MG13 - Talk detail

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We discuss how harmonically trapped Bose-Einstein condensates can be used to constrain Planck scale physics. In facts Quantum gravity models predict a deformation of the Minkowski Energy-Momentum dispersion relation which affects the thermodynamic properties of the condensates. In particular a Planck-scale induced deformation $\delta E \simeq \xi_1 mcp/2M_p$ produces a shift in the condensation temperature $T_c$ of about $\Delta T_{c}/T_{c}^{0} \simeq 10^{-6} \xi_1 $ for typical laboratory conditions. We discuss how such a shift allows to bound the deformation parameter up to $|\xi_1| \lesssim 10^4$. Moreover we argue how it is possible to enlarge $\Delta T_{c}/T_{c}^{0}$ in ad hoc experiments and improve the bound on $\xi_1$. Finally we compare the Planck-scale induced shift in $T_c$ with similar effects due to interboson interactions and finite size effects.

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