Controlling the transverse instability of dark solitons and nucleation of vortices by a potential barrier

Journal Article · Sun Aug 15 00:00:00 EDT 2010 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.82.023621· OSTI ID:21448560

Manjun, Ma ^[1]; Carretero-Gonzalez, R ^[2]; Kevrekidis, P G ^[3]; Frantzeskakis, D J ^[4]; Malomed, B A ^[5]

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1. College of Science, China Jiliang University, Hangzhou, Zhejiang, 310018 (China)
2. Nonlinear Physics Group, Departamento de Fisica Aplicada I, Universidad de Sevilla, Avda. Reina Mercedes s/n., E-41012 Sevilla (Spain)
3. Department of Mathematics and Statistics, University of Massachusetts, Amherst, Massachusetts 01003-4515 (United States)
4. Department of Physics, University of Athens, Panepistimiopolis, Zografos, Athens 15784 (Greece)
5. Department of Physical Electronics, School of Electrical Engineering, Faculty of Engineering, Tel Aviv University, Tel Aviv IL-69978 (Israel)

We study possibilities to suppress the transverse modulational instability (MI) of dark-soliton stripes in two-dimensional Bose-Einstein condensates (BEC's) and self-defocusing bulk optical waveguides by means of quasi-one-dimensional structures. Adding an external repulsive barrier potential (which can be induced in BEC by a laser sheet, or by an embedded plate in optics), we demonstrate that it is possible to reduce the MI wave number band, and even render the dark-soliton stripe completely stable. Using this method, we demonstrate the control of the number of vortex pairs nucleated by each spatial period of the modulational perturbation. By means of the perturbation theory, we predict the number of the nucleated vortices per unit length. The analytical results are corroborated by the numerical computation of eigenmodes of small perturbations, as well as by direct simulations of the underlying Gross-Pitaevskii/nonlinear Schroedinger equation.

• OSTI ID: 21448560
• Journal Information: Physical Review. A, Vol. 82, Issue 2; Other Information: DOI: 10.1103/PhysRevA.82.023621; (c) 2010 The American Physical Society; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
74 ATOMIC AND MOLECULAR PHYSICS
BOSE-EINSTEIN CONDENSATION
CALCULATION METHODS
COMPUTERIZED SIMULATION
DISTURBANCES
INSTABILITY
LASER RADIATION
NONLINEAR PROBLEMS
NUCLEATION
OPTICS
PERTURBATION THEORY
POTENTIALS
SCHROEDINGER EQUATION
SOLITONS
VORTICES
DIFFERENTIAL EQUATIONS
ELECTROMAGNETIC RADIATION
EQUATIONS
PARTIAL DIFFERENTIAL EQUATIONS
QUASI PARTICLES
RADIATIONS
SIMULATION
WAVE EQUATIONS