Josephson physics of spin-orbit-coupled elongated Bose-Einstein condensates

Year: 2014

Authors: Garcia-March M.A., Mazzarella G., Dell’Anna L., Juliá-Díaz B., Salasnich L., Polls A.

Autors Affiliation: Departament d’Estructura i Constituents de la Materia, Universitat de Barcelona, Diagonal 645, 08028 Barcelona, Spain;
Dipartimento di Fisica e Astronomia “Galileo Galilei” and CNISM, Università di Padova, Via Marzolo 8, 35131 Padova, Italy;
ICFO–Institut de Ciencies Fotoniques, Parc Mediterrani de la Tecnologia, 08860 Barcelona, Spain

Abstract: We consider an ultracold bosonic binary mixture confined in a quasi-one-dimensional double-well trap. The two bosonic components are assumed to be two hyperfine internal states of the same atom. We suppose that these two components are spin-orbit coupled to each other. We employ the two-mode approximation starting from two coupled Gross-Pitaevskii equations and derive a system of ordinary differential equations governing the temporal evolution of the interwell population imbalance of each component and of the polarization, which is the imbalance of the total populations of the two species. From this set of equations we disentangle the different macroscopic quantum tunneling and self-trapping scenarios occurring for both population imbalances and the polarization in terms of the interplay between the interatomic interactions and the other relevant energies in the problem, like the spin-orbit coupling or the conventional tunneling term. We find a rich dynamics in all three variables and discuss the experimental feasibility of such a system.


Volume: 89 (6)      Pages from: 063607  to: 063607

More Information: L. D., G. M., and L. S. acknowledge financial support from MIUR (PRIN Grant No. 2010LLKJBX), the University of Padova (Progetto di Ateneo Grant No. CPDA118083) and Cariparo Foundation (Progetto di Eccellenza). G. M. acknowledges financial support also from Progetto Giovani of University of Padova. L. D. acknowledges financial support also from MIUR (FIRB Grant No. RBFR12NLNA_002). This work has been supported by Grants No. FIS2011-24154 and No. 2009-SGR1289. B.J.D. is supported by the Ramon y Cajal program.
DOI: 10.1103/PhysRevA.89.063607

Citations: 41
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