Conditions for one-dimensional supersonic flow of quantum gases (6 pages)

@article{Giovanazzi2004ConditionsFO,
  title={Conditions for one-dimensional supersonic flow of quantum gases (6 pages)},
  author={Stefano Giovanazzi and C. Farrell and Tam{\'a}s Kiss and Ulf Leonhardt},
  journal={Physical Review A},
  year={2004},
  volume={70},
  pages={63602}
}
One can use transsonic Bose-Einstein condensates of alkali atoms to establish the laboratory analog of the event horizon and to measure the acoustic version of Hawking radiation. We determine the conditions for supersonic flow and the Hawking temperature for realistic condensates on waveguides where an external potential plays the role of a supersonic nozzle. The transition to supersonic speed occurs at the potential maximum and the Hawking temperature is entirely determined by the curvature of… 
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