Localized modes in quasi-two-dimensional Bose-Einstein condensates with spin-orbit and Rabi couplings

Year: 2014

Authors: Salasnich L., Cardoso W. B., Malomed B. A.

Autors Affiliation: Dipartimento di Fisica e Astronomia “Galileo Galilei” and CNISM, Università di Padova, Via Marzolo 8, 35131 Padova, Italy; Istituto Nazionale di Ottica (INO) del Consiglio Nazionale delle Ricerche (CNR), Sezione di Sesto Fiorentino,Via Nello Carrara, 1 – 50019 Sesto Fiorentino, Italy; Instituto de Fısica, Universidade Federal de Goias, 74.001-970, Goiania, Goias, Brazil; Department of Interdisciplinary Studies, School of Electrical Engineering, Faculty of Engineering, Tel Aviv University, Tel Aviv 69978, Israel

Abstract: We consider a two-component pancake-shaped, i.e., effectively two-dimensional (2D), Bose-Einstein condensate coupled by the spin-orbit (SO) and Rabi terms. The SO coupling adopted here is of the mixed Rashba-Dresselhaus type. For this configuration, we derive a system of two 2D nonpolynomial Schrodinger equations (NPSEs), for both attractive and repulsive interatomic interactions. In the low- and high-density limits, the system amounts to previously known models, namely, the usual 2D Gross-Pitaevskii equation, or the Schrodinger equation with the nonlinearity of power 7/3. We present simple approximate localized solutions, obtained by treating the SO and Rabi terms as perturbations. Localized solutions of the full NPSE system are obtained in a numerical form. Remarkably, in the case of the attractive nonlinearity acting in free space (i.e., without any 2D trapping potential), we find parameter regions where the SO and Rabi couplings make 2D fundamental solitons dynamically stable.


Volume: 90 (3)      Pages from: 033629  to: 033629

More Information: S. appreciates partial support from Universita di Padova (Research Project \”Quantum Information with Ultracold Atoms in Optical Lattices\”), Cariparo Foundation (Excellence Project \”Macroscopic Quantum Properties of Ultracold Atoms under Optical Confinement\”), and Ministero Istruzione Universita Ricerca of Italy (PRIN Project \”Collective Quantum Phenomena: from Strongly-Correlated Systems to Quantum Simulators\”). W.B.C. thanks Brazilian agencies CNPq and the National Institute of Science and Technology for Quantum Information (INCT-IQ) for partial support. The work of B.A.M. was supported, in part, by the German-Israel Foundation through Grant No. I-1024-2.7/2009, and by the Binational Science Foundation (U.S.-Israel) through Grant No. 2010239.
DOI: 10.1103/PhysRevA.90.033629

Citations: 65
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