Bose-Einstein Condensation in an Axially Symmetric Mesoscopic System

Abstract

The role played by the effective dimensionality in the thermodynamic behaviour as well as in the ground-state population of an ideal mesoscopic system of non-interacting bosons, is numerically studied. Although Bose-Einstein condensation has not been predicted for one-dimensional systems, the heat capacity and ground state occupation behaviours give signatures of the possible condensation like in three- and two-dimensional limits, for a symmetrical confinement potential. It is found that the maximum values of both, critical and transition temperatures, increase as the system becomes two-dimensional, which could facilitate the experimental efforts.