schroedinger model with periodic boundary conditions past an obstacle, motivated by recent experiments with Bose-Einstein condensates in ring traps. Above certain rotation velocities, localized solutions with a nontrivial phase profile appear. In striking difference from the infinite domain, in this case there are many critical velocities. At each critical velocity, the steady flow solutions disappear in a saddle-center bifurcation. These interconnected branches of the bifurcation diagram lead to additions of circulation quanta to the phase of the associated solution. This, in turn, relates to the manifestation of persistent current in numerous recent experimental and theoretical works, the connections to which we touch upon. The complex dynamics of the identified waveforms and the instability of unstable solution branches are demonstrated. Institute of Physics 2016-12-14 Article PeerReviewed Syafwan, M., Kevrekidis, P., Paris-Mandoki, A., Lesanovsky, I., Kruger, Peter, Hackermuller, L. and Susanto, H. (2016) Superfluid flow past an obstacle in annular Bose–Einstein condensates. Journal of Physics B: Atomic, Molecular and Optical Physics, 49 (23). 235301/1-235301/8. ISSN 1361-6455 http://dx.doi.org/10.1088/0953-4075/49/23/235301 doi:10.1088/0953-4075/49/23/235301 doi:10.1088/0953-4075/49/23/235301 |
| spellingShingle | Syafwan, M. Kevrekidis, P. Paris-Mandoki, A. Lesanovsky, I. Kruger, Peter Hackermuller, L. Susanto, H. Superfluid flow past an obstacle in annular Bose–Einstein condensates |
| title | Superfluid flow past an obstacle in annular Bose–Einstein condensates |
| title_full | Superfluid flow past an obstacle in annular Bose–Einstein condensates |
| title_fullStr | Superfluid flow past an obstacle in annular Bose–Einstein condensates |
| title_full_unstemmed | Superfluid flow past an obstacle in annular Bose–Einstein condensates |
| title_short | Superfluid flow past an obstacle in annular Bose–Einstein condensates |
| title_sort | superfluid flow past an obstacle in annular bose–einstein condensates |
| url | https://eprints.nottingham.ac.uk/39468/ https://eprints.nottingham.ac.uk/39468/ https://eprints.nottingham.ac.uk/39468/ |