Fermion and boson condensates in a QCD-inspired model Hamiltonian

The interaction between bi-fermionic and bosonic degrees of freedom is described by using an effective Hamiltonian inspired in QCD. The Dyson boson mapping technique is utilized in conjunction with a coherent state basis to construct energy landscapes in a multiparametric space. The appearance of fermionic and bosonic condensates is studied by minimizing the potential energy surface. The relationship between the domains of fermion and boson condensates and the order parameters of the model is discussed.