Planck scale physics and Bogoliubov spaces in a Bose-Einstein condensate
Departamento de Física, Centro de Investigación y Estudios Avanzados del IPN A. P. 14-740, 07000, México, D.F., México
Received: 17 June 2013
Accepted: 28 August 2013
We analyze the consequences caused by a deformed dispersion 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 with the ground state, define a non-trivial function of the density of particles and the deformation parameters, allowing us to constrain, in principle, the form of the modified energy-momentum dispersion relation.
PACS: 04.60.Bc – Phenomenology of quantum gravity / 04.90.+e – Other topics in general relativity and gravitation (restricted to new topics in section 04) / 05.30.Jp – Boson systems
© EPLA, 2013