Abstract
We present a rigorous derivation of the point vortex model starting from the two-dimensional nonlinear Schrödinger 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.
| Original language | English |
|---|---|
| Article number | 025107 |
| Number of pages | 9 |
| Journal | Physical Review E |
| Volume | 107 |
| Issue number | 2 |
| DOIs | |
| Publication status | Published - 24 Feb 2023 |
Bibliographical note
Copyright ©2023 American Physical Society. This is an accepted manuscript of an article published in Physical Review E. The published version is available at: https://doi.org/10.1103/PhysRevE.107.025107Funding
This work was supported by the European Union's H2020 Marie Skłodowska-Curie. Action for MCSA-RISE-2018 project HALT Grant Agreement No. 823937. J.L. and J.S. are supported by Leverhulme Trust, Grant RPG-2021-014.
| Funders | Funder number |
|---|---|
| European Union's H2020 Marie Skłodowska-Curie | 823937 |
| Leverhulme Trust | RPG-2021-014 |