Bose–Einstein condensation in low dimensional systems with deformed bosons

Qi-Jun Zeng, Yongsong Luo, Yuan-Guo Xu +1 more

Qi-Jun Zeng, Ze Cheng, Jianhui Yuan

Maksim Tomchenko

Abdullah Algin, Emine Arslan

The multi-dimensional q -deformed bosonic Newton oscillator algebra with U ( d )-symmetry is considered. The high- and low-temperature thermostatistical properties of a gas of the q -deformed bosonic Newton oscillators are obtained in the thermodynamical limit. It is shown that the Bose–Einstein condensation occurs in such a gas for values of the real deformation parameter q smaller than 1. However, the ordinary boson gas results can be recovered in the limit q = 1.

Guozhen Su, Jincan Chen, Lixuan Chen

The thermostatistical properties of an ideal gas of q -deformed bosons trapped in a D -dimensional power-law potential are studied, based on the q -deformed Bose–Einstein distribution. The effects of q -deformation on the properties of the system are discussed. It is shown that q -deformed bosons ( q ≠ 1) possess many different characteristics from those of ordinary bosons, which include the condition that Bose–Einstein condensation (BEC) occurs, the critical temperature and the continuity of heat capacity.

Y. Imry, David J. Bergman, Leon Gunther