Complex Langevin simulation of quantum vortices in a Bose-Einstein   condensate
  The ab-initio simulation of quantum vortices in a Bose-Einstein condensate is performed by adopting the complex Langevin techniques. We simulate the nonrelativistic boson field theory at finite chemical potential under rotation. In the superfluid phase, vortices are generated above a critical angular velocity and the circulation is clearly quantized even in the presence of quantum fluctuations. 
Tomoya Hayata, Arata Yamamoto
cond-mat.quant-gas hep-lat hep-ph