Planck-scale effects on Bose-Einstein condensates

Abstract

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 $n\simeq 10^{12}c{m}^{-3}$ 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. These corrections to $T_c$ are found to be extremely small for ultrarelativistic BECs implying that, in some cases, Planck-scale effects may be more important in low- rather than high-energy processes.

5 pages, some references added, version published in EPL

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