Ultra--cold gases and the detection of the Earth's rotation: Bogoliubov space and gravitomagnetism

TL;DR

This paper explores how Earth's gravitomagnetic field influences ultra-cold bosonic gases, revealing small effects on single atoms but significant impacts on collective thermodynamic properties.

Contribution

It introduces a theoretical analysis of gravitomagnetic effects on Bose-Einstein condensates, linking general relativity with quantum gases.

Findings

Gravitomagnetic effects slightly alter single-atom properties.

Thermodynamic properties are significantly affected by collective effects.

Effects scale non-trivially with particle number.

Abstract

The present work analyzes the consequences of the gravitomagnetic effect of the Earth upon a bosonic gas in which the corresponding atoms have a non--vanishing orbital angular momentum. Concerning the ground state of the Bogoliubov space of this system we deduce the consequences, on the pressure and on the speed of sound, of the gravitomagnetic effect. We prove that the effect on a single atom is very small, but we also show that for some thermodynamical properties the consequences scale as a non--trivial function of the number of particles.