Feynman path-integral treatment of the BEC-impurity polaron
By J. Tempere, W. Casteels, Markus K. Oberthaler, S. Knoop, E. Timmermans, J. Devreese. 2009
168 citations recorded by the source corpus.
The description of an impurity atom in a Bose-Einstein condensate can be cast in the form of Frohlich'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 po- larons, 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.
Subfields: Atomic and Molecular Physics, and Optics, Condensed Matter Physics
View Paper: https://www.semanticscholar.org/paper/8a32c404cad901d5a6528adca115eac51da06acd
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In Atomic and Molecular Physics, and Optics
- P. Giannakeas
- Jesús Pérez-Ríos
- Z. Idziaszek
- Michal Tomza
- Tommaso Calarco
- R. Gerritsma
- C. Greene
- P. Julienne
In Condensed Matter Physics
Citations in the corpus
- Universal few-body physics and cluster formation (2017, background): “…and Blume, 2006; Kohstall et al., 2012; Koschorreck et al., 2012; Levinsen et al., 2015; Li and Das Sarma, 2014; Rath and Schmidt, 2013; Scelle et al., 2013; Schirotzek et al., 2009; Spethmann et al., 2012; Tempere et al., 2009) and very recently, as in (Hu et al., 2016; Jørgensen et al., 2016).”
- Cold hybrid ion-atom systems (2017, background): “Neutral impurities in a BEC might enable to achieve α 1 by means of Feshbach resonances (Tempere et al., 2009), but a charged impurity may lead to the strong-coupling polaronic limit in a more direct way as a consequence of the long-range ion-atom interaction.”