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 is lower than a critical value . Experiments show that as approaches , 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...