Hydrodynamics of compressible superfluids in confined geometries

Abdul N. Malmi-Kakkada, Oriol T. Valls, Chandan Dasgupta

Research output: Contribution to journalArticlepeer-review


We present a study of the hydrodynamics of compressible superfluids in confined geometries. We use a perturbative procedure in terms of the dimensionless expansion parameter (v/vs)2 where v is the typical speed of the flow and vs is the speed of sound. A zero value of this parameter corresponds to the incompressible limit. We apply the procedure to two specific problems: the case of a trapped superfluid with a Gaussian profile of the local density, and that of a superfluid confined in a rotating obstructed cylinder. We find that the corrections due to finite compressibility which are, as expected, negligible for liquid He, are important but amenable to the perturbative treatment for typical ultracold atomic systems.

Original languageEnglish (US)
Article number055301
JournalJournal of Physics B: Atomic, Molecular and Optical Physics
Issue number5
StatePublished - Mar 14 2014


  • cold atomic systems
  • complex geometries
  • hydrodynamics
  • superfluids


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