Mapping onto Electrodynamics of a Two-dimensional Bose-Einstein Condensate

TL;DR

This paper establishes a detailed analogy between the hydrodynamics of a 2D Bose-Einstein condensate and classical electrodynamics, offering new insights into vortex dynamics and conservation laws.

Contribution

It introduces a novel mapping that connects BEC hydrodynamics with electrodynamics, enabling new analysis of vortex behavior and conservation principles.

Findings

Derived local conservation theorems for energy and angular momentum.

Provided a useful framework for discussing vortex dynamics.

Summarized applications of the electrodynamics mapping.

Abstract

A thorough mapping between the hydrodynamics of a two-dimensional Bose-Einstein condensate and the nonrelativistic classical electrodynamics of a charged material medium is proposed. This is shown to provide a very useful frame to discuss several features of vortex dynamics. Two important local conservation theorems of energy and angular momentum are derived and further applications are summarized.