Universality of monopole mode and time evolution of a d-dimensional trapped interacting Bose gas
| dc.creator | Ghosh, Tarun Kanti | |
| dc.date | 2000-12-11 | |
| dc.date | 2001-05-22 | |
| dc.date.accessioned | 2026-07-07T02:39:44Z | |
| dc.date.available | 2026-07-07T02:39:44Z | |
| dc.description | We study a generalised Gross-Pitaevskii equation describing a d-dimensional harmonic trapped (with trap frequency $ω_{0}$) weakly interacting Bose gas with a non-linearity of order (2 k + 1) and scaling exponent (n) of the interaction potential. Using the time-dependent variational analysis, we explicitly show that for a particular combination of n, k and d, the generalised GP equation has the universal monopole oscillation frequency $2 ω_{0}$. We also find that the time-evolution of the width can be described universally by the same Hill's equation if the system satisfy that particular combination. We also obtain the condition for the exact self-similar solutions of the Gross-Pitaevskii equation. As an application, we discuss low dimensional trapped Bose condensate state and Calogero model. | |
| dc.description | 7 pages, revtex file, No figures, version to appear in Physics Letters A | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0012188 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0012188 | |
| dc.identifier | Phys. Lett. A, Vol. 285, p.222 (2001) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/17128 | |
| dc.subject | Soft Condensed Matter | |
| dc.subject | Statistical Mechanics | |
| dc.title | Universality of monopole mode and time evolution of a d-dimensional trapped interacting Bose gas | |
| dc.type | text |