The ideal gas of Bosons and Fermions in Harmonic Traps in the framework of Extended Uncertainty Principle

Abstract

This manuscript studies harmonically trapped ideal Bose and Fermi gas systems and their thermodynamics in the framework of the Extended Uncertainty Principle (EUP). In particular, we demonstrated how the ground and thermal particle ratios, condensate temperature, internal energy, specific heat, and equation of state functions change in the EUP formalism. Following a comprehensive analysis, we concluded that the effect of the EUP on ideal Bose and Fermi gas systems remains relatively modest compared to the effect of the Gravitational (Generalised) Uncertainty Principle. { By comparing the obtained results with experimental data, we found that the EUP parameter is bounded as $\alpha \le 0.36654\times 10^7{m}^{-2}$.}

15 pages, 3 figures, 1 table

References in corpus (13)

• The Generalized Uncertainty Principle in (A)dS Space and the Modification of Hawking Temperature from the Minimal Length
• GUP parameter from quantum corrections to the Newtonian potential
• Statistical physics in deformed spaces with minimal length
• Investigating the Connection between Generalized Uncertainty Principle and Asymptotically Safe Gravity in Black Hole Signatures through Shadow and Quasinormal Modes
• Bose-Einstein Condensation in the Relativistic Ideal Bose Gas
• EUP-corrected thermodynamics of BTZ black hole
• Planck-scale effects on Bose-Einstein condensates
• Trapped Bose-Einstein condensates with Planck-scale induced deformation of the energy-momentum dispersion relation
• Quantum corrections to the quasinormal modes of the Schwarzschild black hole
• Planck-Scale Traces from the Interference Pattern of two Bose-Einstein Condensates
• Weakly interacting Bose gases with generalized uncertainty principle: Effects of quantum gravity
• Extended uncertainty principle and Van der Waals black holes
• One dimensional Bose-Einstein condensate under the effect of the extended uncertainty principle