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arXiv · 1310.3319

Scalar Field as a Bose-Einstein Condensate?

Elías Castellanos·Celia Escamilla-Rivera·Alfredo Macías·Darío Núñez
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Abstract

We discuss the analogy between a classical scalar field with a self-interacting potential, in a curved spacetime described by a quasi--bounded state, and a trapped Bose-Einstein condensate. In this context, we compare the Klein-Gordon equation with the Gross-Pitaevskii equation. Moreover, the introduction of a curved background spacetime endows, in a natural way, an equivalence to the Gross-Pitaevskii equation with an explicit confinement potential. The curvature also induces a position dependent self-interaction parameter. We exploit this analogy by means of the Thomas-Fermi approximation, commonly used to describe the Bose-Einstein condensate, in order to analyze the quasi bound scalar field distribution surrounding a black hole.

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Elías Castellanos, Celia Escamilla-Rivera, Alfredo Macías, Darío Núñez. 2014-10-24. Scalar Field as a Bose-Einstein Condensate?. https://doi.org/10.1088/1475-7516%2F2014%2F11%2F034

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