Fermionic properties of two interacting bosons in a two-dimensional harmonic trap.
The system of two interacting bosons in a two-dimensional harmonic trap is compared with the one consisting of two noninteracting fermions in the same potential. In particular, we discuss how the properties of the ground state of the system, e.g. the different contributions to the total energy, change as we vary both the strength and range of the atom-atom interaction. In particular, we focus in the short-range and strong interacting limit for the two-boson system and compare it to the noninteracting two-fermion one by symmetrizing the corresponding degenerate ground state wave functions properly. In that limit, we show that the density profile of the two-boson system tends to the one of two noninteracting fermions. Similarly, the correlations induced by increasing the interaction strength result in a similar pair correlation function for both systems.
Publisher URL: http://arxiv.org/abs/1801.08435