Stabilization of a (3+1)D soliton in a Kerr medium by a rapidly oscillating dispersion coefficient

Abstract

Using the numerical solution of the nonlinear Schroedinger equation and a variational method it is shown that (3+1)-dimensional spatiotemporal optical solitons can be stabilized by a rapidly oscillating dispersion coefficient in a Kerr medium with cubic nonlinearity. This has immediate consequence in generating dispersion-managed robust optical soliton in communication as well as possible stabilized Bose-Einstein condensates in periodic optical-lattice potential via an effective-mass formulation. We also critically compare the present stabilization with that obtained by a rapid sinusoidal oscillation of the Kerr nonlinearity parameter.

6 pages, 6 ps figures, New figure 4 added, Physical Review E

References in corpus (6)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Observation of discrete vortex solitons in optically-induced photonic lattices
• Stabilization of bright solitons and vortex solitons in a trapless three-dimensional Bose-Einstein condensate by temporal modulation of the scattering length
• Stabilized two-dimensional vector solitons
• Dynamics of positive- and negative-mass solitons in optical lattices and inverted traps
• Stabilization of a light bullet in a layered Kerr medium with sign-changing nonlinearity

Cited by in corpus (9)

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• One-dimensional superfluid Bose-Fermi mixture: mixing, demixing and bright solitons
• Dynamical stabilization of matter-wave solitons revisited
• Matter-wave solitons supported by dissipation
• Elastic collision and molecule formation of spatiotemporal light bullets in a cubic-quintic nonlinear medium
• Dynamical stabilization of two-dimensional trapless Bose-Einstein condensates by three-body interaction and quantum fluctuations
• Bound states of attractive Bose-Einstein condensates in shallow traps in two and three dimensions
• Elastic collision and breather formation of spatiotemporal vortex light bullets in a cubic-quintic nonlinear medium
• Effect of dissipative environment on collapses and revivals of a nonlinear quantum oscillator