Displaying similar documents to “On the current of large atoms in strong magnetic fields”

Fast rotating Bose-Einstein condensates and Bargmann transform

Xavier Blanc (2005-2006)

Séminaire Équations aux dérivées partielles

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When a Bose-Einstein condensate (BEC) is rotated sufficiently fast, it nucleates vortices. The system is only stable if the rotational velocity Ω is lower than a critical value Ω c . Experiments show that as Ω approaches Ω c , the condensate nucleates more and more vortices, which become periodically arranged. We present here a mathematical study of this limit. Using Bargmann transform and an analogy with semi-classical analysis in second quantization, we prove that the system necessarily...