Dynamical localization of gap-solitons by time periodic forces

Abstract

The phenomenon of dynamical localization of matter wave solitons in optical lattices is first demonstrated and the conditions for its existence are discussed. In addition to the trapping linear periodic potential we use a periodic modulation of the nonlinearity in space to eliminate nonexistence regions of gap-solitons in reciprocal space. We show that when this condition is achieved, the observation of dynamical localization in true nonlinear regime becomes possible. The results apply to all systems described by the periodic nonlinear Schrödinger equation, including Bose-Einstein condensates of ultracold atoms trapped in optical lattices and arrays of waveguides or photonic crystals in nonlinear optics.

accepted for Europhysics Letters

References in corpus (6)

• Dynamical control of matter-wave tunneling in periodic potentials
• Coherent control of dressed matter waves
• Exploring dynamic localization with a Bose-Einstein condensate
• Long-living Bloch oscillations of matter waves in optical lattices
• Instability and control of a periodically-driven Bose-Einstein condensate
• Generalized Neighbor-Interaction Models Induced by Nonlinear Lattices

Cited by in corpus (20)

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• Observation and uses of position-space Bloch oscillations in an ultracold gas
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• Superfluidity of Bose-Einstein condensates in toroidal traps with nonlinear lattices
• Resonant scattering of matter wave gap-solitons by optical lattice defects
• Bright solitons and self-trapping with a BEC of cold atoms in driven tilted optical lattices
• Flat bands and dynamical localization of spin-orbit coupled Bose-Einstein condensates
• Long lived matter waves Bloch oscillations and dynamical localization by time dependent nonlinearity management
• Split and overlapped binary solitons in optical lattices
• Compacton matter waves in binary Bose gases under strong nonlinear management
• Dynamic localization in optical and Zeeman lattices in the presence of spin-orbit coupling
• Persistence of equilibrium states in an oscillating double-well potential
• Nonlinearity-induced localization in a periodically-driven semi-discrete system
• Linear superpositions of gap solitons in periodic Kerr media
• Chaotic Bloch oscillations in dissipative optical systems driven by a periodic train of coherent pulses
• An escape of vector matter-wave soliton from a parabolic trap
• Cold Atoms in Driven Optical Lattices
• Bloch oscillations sustained by nonlinearity
• Thresholdless discrete surface solitons and stability switchings in periodically curved waveguides