Planck-scale effects on Bose-Einstein condensates

Understand

The effects of a Planck-scale deformation of the Minkowski energy-momentum dispersion relation on the phenomenology of non-trapped Bose-Einstein condensates (BECs) are examined.

• Such a deformation is shown to cause a shift in the condensation temperature $T_{c}$ of the BEC and, for a specific functional form of deformation, this shift can be as large as the current measured precision on $T_{c}$.
• For a $_{37}^{85}Rb$ cold-atom BEC with a particle density $n\simeq 10^{12}cm^{-3}$ we find a fractional shift of order $10^{-4}$, but this can be much larger for even more dilute BECs.
• We discuss the possibility of planning specific experiments with BECs that might provide phenomenological constraints on Planck-scale physics.