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Structure formation during the collapse of a dipolar atomic Bose-Einstein condensate

2008/10/31 by N. G. Parker, Christopher Ticknor, C. Ticknor +4 · 2 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #Strong Light-Matter Interactions #cond-mat.other

paper · pdf · doi:10.1103/physreva.79.013617

published as N. G. Parker, C. Ticknor, A. M. Martin and D. H. J. O'Dell, Phys. Rev. A 79, 013617 (2009) · In this version (the published version) we have slightly rewritten the manuscript in places and have corrected some typos. 15 pages and 13 figures

openalex publication_date 2009/01/21 · arxiv created 2009/01/22 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

We investigate the collapse of a trapped dipolar Bose-Einstein condensate. This is performed by numerical simulations of the Gross-Pitaevskii equation and the novel application of the Thomas-Fermi hydrodynamic equations to collapse. We observe regimes of both global collapse, where the system evolves to a highly elongated or flattened state depending on the sign of the dipolar interaction, and local collapse, which arises due to dynamically unstable phonon modes and leads to a periodic arrangement of density shells, disks, or stripes. In the adiabatic regime, where ground states are followed, collapse can occur globally or locally, while in the nonadiabatic regime, where collapse is initiated suddenly, local collapse commonly occurs. We analyze the dependence on the dipolar interactions and trap geometry, the length and time scales for collapse, and relate our findings to recent experiments.

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