Resonant and non-resonant modulated amplitude waves for binary Bose--Einstein condensates in optical lattices

DOI10.1016/j.physd.2004.05.002zbMath1098.81881arXivnlin/0401023OpenAlexW2152163384MaRDI QIDQ1886981

Panayotis G. Kevrekidis, Mason A. Porter, Boris A. Malomed

Publication date: 23 November 2004

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0401023

zbMATH Keywords

Bose--Einstein condensatesGross--Pitaevskii equationsOptical lattice Spatial resonance

Mathematics Subject Classification ID

Quantum chaos (81Q50) Quantum optics (81V80)

Related Items (7)

Modulated amplitude waves in collisionally inhomogeneous Bose-Einstein condensates ⋮ Construction of Modulated Amplitude Waves via Averaging in Collisionally Inhomogeneous Bose–Einstein Condensates ⋮ Modulational instabilities and domain walls in coupled discrete nonlinear Schrödinger equations ⋮ Dynamics of Bose-Einstein condensates: exact representation and topological classification of coherent matter waves ⋮ Bifurcation analysis of a two-component Bose-Einstein condensate ⋮ A good approximation of modulated amplitude waves in Bose-Einstein condensates ⋮ Modulated amplitude waves with nonzero phases in Bose-Einstein condensates

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Dynamics of a nonlinear parametrically-excited PDE: 2-term truncation
• Dynamics and stability of Bose-Einstein condensates: the nonlinear Schrödinger equation with periodic potential
• Split-Step Methods for the Solution of the Nonlinear Schrödinger Equation
• Dynamics of periodic multi-component Bose–Einstein condensates
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