Fig. 1: Two-time dynamic Bayesian network for system and reservoir.
From: Nonequilibrium thermodynamics of quantum coherence beyond linear response
It describes the quantum dynamics in one eigenbasis (the instantaneous eigenbases \(\left\vert {m}_{0}\right\rangle\) and \(\left\vert {n}_{\tau }\right\rangle\) of the system Hamilton operator at times 0 and Ï„) conditioned on the evolution in another incompatible eigenbasis (the instantaneous eigenbases \(\left\vert {i}_{0}\right\rangle\) and \(\left\vert {j}_{\tau }\right\rangle\) of the system density operator at times 0 and Ï„). Owing to the presence of quantum coherence, these eigenbases are not mutually orthogonal. The eigenstates of the reservoir Hamiltonian are denoted \(\left\vert \mu \right\rangle\) and \(\left\vert \nu \right\rangle\).
