Bose–Einstein condensation of a two-dimensional harmonically trapped [formula omitted]-deformed boson system

Abstract

Within the framework of the theory of q-deformed bosons, Bose–Einstein condensation of a q-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 Tc, the ground state population N0/N and the specific heat C. 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 q, and so perhaps we may treat the actual bosons as q-deformed bosons to some extent. We consider that this work may provide much insight into the theory of q-deformed bosons, and may also be useful for the further study on Bose–Einstein condensation of a concrete two-dimensional trapped q-deformed boson system.