Bose-Einstein condensates in a homogeneous gravitational field

Abstract

The behavior of a Bose--Einstein condensate in a homogeneous gravitational field is analyzed. We consider two different trapping potentials. Firstly, the gas is inside a finite container. The effects of the finiteness of the height of the container in connection with the presence of a homogeneous gravitational field are mathematically analyzed and the resulting energy eigenvalues are deduced and used to obtain the corresponding partition function and the ensuing thermodynamical properties. Secondly, the trapping potential is an anisotropic harmonic oscillator and the effects of the gravitational field and of the zero--point energy on the condensation temperature are also considered. These results are employed in order to put forward an experiment which could test the so called Einstein Equivalence Principle.

arXiv commentAccepted in Modern Physics Letters A

References in corpus (5)

• Theory of Bose-Einstein condensation in trapped gases
• Modern tests of Lorentz invariance
• Prospects for constraining quantum gravity dispersion with near term observations
• Overview of the SME: Implications and Phenomenology of Lorentz Violation
• Proposal of a second generation of quantum-gravity-motivated Lorentz-symmetry tests: sensitivity to effects suppressed quadratically by the Planck scale

Cited by in corpus (1)

• The condensation of ideal Bose gas in a gravitational field in the framework of Dunkl-statistic