Full-time dynamics of modulational instability in spinor Bose-Einstein condensates

Journal Article · Sun Jul 15 00:00:00 EDT 2007 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.76.013626· OSTI ID:21011295

Doktorov, Evgeny V ^[1]; Rothos, Vassilis M ^[2]; Kivshar, Yuri S ^[3]

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1. B. I. Stepanov Institute of Physics, 68 Francisk Skaryna Avenue, 220072 Minsk (Belarus)
2. Department of Mathematics, Physics and Computational Sciences, Faculty of Technology, Aristotle University of Thessaloniki, Thessaloniki 54124 (Greece)
3. Nonlinear Physics Centre and Australian Centre of Excellence for Quantum-Atom Optics, Research School of Physical Sciences and Engineering, Australian National University, Canberra ACT 0200 (Australia)

We describe the full-time dynamics of modulational instability in F=1 spinor Bose-Einstein condensates for the case of the integrable three-component model associated with the matrix nonlinear Schroedinger equation. We obtain an exact homoclinic solution of this model by employing the dressing method which we generalize to the case of the higher-rank projectors. This homoclinic solution describes the development of modulational instability beyond the linear regime, and we show that the modulational instability demonstrates the reversal property when the growth of the modulated amplitude is changed by its exponential decay.

• OSTI ID: 21011295
• Journal Information: Physical Review. A, Vol. 76, Issue 1; Other Information: DOI: 10.1103/PhysRevA.76.013626; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
AMPLITUDES
BOSE-EINSTEIN CONDENSATION
CHAOS THEORY
DECAY
INSTABILITY
MATHEMATICAL SOLUTIONS
MATRICES
NONLINEAR PROBLEMS
SCHROEDINGER EQUATION
SPINORS