The internal structure of a vortex in a two-dimensional superfluid with long healing length and its implications

Avraham Klein, Igor L. Aleiner, Oded Agam

Research output: Contribution to journalArticle

11 Scopus citations

Abstract

We analyze the motion of quantum vortices in a two-dimensional spinless superfluid within Popov's hydrodynamic description. In the long healing length limit (where a large number of particles are inside the vortex core) the superfluid dynamics is determined by saddle points of Popov's action, which, in particular, allows for weak solutions of the Gross-Pitaevskii equation. We solve the resulting equations of motion for a vortex moving with respect to the superfluid and find the reconstruction of the vortex core to be a non-analytic function of the force applied on the vortex. This response produces an anomalously large dipole moment of the vortex and, as a result, the spectrum associated with the vortex motion exhibits narrow resonances lying within the phonon part of the spectrum, contrary to traditional view.

Original languageEnglish (US)
Pages (from-to)195-229
Number of pages35
JournalAnnals of Physics
Volume346
DOIs
StatePublished - Jul 2014
Externally publishedYes

Keywords

  • Gross-Pitaevskii equations
  • Popov's equations
  • Quantum vortices
  • Two dimensional superfluid

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