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arXiv · 1408.0779

Relativistic superfluidity and vorticity from the nonlinear Klein-Gordon equation

Chi Xiong·Michael R. R. Good·Yulong Guo·Xiaopei Liu·Kerson Huang
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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 Schrödinger equation, which is widely used in describing superfluidity and vorticity in liquid helium and cold-trapped atomic gases.

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Chi Xiong, Michael R. R. Good, Yulong Guo, Xiaopei Liu, Kerson Huang. 2014-12-03. Relativistic superfluidity and vorticity from the nonlinear Klein-Gordon equation. https://doi.org/10.1103/physrevd.90.125019

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