Quantum Field Theory of Non-equilibrium States

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Nonequilibrium Green’s function method for quantum thermal transport (2013, background): “4) One can introduce a vertex function (and Hedin-like equation) and encapsulate the diagrams more compactly using functional derivatives [35, 46, 47].”
Nonlinear optical signals and spectroscopy with quantum light (2016, methodology): “t to forward propagation of the bra. The resulting terms are represented by loop diagrams, as is commonly done in many-body theory (Hansen and Pullerits, 2012; Mukamel, 2008; Rahav and Mukamel, 2010; Rammer, 2007). As can be seen from Fig. 2, this representation yields a more compact description (fe”
Microscopic model of quantum butterfly effect: out-of-time-order correlators and traveling combustion waves (2016, background): “To illustrate this point, more for the benefit of the readers familiar with the conventional Keldysh technique, let us consider the textbook [27] example of the perturbation theory for the electrons interacting with phonons.”
Microscopic approach to current-driven domain wall dynamics (2008, methodology): “(B.22) We thus obtain the contour-ordered Green’ function Gk,k′(t1, t ′ 1) =−i〈TCt0t [aH,k(t1)aH,k′(t ′ 1)]〉H =−i 〈 TCt0t [ e −i ∫ Ct0t dt′{Hi H0 (t′)+He H0 (t′)} ak(t1)a † k′(t ′ 1) ]〉 H .”