Quantum fluctuations in trapped time-dependent Bose-Einstein condensates
| dc.creator | Uhlmann, Michael | |
| dc.date | 2008-10-08 | |
| dc.date.accessioned | 2026-07-07T12:48:24Z | |
| dc.date.available | 2026-07-07T12:48:24Z | |
| dc.description | Quantum fluctuations in time-dependent, harmonically-trapped Bose-Einstein condensates are studied within Bogoliubov theory. An eigenmode expansion of the linear field operators permits the diagonalization of the Bogoliubov-de Gennes equation for a stationary condensate. When trap frequency or interaction strength are varied, the inhomogeneity of the background gives rise to off-diagonal coupling terms between different modes. This coupling is negligible for low energies, i.e., in the hydrodynamic regime, and an effective space-time metric can be introduced. The influence of the inter-mode coupling will be demonstrated in an example, where I calculate the quasi-particle number for a quasi-one-dimensional Bose-Einstein condensate subject to an exponential sweep of interaction strength and trap frequency. | |
| dc.identifier | https://arxiv.org/abs/0810.1347 | |
| dc.identifier | http://arxiv.org/abs/0810.1347 | |
| dc.identifier | Phys. Rev. A 79, 033601 (2009) | |
| dc.identifier | doi:10.1103/PhysRevA.79.033601 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/222042 | |
| dc.subject | Other Condensed Matter | |
| dc.title | Quantum fluctuations in trapped time-dependent Bose-Einstein condensates | |
| dc.type | text |