Hamiltonian derivation of the point vortex model from the two-dimensional nonlinear Schrödinger equation

Abstract

We present a rigorous derivation of the point vortex model starting from the two-dimensional nonlinear Schr{ö}dinger equation, from the Hamiltonian perspective, in the limit of well-separated, subsonic vortices on the background of a spatially-infinite strong condensate. As a corollary, we calculate to high accuracy the self-energy of an isolated elementary Pitaevskii vortex, for the first time.

7 pages with 2 figures. v3: Accepted for publication

References in corpus (4)

• Emergence of order from turbulence in an isolated planar superfluid
• Generation and Decay of Two-Dimensional Quantum Turbulence in a Trapped Bose-Einstein Condensate
• Experimental observation of turbulent coherent structures in a superfluid of light
• Dipole dynamics in the point vortex model

Cited by in corpus (3)

• Decay of Time Correlations in Point Vortex Systems
• Quantum vortex dipole as a probe of the normal component distribution
• Distributed vorticity model for vortex molecule dynamics