Density profile of a Bose-Einstein condensate inside a pancake-shaped trap: Observational consequences of the dimensional cross-over in the scattering properties

Date
2002
Advisor
Instructor
Source Title
Physics Letters, Section A : General, Atomic and Solid State Physics
Print ISSN
0375-9601
Electronic ISSN
Publisher
Elsevier Science B.V.
Volume
302
Issue
2-3
Pages
131 - 136
Language
English
Type
Article
Journal Title
Journal ISSN
Volume Title
Abstract

It is theoretically well known that two-dimensionality of the scattering events in a Bose-Einstein condensate introduces a logarithmic dependence on density in the coupling constant entering a mean-field theory of the equilibrium density profile, which becomes dominant as the s-wave scattering length gets larger than the condensate thickness. We trace the regions of experimentally accessible system parameters for which the cross-over between different dimensionality behaviors in the scattering properties may become observable through in situ imaging of the condensed cloud with varying trap anisotropy and scattering length.

Course
Other identifiers
Book Title
Keywords
Bose gases, Density profiles, Low dimensional, Anisotropy, Density, Imaging, Polymerization, Quantum mechanics, Temperature dependence, Theory, Thermodynamics, Thickness
Citation
Published Version (Please cite this version)