Simultaneous fermion and exciton condensations from a model Hamiltonian

Fermion-exciton condensation in which both fermion-pair (i.e., superconductivity) and exciton condensations occur simultaneously a single coherent quantum state has recently been conjectured to exist. Here, we capture the fermion-exciton through model Hamiltonian that can recreate physics of this new class highly correlated phenomena. We demonstrate generates large-eigenvalue signatures for series states with increasing particle numbers. The results confirm dual-condensate wave function arises from entanglement functions, previously predicted thermodynamic limit. This Hamiltonian---generalizing well-known Hamiltonians either superconductivity or condensation---can explore wide variety behavior. It provides significant insights into required forces generating condensate, will likely be invaluable realizing such realistic materials applications superconductors excitonic materials.