Comment on "On the unphysical solutions of the Kadanoff--Baym equations in linear response: Correlation-induced homogeneous density-distribution and attractors"

Abstract

In a recent Rapid Communication [A. Stan, Phys. Rev. B \textbf{93}, 041103(R) (2016)], the reliability of the Keldysh--Kadanoff--Baym equations (KBE) using correlated selfenergy approximations applied to linear and nonlinear response has been questioned. In particular, the existence of a universal attractor has been predicted that would drive the dynamics of any correlated system towards an unphysical homogeneous density distribution regardless of the system type, the interaction and the many-body approximation. Moreover, it was conjectured that even the mean-field dynamics would be damped. Here, by performing accurate solutions of the KBE for situations studied in that paper, we prove these claims wrong being caused by numerical inaccuracies.

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• Initial correlated states for the Generalized Kadanoff--Baym Ansatz without adiabatic switching-on of interactions in closed systems
• Time Reversal Invariance of quantum kinetic equations II: Density operator formalism
• Accelerating Nonequilibrium Green functions simulations: the G1-G2 scheme and beyond
• Time Reversal Invariance of quantum kinetic equations: Nonequilibrium Green Functions Formalism
• Löwdin's symmetry dilemma within Green functions theory for the one-dimensional Hubbard model