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. © 2015 EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg.

authors

• Gómez García Eduardo
• Matos T.

publication date

• 2015-01-01

published in

• European Physical Journal D  Journal

keywords

• Cold Matter and Quantum Gas

Digital Object Identifier (DOI)

• 10.1140/epjd/e2015-60062-3

start page

end page

volume

• 69

issue

• 5