Nonlinear states and nonlinear tunneling in a potential well

Abstract

A nonlinear Schroedinger model in a square well and managed nonlinearity is shown to possess nonlinear states as continuous extensions of the linear levels. The solutions are remarkably stable up to a threshold amplitude where a soliton is emitted and propagates outside the well. The analytic expression of the threshold is given in terms of the well size for each level. This process of nonlinear tunneling results from an instability of the evanescent wave inside the walls and can find experimental realization in a proposed nonlinear fiber Bragg gratings resonator.

RevTex file, augmented references and related text revision

References in corpus (7)

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• Nonlinear Supratransmission
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Cited by in corpus (6)

• Nonlinear supratransmission in multicomponent systems
• Localized standing waves in inhomogeneous Schrodinger equations
• Supratransmission-induced travelling breathers in long Josephson junctions
• Bistable light detectors with nonlinear waveguide arrays
• Statics and Dynamics of an Inhomogeneously-Nonlinear Lattice
• Tristability in the pendula chain