Polymer Bose--Einstein Condensates

Abstract

In this work we analyze a non--interacting one dimensional polymer Bose--Einstein condensate in an harmonic trap within the semiclassical approximation. We use an effective Hamiltonian coming from the polymer quantization that arises in loop quantum gravity. We calculate the number of particles in order to obtain the critical temperature. The Bose--Einstein functions are replaced by series, whose high order terms are related to powers of the polymer length. It is shown that the condensation temperature presents a shift respect to the standard case, for small values of the polymer scale. In typical experimental conditions, it is possible to establish a bound for ${\lambda }^2$ up to $\lesssim 10^{-16}$m${}^2$. To improve this bound we should decrease the frequency of the trap and also decrease the number of particles.

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• Probing Planck Scale Spacetime By Cavity Opto-Atomic ${}^{87}$Rb Interferometry
• On the viability of Planck scale cosmology with quartessence
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• Planck-Scale Traces from the Interference Pattern of two Bose-Einstein Condensates
• Polymer quantization versus the Snyder noncommutative space
• The Polymer Bouncer
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• Polymer quantization in the Bogoliubov's regime for a homogeneous one-dimensional Bose-Einstein condensate
• Weakly interacting Bose-Einstein condensates in temperature-dependent generic traps
• Constraining the quantum gravity polymer scale using LIGO data