Apparaît dans la collection : 2024 - T1 - Quantum many-body systems out-of-equilibrium

To address challenges in dealing with approximate effective dynamics and non-Gaussian correlations, it is crucial to acknowledge that both exact dynamics and Mean Field Theoretic (MFT) approaches are confined to Max-Ent manifolds $\mathcal{M}_\text{Max-Ent}$ of states $σ$ [1, 2]. Within these manifolds, the system’s state, guided by an orthogonally-projected Schrödinger equation of motion, maximizes the von Neumann entropy while sharing expectation values of a set of independent observables, giving rise to a self-consistency condition.

This seminar introduces a variation of the formalism that relaxes the self-consistency condition and employs a simpler form of orthogonal projection, reducing the numerical complexity associated with solving these equations of motion [3]. Consequently, a system of non-linear differential equations governing the dynamics of the logarithm of the density operator emerges, independent of the chosen observables. Our approach, accomplished through a systematic expansion of the basis of operators, facilitates non-perturbative approximations to exact dynamics.