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.
[1] Jaynes, E. T. (1957), Physical Review. Series II. 106 (4): 620–630.
[2] R. Balian, Y. Alhassid, and H. Reinhardt, Physics Reports 131, 1–146 (1986).
[3] FTB. Pérez and JM. Matera, ArXiv 2307.08683 (Preprint, 2024).
De Mathias Albert
De Jean-Sébastien Caux
De Federico Tomás Benito Pérez
De David Hernandez
De Yura Rubo
De Ramasubramanian Chitra
De Tomaž Prosen
De Tomaž Prosen
De Tomaž Prosen
De Zouhaïr Mouayn
De Romain Dubessy
De Serguei Brazovski
De Serguei Brazovski
De Pierre Pujol
De Zvi Ovadyahu
De Andrea Richaud
De Janine Splettstoesser
De Alberto Biella
De Thierry Giamarchi
De Albert Schwarz
De Albert Schwarz
De Clément Delcamp
De Clément Delcamp
De Clément Delcamp
De Stephen Coombes , Peter Liddle
De Victor Kleptsyn
De François-Xavier Vialard
