Probing spacetime fluctuations using cold atom traps

Charles H.-T. Wang, Robert Bingham, J. Tito Mendonca

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

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.
Original languageEnglish
Pages (from-to)203-211
Number of pages9
JournalAIP Conference Proceedings
Volume1421
DOIs
Publication statusPublished - 9 Feb 2011

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traps
oscillations
shift
quantum electrodynamics
Bose-Einstein condensates
gravitational fields
center of mass
atoms
condensates
energy

Keywords

  • spacetime fluctuations
  • cold atoms
  • quantum electrodynamics

Cite this

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Probing spacetime fluctuations using cold atom traps. / Wang, Charles H.-T.; Bingham, Robert; Mendonca, J. Tito.

In: AIP Conference Proceedings, Vol. 1421, 09.02.2011, p. 203-211.

Research output: Contribution to journalArticle

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AU - Bingham, Robert

AU - Mendonca, J. Tito

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N2 - 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.

AB - 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.

KW - spacetime fluctuations

KW - cold atoms

KW - quantum electrodynamics

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