Modified uncertainty principle from the free expansion of a Bose-Einstein Condensate
arXiv:1507.00331 · doi:10.1142/S0217732317500079
Abstract
In this paper, we present a theoretical and numerical analysis of the free expansion of a Bose-Einstein condensate, where we assume that the single particle energy spectrum is deformed due to a possible quantum structure of spacetime. Also, we consider the presence of interparticle interactions in order to study more realistic and specific scenarios. The modified free velocity expansion of the condensate leads in a natural way to a modification of the uncertainty principle, which allows us to investigate some possible features of the Planck scale regime in low-energy earth-based experiments.
7 pages, 2 figures
References in corpus (13)
- Discreteness of Space from the Generalized Uncertainty Principle
- Interferometry with Bose-Einstein Condensates in Microgravity
- Constraining the energy-momentum dispersion relation with Planck-scale sensitivity using cold atoms
- Challenge to Macroscopic Probes of Quantum Spacetime Based on Noncommutative Geometry
- Is a tabletop search for Planck scale signals feasible?
- Do the Modified Uncertainty Principle and Polymer Quantization predict same physics?
- Polymer Bose--Einstein Condensates
- Trapped Bose-Einstein condensates with Planck-scale induced deformation of the energy-momentum dispersion relation
- Planck-scale effects on Bose-Einstein condensates
- Quantum gravity simulation by non-paraxial nonlinear optics
- Planck Scale Physics and Bogoliubov Spaces in a Bose-Einstein Condensate
- Planck-Scale Traces from the Interference Pattern of two Bose-Einstein Condensates
- Planck Scale Induced Speed of Sound in a Trapped Bose-Einstein Condensate