Mishchenko Y. Realization of composite quasibosons by deformed oscillators

Algebraic realization of composite two-fermion or two-boson quasibosons in terms of deformed oscillators (with quadratic structure function) is constructed. The set of the corresponding quasibosonic wavefunctions is obtained. The results are generalized to the case of q-deformed constituents. The characteristics of bipartite entanglement such as Schmidt rank/number, entanglement entropy and purity in quasibosonic states are expressed through the deformation parameter; the energy dependence of bipartite entanglement entropy and purity is found for these states. Exact expressions for the intercepts of r-particle momentum correlation functions are found for the defomed mu-Bose gas model.