Collapse times of dipolar Bose-Einstein condensates

2008/09/24 by Christopher Ticknor, C. Ticknor, N. G. Parker +7
Mathematics · Physics and Astronomy · #Anisotropy #Ansatz #Bose–Einstein condensate #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Dipole #Gaussian #Geometry #Mathematics #Perpendicular #Physics #Quantum mechanics #Quantum, superfluid, helium dynamics #Statistical physics #Strong Light-Matter Interactions #cond-mat.other #quant-ph

paper · pdf · doi:10.1103/physreva.78.061607

published as Phys. Rev. A 78. 061607(R) (2008) · 5 pages with 3 figures

arxiv created 2008/09/24 · openalex publication_date 2008/12/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We investigate the time taken for global collapse by a dipolar Bose-Einstein condensate. Two semianalytical approaches and exact numerical integration of the mean-field dynamics are considered. The semianalytical approaches are based on a Gaussian ansatz and a Thomas-Fermi solution for the shape of the condensate. The regimes of validity for these two approaches are determined, and their predictions for the collapse time revealed and compared with numerical simulations. The dipolar interactions introduce anisotropy into the collapse dynamics and predominantly lead to collapse in the plane perpendicular to the axis of polarization.

Citations

• Dynamics of collapsing and exploding Bose–Einstein condensates
• Amplification of Local Instabilities in a Bose-Einstein Condensate with Attractive Interactions
• Stabilization of a purely dipolar quantum gas against collapse
• Controlled Collapse of a Bose-Einstein Condensate
• Bose-Einstein condensate collapse: A comparison between theory and experiment
• d-Wave Collapse and Explosion of a Dipolar Bose-Einstein Condensate