Electron systems 6 Expectation values 6 Local spin 4 Open-shell systems 4 Quantum theory 4 Spin dynamics 4 Atomic orbitals 2 Axial anisotropy 2 Cavity mode 2 Circularly polarized 2 Cumulant matrices 2 Cumulants 2 Density functional theory 2 Detunings 2 Doublet state 2 Effective Hamiltonian 2 Effective interactions 2 Electronic spins 2 Exciton modes 2 Excitons 2 Fuzzy atoms 2 Gene expression 2 Hartree-fock 2 Indirect interactions 2 Local spins 2 Localized spin 2 Low energies 2 Low-energy excitations 2 Low-energy state 2 Magnetic fields 2