Bose–Einstein condensation of a two-dimensional harmonically trapped qq-deformed boson system

•We explore BEC of a qq boson system with finite particles in a 2D harmonic trap.•We obtain the expression for the effective critical temperature TcTc among others.•We compare the results of our research with the experimental data.

Within the framework of the theory of qq-deformed bosons, Bose–Einstein condensation of a qq-deformed boson system, which has a finite number of particles and is trapped in a two-dimensional harmonic potential trap, is investigated. By using the approach of modified density of states, we obtain the expressions of the effective critical temperature TcTc, the ground state population N0/NN0/N and the specific heat CC. Further numerical calculation shows that Bose–Einstein condensation of such a system has some particular and interesting features, such as it is possible to well fit the experimental data concerned by adjusting the parameter qq, and so perhaps we may treat the actual bosons as qq-deformed bosons to some extent. We consider that this work may provide much insight into the theory of qq-deformed bosons, and may also be useful for the further study on Bose–Einstein condensation of a concrete two-dimensional trapped qq-deformed boson system.