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: Univ Padua, Dipartimento Fis & Astron Galileo Galilei, I-35131 Padua, Italy; Univ Padua, CNISM, I-35131 Padua, Italy; CNR, INO, Sez Sesto Fiorentino, I-50019 Sesto Fiorentino, Italy; Univ Fed Goias, Inst Fis, BR-74001970 Goiania, Go, Brazil; Tel Aviv Univ, Fac Engn, Sch Elect Engn, Dept Interdisciplinary Studies, IL-69978 Tel Aviv, 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.

Journal/Review: PHYSICAL REVIEW A

Volume: 90 (3)      Pages from: 33629-1  to: 33629-8

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.
KeyWords: Anderson Localization; Dark Solitons; Dynamics; Gas
DOI: 10.1103/PhysRevA.90.033629

Citations: 84
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