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arXiv · 1501.04694

Space-Time Curvature Signatures in Bose-Einstein Condensates

Tonatiuh Matos·Eduardo Gomez
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Abstract

We derive a generalized Gross-Pitaevski (GP) equation immersed on a electromagnetic and a weak gravitational field starting from the covariant Complex Klein-Gordon field in a curved space-time. We compare it with the GP equation where the gravitational field is added by hand as an external potential. We show that there is a small difference of order $g z/c^2$ between them that could be measured in the future using Bose-Einstein Condensates (BEC). This represents the next order correction to the Newtonian gravity in a curved space-time.

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Tonatiuh Matos, Eduardo Gomez. 2015-01-20. Space-Time Curvature Signatures in Bose-Einstein Condensates. https://doi.org/10.1140/epjd%2Fe2015-60062-3

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