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Identical particle scattering from a weakly coupled Bose-Einstein condensed gas

Wynveen, A. and Setty, A. and Howard, A. and Halley, J. W. and Campbell, C. E. (2000) Identical particle scattering from a weakly coupled Bose-Einstein condensed gas. Physical Review A, 62 (2). Art. No. 023602. ISSN 1050-2947. https://resolver.caltech.edu/CaltechAUTHORS:20170630-132345895

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Abstract

We calculate the scattering states and cross sections for a Bose-Einstein condensed dilute gas trapped in a spherical square well of finite depth. The interactions are treated in the scattering length approximation. We solve the Gross-Pitaevskii equation and the Bogoliubov equations for bound and scattering states. The results show that there are transparency effects reminiscent of those conjectured to occur for strongly coupled systems. When incident particle wavelengths λ are comparable to the well size a, exchange induced transparency enhancement is dramatic only for particular combinations of well depth, interaction strength, and particle number. For particles with large momenta (a/λ≫1),however, exchange with the condensate results in enhanced transmission for all coupling strengths. We calculated the rate of decay of the scattering states to leading order in anharmonic corrections to the Bogoliubov approximation and found the corresponding inelastic cross sections to be extremely small.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1103/PhysRevA.62.023602DOIArticle
https://journals.aps.org/pra/abstract/10.1103/PhysRevA.62.023602PublisherArticle
ORCID:
AuthorORCID
Howard, A.0000-0001-8638-0320
Additional Information:© 2000 American Physical Society. Received 28 January 2000; published 5 July 2000. This work was supported in part by a Graduate Student Research Project Grant from NASA, by the Minnesota Supercomputing Institute, by NSF REU Grant No. NSF/CDA-9527932-002, by the University of Minnesota Graduate School and Department of Physics, by a grant from Shell Oil Company to the University of Minnesota Physics Department, and by the National Science Foundation.
Funders:
Funding AgencyGrant Number
NASAUNSPECIFIED
Minnesota Supercomputing InstituteUNSPECIFIED
NSFCDA-9527932-002
University of MinnesotaUNSPECIFIED
Shell Oil CompanyUNSPECIFIED
Issue or Number:2
Classification Code:PACS number(s): 03.75.Fi, 05.30.Jp, 67.40.Db
Record Number:CaltechAUTHORS:20170630-132345895
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170630-132345895
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:78735
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:30 Jun 2017 20:41
Last Modified:03 Oct 2019 18:11

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