Discrete Solitons and Breathers with Dilute Bose-Einstein Condensates

Abstract

We study the dynamical phase diagram of a dilute Bose-Einstein condensate (BEC) trapped in a periodic potential. The dynamics is governed by a discrete non-linear Schrödinger equation: intrinsically localized excitations, including discrete solitons and breathers, can be created even if the BEC's interatomic potential is repulsive. Furthermore, we analyze the Anderson-Kasevich experiment [Science 282, 1686 (1998)], pointing out that mean field effects lead to a coherent destruction of the interwell Bloch oscillations.

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• Correspondence between open bosonic systems and stochastic differential equations
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• Discrete Breather and Soliton-Mode Collective Excitations in Bose-Einstein Condensates in a Deep Optical Lattice with Tunable Three-body Interactions
• Localization in finite asymmetric vibro-impact chains
• Dynamics of kicked matter-wave solitons in an optical lattice
• Solitary waves in three-dimensional crystal-like structures
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• Fractional-Period Excitations in Continuum Periodic Systems
• Stability of Waves in Multi-component DNLS system
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• Quantum Field Theoretical Analysis on Unstable Behavior of Bose-Einstein Condensates in Optical Lattices
• Balancing gain and loss in symmetrised multi-well potentials
• Optical Lattices: Theory
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• Boltzmann equation with double-well potentials
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• Super-exponential decay of Diffraction Managed Solitons
• Free Particle to Complex KdV breathers through Isospectral Deformation
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• Unstaggered-staggered solitons on one- and two-dimensional two-component discrete nonlinear Schrödinger lattices
• Bulk and surface localized states on a magnetic nonlinear impurity
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• Hybrid matter-wave - microwave solitons on the lattice
• Diffusive limit and Fourier's law for the discrete Schroedinger equation
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