Relativistic superfluidity and vorticity from the nonlinear Klein-Gordon equation

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 lo...

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Bibliographic Details
Main Authors: Xiong, Chi, Good, Michael R. R., Guo, Yulong, Liu, Xiaopei, Huang, Kerson
Other Authors: School of Computer Engineering
Format: Article
Language:English
Published: 2015
Subjects:
Online Access:https://hdl.handle.net/10356/103999
http://hdl.handle.net/10220/24599
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Institution: Nanyang Technological University
Language: English
Description
Summary: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 nonrelativistic nonlinear Schrödinger equation, which is widely used in describing superfluidity and vorticity in liquid helium and cold-trapped atomic gases.