Trapped Bose-Einstein condensates with Planck-scale induced deformation of the energy-momentum dispersion relation

F. Briscese

doi:10.1016/j.physletb.2012.10.022

paper

Trapped Bose-Einstein condensates with Planck-scale induced deformation of the energy-momentum dispersion relation

arXiv:1206.1236 · doi:10.1016/j.physletb.2012.10.022

Abstract

We show that harmonically trapped Bose-Einstein condensates can be used to constrain Planck scale physics. In particular we prove that a Planck-scale induced deformation of the Minkowski energy-momentum dispersion relation $δ E ≃ ξ_{1} m c p /2 M_{p}$ produces a shift in the condensation temperature $T_{c}$ of about $Δ T_{c} / T_{c}^{0} ≃ 1 0^{- 6} ξ_{1}$ for typical laboratory conditions. Such a shift allows to bound the deformation parameter up to $∣ ξ_{1} ∣ ≲ 1 0^{4}$ . Moreover we show that it is possible to enlarge $Δ T_{c} / T_{c}^{0}$ and improve the bound on $ξ_{1}$ lowering the frequency of the harmonic trap. Finally we compare the Planck-scale induced shift in $T_{c}$ with similar effects due to interboson interactions and finite size effects.

5 pages, no figures, version published in PLB

Trapped Bose-Einstein condensates with Planck-scale induced deformation of the energy-momentum dispersion relation

Abstract

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