Thermodynamics of Bose-condensed atomic hydrogen

Abstract

We study the thermodynamics of the Bose-condensed atomic hydrogen confined in the Ioffe-Pritchard potential. Such a trapping potential, that models the magnetic trap used in recent experiments with hydrogen, is anharmonic and strongly anisotropic. We calculate the ground-state properties, the condensed and non-condensed fraction and the Bose-Einstein transition temperature. The thermodynamics of the system is strongly affected by the anharmonicity of this external trap. Finally, we consider the possibility to detect Josephson-like currents by creating a double-well barrier with a laser beam.

Shell Effects and Phase Separation in a Trapped Multi-Component Fermi System

“…Moreover, by using g n (z) = −f n (−z) instead of f n (z), one finds the spatial distribution of the ideal Bose gas in external potential. [5,6] The Fermi energy E F and the Fermi temperature…”

Critical Temperature of an Interacting Bose Gas in a Generic Power-Law Potential

“…6,7 Note that the shape of the trapping potential plays a decisive role for the critical temperature, as we have recently shown with a dilute gas of hydrogen atoms in a Ioffe trap. 8 An important class of trapping potentials is provided by power-law potentials U(r) = A r n . Power-law potentials have been proposed to cool the Bose gas in a reversible way by adiabatically changing the shape of the trap at a rate slow compared to the internal equilibration rate.…”