Instabilities in the Bogoliubov Spectrum of a condensate in a 1-D periodic potential
| dc.creator | Bronski, Jared C. | |
| dc.creator | Rapti, Zoi | |
| dc.date | 2005-04-12 | |
| dc.date.accessioned | 2026-07-07T03:04:42Z | |
| dc.date.available | 2026-07-07T03:04:42Z | |
| dc.description | We study the stability of standing wave solutions to a one-dimensional Gross-Pitaevsky equation with a periodic potential. We use some simple complex analysis and the Hamiltonian structure of the problem to give a simple rigorous criterion which guarantees the existence of non-real spectrum, which corresponds to exponential instability of the standing wave solution. This criterion can be stated simply in terms of the spectrum of one of these self-adjoint operators. When the standing wave has small amplitude this criterion simplifies further, and agrees with arguments based on the effective mass in the periodic potential. | |
| dc.description | 4 pages, 2 figures | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0504304 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0504304 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/26185 | |
| dc.subject | Other Condensed Matter | |
| dc.title | Instabilities in the Bogoliubov Spectrum of a condensate in a 1-D periodic potential | |
| dc.type | text |