1212.2700 (E. Castellanos)

Planck Scale Physics and Bogoliubov Spaces in a Bose--Einstein
Condensate    [PDF]

E. Castellanos

We analyze the consequences caused by a deformed relation, suggested in several quantum gravity models, upon a bosonic gas. Concerning the ground state of the Bogoliubov space of this system, we deduce the corrections in the pressure, the speed of sound, and the corresponding healing length. Indeed, we prove that the corrections in the relevant thermodynamic properties associated to the ground state, defines a non trivial function of the density of particles and the deformation parameters, allowing us to constrain, in principle, the form of the energy--momentum dispersion relation. In addition, we calculate the condensation temperature associated to the non-interacting system, and show that this fact could be used also, to infer representative bounds for the deformation parameters, under typical laboratory conditions.

View original: http://arxiv.org/abs/1212.2700