Correlations within the Non-Equilibrium Green's Function Method

Non-equilibrium Green's function (NGF) method is a powerful tool for studying the evolution of quantum many-body systems. Different types of correlations can be systematically incorporated within the formalism. The time evolution of the single-particle Green’s functions is described in terms of the Kadanoff-Baym equations. In the current work I first focus on introducing the correlations in infinite nuclear matter and then in a finite system. Starting from the harmonic oscillator Hamiltonian, by switching on adiabatically mean-field and correlations simultaneously, a well-defined ground state of a correlated system is arrived at within the NGF method.