Finite size effects with boundary conditions on Bose-Einstein condensation

Run Cheng, Yong-Hui Xia, Yong-Long Wang, Hong-Shi Zong

Published 2019-07-18Version 1

We investigate the statistical distribution that governs an ideal gases of N bosons confined in a limited cubic volume V . By adjusting the spatial sizes and imposing the boundary conditions that can be manipulated by the phase factors, we numerically calculate the critical temperature of Bose-Einstein condensation to analyse the statistical properties in these systems. We find that, the smaller spatial sizes can sufficiently increase the magnitude of the critical temperature. And the critical temperature exhibits a periodic variation of 2{\pi} with the phase, particularly, the counterperiodic boundary condition is more capable of increasing the critical temperature for Bose-Einstein condensation.