Planck Scale Physics and Bogoliubov Spaces in a Bose-Einstein Condensate
arXiv:1212.2700 · doi:10.1209/0295-5075/103/40004
Abstract
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, defines 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.
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- Weakly interacting Bose-Einstein condensates in temperature-dependent generic traps
- Polymer quantization in the Bogoliubov's regime for a homogeneous one-dimensional Bose-Einstein condensate
- Superfluids in Polymer Quantum Mechanics