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arXiv · 1204.4670

Planck-scale effects on Bose-Einstein condensates

F. Briscese·M. Grether·M. de Llano
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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 $n\simeq 10^{12}cm^{-3}$ 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. 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.

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F. Briscese, M. Grether, M. de Llano. 2012-06-20. Planck-scale effects on Bose-Einstein condensates. https://doi.org/10.1209/0295-5075%2F98%2F60001

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