Quantum gray solitons in confining potentials.

  title={Quantum gray solitons in confining potentials.},
  author={Dominic C. Wadkin-Snaith and Dimitri M. Gangardt},
  journal={Physical review letters},
  volume={108 8},
We define and study holelike excitations (the Lieb II mode) in a weakly interacting Bose liquid subject to external confinement. These excitations are obtained by semiclassical quantization of gray solitons propagating on top of a Thomas-Fermi background. Radiation of phonons by an accelerated gray soliton leads to a finite lifetime of these excitations. It is shown that, for a large number of trapped atoms, most of the Lieb II levels can be experimentally resolved. 

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