Planck-scale–induced speed of sound in a trapped Bose-Einstein condensate
1 Departamento de Física, Centro de Investigación y Estudios Avanzados del IPN A. P. 14-740, 07000, México D.F., México
2 Departamento de Física, Universidad Autónoma Metropolitana-Iztapalapa A. P. 55-534, 09340 México D.F., México
Received: 14 April 2014
Accepted: 6 June 2014
In the present work, we analyze the corrections caused by an anomalous dispersion relation, suggested in several quantum gravity models, upon the speed of sound in a weakly interacting Bose-Einstein condensate, trapped in a potential of the form . We show that the corresponding ground-state energy and consequently, the associated speed of sound, present corrections with respect to the usual case, which may be used to explore the sensitivity to Planck-scale effects on these relevant properties associated with the condensate. Indeed, we stress that this type of macroscopic bodies may be more sensitive, under certain conditions, to Planck-scale manifestations than its constituents. In addition, we prove that the inclusion of a trapping potential, together with many-body contributions, improves the sensitivity to Planck-scale signals, compared to the homogeneous system.
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, 2014