Relativistic superfluidity and vorticity from the nonlinear Klein-Gordon equation
High Energy Physics - Theory
2014-12-24 v2 High Energy Astrophysical Phenomena
General Relativity and Quantum Cosmology
Pattern Formation and Solitons
Abstract
We investigate superfluidity, and the mechanism for creation of quantized vortices, in the relativistic regime. The general framework is a nonlinear Klein-Gordon equation in curved spacetime for a complex scalar field, whose phase dynamics gives rise to superfluidity. The mechanisms discussed are local inertial forces (Coriolis and centrifugal), and current-current interaction with an external source. The primary application is to cosmology, but we also discuss the reduction to the non-relativistic nonlinear Schr\"{o}dinger equation, which is widely used in describing superfluidity and vorticity in liquid helium and cold-trapped atomic gases.
Keywords
Cite
@article{arxiv.1408.0779,
title = {Relativistic superfluidity and vorticity from the nonlinear Klein-Gordon equation},
author = {Chi Xiong and Michael R. R. Good and Yulong Guo and Xiaopei Liu and Kerson Huang},
journal= {arXiv preprint arXiv:1408.0779},
year = {2014}
}
Comments
7 pages, 5 figures. Revised version. To appear in Phys. Rev. D