Universität zu Köln

Mumford, Jesse, Larson, Jonas and O'Dell, D. H. J. (2014). Impurity in a bosonic Josephson junction: Swallowtail loops, chaos, self-trapping, and Dicke model. Phys. Rev. A, 89 (2). COLLEGE PK: AMER PHYSICAL SOC. ISSN 1094-1622

Full text not available from this repository.

Abstract

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.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Mumford, Jesse UNSPECIFIED UNSPECIFIED UNSPECIFIED Larson, Jonas UNSPECIFIED UNSPECIFIED UNSPECIFIED O'Dell, D. H. J. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-445894
DOI:	10.1103/PhysRevA.89.023620
Journal or Publication Title:	Phys. Rev. A
Volume:	89
Number:	2
Date:	2014
Publisher:	AMER PHYSICAL SOC
Place of Publication:	COLLEGE PK
ISSN:	1094-1622
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language BOSE-EINSTEIN CONDENSATE; JAYNES-CUMMINGS MODEL; PHASE-TRANSITION; DOUBLE-WELL; CHARACTERISTIC VECTORS; BORDERED MATRICES; LEVEL STATISTICS; DYNAMICS; FIELD; ENTANGLEMENT Multiple languages Optics; Physics, Atomic, Molecular & Chemical Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/44589