Space-time curvature signatures in Bose-Einstein condensates

Abstract

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

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Correspondence to Eduardo Gomez.

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Part of the Instituto Avanzado de Cosmología (IAC) collaboration http://www.iac.edu.mx/

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Matos, T., Gomez, E. Space-time curvature signatures in Bose-Einstein condensates. Eur. Phys. J. D 69, 125 (2015). https://doi.org/10.1140/epjd/e2015-60062-3

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Keywords

  • Cold Matter and Quantum Gas