Title
Feynman path-integral treatment of the BEC-impurity polaron Feynman path-integral treatment of the BEC-impurity polaron
Author
Faculty/Department
Faculty of Sciences. Physics
Publication type
article
Publication
Lancaster, Pa ,
Subject
Physics
Source (journal)
Physical review : B : solid state. - Lancaster, Pa, 1970 - 1978
Volume/pages
80(2009) :18 , p. 184504,1-184501,8
ISSN
0556-2805
ISI
000272310900092
Carrier
E
Target language
English (eng)
Full text (Publishers DOI)
Affiliation
University of Antwerp
Abstract
The description of an impurity atom in a Bose-Einstein condensate can be cast in the form of Fröhlich's polaron Hamiltonian, where the Bogoliubov excitations play the role of the phonons. An expression for the corresponding polaronic coupling strength is derived, relating the coupling strength to the scattering lengths, the trap size and the number of Bose condensed atoms. This allows to identify several approaches to reach the strong-coupling limit for the quantum gas polarons, whereas this limit was hitherto experimentally inaccessible in solids. We apply Feynman's path-integral method to calculate for all coupling strengths the polaronic shift in the free energy and the increase in the effective mass. The effect of temperature on these quantities is included in the description. We find similarities to the acoustic polaron results and indications of a transition between free polarons and self-trapped polarons. The prospects, based on the current theory, of investigating the polaron physics with ultracold gases are discussed for lithium atoms in a sodium condensate.
Full text (open access)
https://repository.uantwerpen.be/docman/irua/6a3f64/5bd76941.pdf
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