Modulational instabilities in Josephson oscillations of elongated coupled condensates

2005/02/28 by Isabelle Bouchoule · 3 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Nonlinear Photonic Systems #Strong Light-Matter Interactions #cond-mat.other #physics.atom-ph

paper · pdf · doi:10.1140/epjd/e2005-00091-y

openalex publication_date 2005/06/13 · arxiv created 2005/06/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

Abstract

We study the Josephson oscillations of two coupled elongated condensates. Linearized calculations show that the oscillating mode uniform over the length of the condensates (uniform Josephson mode) is unstable : modes of non zero longitudinal momentum grow exponentially. In the limit of strong atom interactions, we give scaling laws for the instability time constant and unstable wave vectors. Beyond the linearized approach, numerical calculations show a damped recurrence behavior : the energy in the Josephson mode presents damped oscillations. Finally, we derive conditions on the confinement of the condensates to prevent instabilities.

Citations

• Solution of the Schrödinger Equation with a Hamiltonian Periodic in Time

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