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Impurity in a bosonic Josephson junction: Swallowtail loops, chaos, self-trapping, and Dicke model
Stockholm University, Faculty of Science, Department of Physics. University of Cologne, Germany.
2014 (English)In: Physical Review A. Atomic, Molecular, and Optical Physics, ISSN 1050-2947, E-ISSN 1094-1622, Vol. 89, no 2, 023620- p.Article in journal (Refereed) Published
Abstract [en]

We study a model describing N identical bosonic atoms trapped in a double-well potential together with a single-impurity atom, comparing and contrasting it throughout with the Dicke model. As the boson-impurity coupling strength is varied, there is a symmetry-breaking pitchfork bifurcation which is analogous to the quantum phase transition occurring in the Dicke model. Through stability analysis around the bifurcation point, we show that the critical value of the coupling strength has the same dependence on the parameters as the critical coupling value in the Dicke model. We also show that, like the Dicke model, the mean-field dynamics goes from being regular to chaotic above the bifurcation and macroscopic excitations of the bosons are observed. Although the boson-impurity system behaves like a poor man's version of the Dicke model, we demonstrate a self-trapping phenomenon which thus far has not been discussed in the realm of the Dicke model.

Place, publisher, year, edition, pages
2014. Vol. 89, no 2, 023620- p.
National Category
Physical Sciences
URN: urn:nbn:se:su:diva-102792DOI: 10.1103/PhysRevA.89.023620ISI: 000332224600015OAI: diva2:713503


Available from: 2014-04-23 Created: 2014-04-22 Last updated: 2014-04-23Bibliographically approved

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