Effective Potential for Ultracold Atoms at the Zero Crossing of a Feshbach Resonance
Author
Source
Journal of Atomic, Molecular, and Optical Physics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-08-01
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We consider finite-range effects when the scattering length goes to zero near a magnetically controlled Feshbach resonance.
The traditional effective-range expansion is badly behaved at this point, and we therefore introduce an effective potential that reproduces the full T-matrix.
To lowest order the effective potential goes as momentum squared times a factor that is well defined as the scattering length goes to zero.
The potential turns out to be proportional to the background scattering length squared times the background effective range for the resonance.
We proceed to estimate the applicability and relative importance of this potential for Bose-Einstein condensates and for two-component Fermi gases where the attractive nature of the effective potential can lead to collapse above a critical particle number or induce instability toward pairing and superfluidity.
For broad Feshbach resonances the higher order effect is completely negligible.
However, for narrow resonances in tightly confined samples signatures might be experimentally accessible.
This could be relevant for suboptical wavelength microstructured traps at the interface of cold atoms and solid-state surfaces.
American Psychological Association (APA)
Zinner, N. T.. 2012. Effective Potential for Ultracold Atoms at the Zero Crossing of a Feshbach Resonance. Journal of Atomic, Molecular, and Optical Physics،Vol. 2012, no. 2012, pp.1-9.
https://search.emarefa.net/detail/BIM-456600
Modern Language Association (MLA)
Zinner, N. T.. Effective Potential for Ultracold Atoms at the Zero Crossing of a Feshbach Resonance. Journal of Atomic, Molecular, and Optical Physics No. 2012 (2012), pp.1-9.
https://search.emarefa.net/detail/BIM-456600
American Medical Association (AMA)
Zinner, N. T.. Effective Potential for Ultracold Atoms at the Zero Crossing of a Feshbach Resonance. Journal of Atomic, Molecular, and Optical Physics. 2012. Vol. 2012, no. 2012, pp.1-9.
https://search.emarefa.net/detail/BIM-456600
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-456600