Probing spacetime fluctuations using cold atom traps

Wang, Charles H.-T. and Bingham, Robert and Mendonca, J. Tito (2011) Probing spacetime fluctuations using cold atom traps. AIP Conference Proceedings, 1421. pp. 203-211. ISSN 1551-7616

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We investigate the position oscillation of a particle that models the center of mass quantum state of a trapped Bose-Einstein condensate coupled to the zero-point fluctuations of the gravitational field. A semiclassical analysis is performed that allows to calculate the mean square amplitude of the oscillation. In analogy with the Lamb shift in quantum electrodynamics, this gives rise to an upshift of the energy of the trapped condensates. We show that for an elongated trap, the energy shift scales quadratically with the length as well as cubically with the total number of atoms.


Wang, Charles H.-T., Bingham, Robert ORCID logoORCID: and Mendonca, J. Tito;