BEC in Confined Geometry: Studied by Thermodynamic Mapping

K. J. Hughes, Óscar Viyuela García, J. M. Reeves +4 more

Tao Wen, Ji-Ping Ye, Su-Qiao An +3 more

Quantum confinement shifts quantum phase transitions like the λ-point of liquid helium. This effect is calculated here for ideal Bose–Einstein condensates (BECs) using thermodynamic mapping (TM). TM is a procedure to obtain low temperature behaviour from high temperature information via elementary transformations. We report here a series of TM relations for thermodynamic quantities and the resulting transition properties for ideal BECs.

Meng-Jun Ou, Ji-Xuan Hou

It is well known that Bose–Einstein condensation cannot occur in a free two-dimensional (2D) system. Recently, several studies have showed that BEC can occur on the surface of a sphere. We investigate BEC on the surface of cylinder on both sides of which atoms are confined in a one-dimensional (1D) harmonic potential. In this work, only the non-interacting Bose gas is considered. We determine the critical temperature and the condensate fraction in the geometry using the semi-classical approximation. Moreover, the thermodynamic properties of ideal bosons are also studied using the grand canonical partition function.

Tod M. Wright, R. J. Ballagh, Crispin W. Gardiner +2 more

Johannes Hecker Denschlag

Arthur Minnullin, Tayurskii Dmitrii Albertovich

A model system of an ideal gas of neutral fermions in a confined geometry of different symmetry and size is theoretically examined. The behavior of these systems is found to exhibit qualitatively new features such as the oscillations in magnetic susceptibility with changing geometry size and particle density, indicating that the geometric confinement substantially affects the thermodynamic properties of the system.