Bogoliubov excitation spectrum of an elongated condensate throughout a transition from quasionedimensional to threedimensional
Abstract
The quasiparticle excitation spectra of a Bose gas trapped in a highly anisotropic trap is studied with respect to varying total number of particles by numerically solving the effective onedimensional (1D) GrossPitaevskii (GP) equation proposed recently by Mateo et al. We obtain the static properties and Bogoliubov spectra of the system in the high energy domain. This method is computationally efficient and highly accurate for a condensate system undergoing a 1D to threedimensional (3D) cigarshaped transition, as is shown through a comparison of our results with both those calculated by the 3DGP equation and analytical results obtained in limiting cases. We identify the applicable parameter space for the effective 1DGP equation and find that this equation fails to describe a system with a large number of atoms. We also identify that the description of the transition from 1D BoseEinstein condensate (BEC) to 3D cigarshaped BEC using this equation is not smooth, which highlights the fact that for a finite value of a_{⊥}/a_{s} the junction between the 1D and 3D crossover is not perfect.
 Publication:

Journal of Physics B Atomic Molecular Physics
 Pub Date:
 February 2014
 DOI:
 10.1088/09534075/47/3/035302
 arXiv:
 arXiv:1304.7302
 Bibcode:
 2014JPhB...47c5302Y
 Keywords:

 Condensed Matter  Quantum Gases
 EPrint:
 17 pages, 6 figures