Bose-Einstein condensates with attractive 1/r interaction: The case of self-trapping

Simple item page
dc.creatorPapadopoulos, I.
dc.creatorWagner, P.
dc.creatorWunner, G.
dc.creatorMain, J.
dc.date2007-09-18
dc.date.accessioned2026-07-07T08:40:55Z
dc.date.available2026-07-07T08:40:55Z
dc.descriptionAmplifying on a proposal by O'Dell et al. for the realization of Bose-Einstein condensates of neutral atoms with attractive $1/r$ interaction, we point out that the instance of self-trapping of the condensate, without external trap potential, is physically best understood by introducing appropriate "atomic" units. This reveals a remarkable scaling property: the physics of the condensate depends only on the two parameters $N^2 a/a_u$ and $γ/N^2$, where $N$ is the particle number, $a$ the scattering length, $a_u$ the "Bohr" radius and $γ$ the trap frequency in atomic units. We calculate accurate numerical results for self-trapping wave functions and potentials, for energies, sizes and peak densities, and compare with previous variational results. As a novel feature we point out the existence of a second solution of the extended Gross-Pitaevskii equation for negative scattering lengths, with and without trapping potential, which is born together with the ground state in a tangent bifurcation. This indicates the existence of an unstable collectively excited state of the condensate for negative scattering lengths.
dc.description7 pages, 7 figures, to appear in Phys. Rev. A
dc.identifierhttps://arxiv.org/abs/0709.2866
dc.identifierhttp://arxiv.org/abs/0709.2866
dc.identifierPhys. Rev. A 76 (2007) 053604
dc.identifierdoi:10.1103/PhysRevA.76.053604
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141518
dc.subjectQuantum Physics
dc.titleBose-Einstein condensates with attractive 1/r interaction: The case of self-trapping
dc.typetext

Files

Collections

arXiv