Superfluid Bose gas in two dimensions
| dc.creator | Floerchinger, S. | |
| dc.creator | Wetterich, C. | |
| dc.date | 2008-05-16 | |
| dc.date | 2009-01-17 | |
| dc.date.accessioned | 2026-07-07T12:34:42Z | |
| dc.date.available | 2026-07-07T12:34:42Z | |
| dc.description | We investigate Bose-Einstein condensation for ultracold bosonic atoms in two-dimensional systems. The functional renormalization group for the average action allows us to follow the effective interactions from molecular scales (microphysics) to the characteristic extension of the probe $l$ (macrophysics). In two dimensions the scale dependence of the dimensionless interaction strength $λ$ is logarithmic. Furthermore, for large $l$ the frequency dependence of the inverse propagator becomes quadratic. We find an upper bound for $λ$, and for large $λ$ substantial deviations from the Bogoliubov results for the condensate depletion, the dispersion relation and the sound velocity. The melting of the condensate above the critical temperature $T_c$ is associated to a phase transition of the Kosterlitz-Thouless type. The critical temperature in units of the density, $T_c/n$, vanishes for $l\to\infty$ logarithmically. | |
| dc.description | 10 pages, 12 figures, reference added | |
| dc.identifier | https://arxiv.org/abs/0805.2571 | |
| dc.identifier | http://arxiv.org/abs/0805.2571 | |
| dc.identifier | Phys.Rev.A79:013601,2009 | |
| dc.identifier | doi:10.1103/PhysRevA.79.013601 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/217529 | |
| dc.subject | Superconductivity | |
| dc.title | Superfluid Bose gas in two dimensions | |
| dc.type | text |