Vortex precession in trapped superfluids from effective field theory

Angelo Esposito, Rafael Krichevsky, and Alberto Nicolis
Phys. Rev. A 96, 033615 – Published 11 September 2017

Abstract

We apply a recently developed effective string theory for vortex lines to the case of two-dimensional trapped superfluids. We do not assume a perturbative microscopic description for the superfluid, but only a gradient expansion for the long-distance hydrodynamical description and for the trapping potential. For any regular trapping potential, we compute the spatial dependence of the superfluid density and the orbital frequency and trajectory of an off-center vortex. Our results are fully relativistic and in the nonrelativistic limit reduce to known results based on the Gross-Pitaevskii model. In our formalism, the leading effect in the nonrelativistic limit arises from two simple Feynman diagrams in which the vortex interacts with the trapping potential through the exchange of hydrodynamical modes.

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  • Received 2 May 2017
  • Revised 5 August 2017

DOI:https://doi.org/10.1103/PhysRevA.96.033615

©2017 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & OpticalParticles & Fields

Authors & Affiliations

Angelo Esposito, Rafael Krichevsky, and Alberto Nicolis

  • Center for Theoretical Physics and Department of Physics, Columbia University, New York, New York 10027, USA

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Issue

Vol. 96, Iss. 3 — September 2017

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