Can the Macroscopic Fluctuation Theory be Quantized?
Statistical Mechanics
2021-11-05 v2 Mathematical Physics
math.MP
Quantum Physics
Abstract
The Macroscopic Fluctuation Theory is an effective framework to describe transports and their fluctuations in classical out-of-equilibrium diffusive systems. Whether the Macroscopic Fluctuation Theory may be extended to the quantum realm and which form this extension may take is yet terra incognita but is a timely question. In this short introductory review, I discuss possible questions that a quantum version of the Macroscopic Fluctuation Theory could address and how analysing Quantum Simple Exclusion Processes yields pieces of answers to these questions.
Cite
@article{arxiv.2107.04442,
title = {Can the Macroscopic Fluctuation Theory be Quantized?},
author = {Denis Bernard},
journal= {arXiv preprint arXiv:2107.04442},
year = {2021}
}
Comments
28 pages plus references, 5 figures. Prepared as a contribution to a special volume of Journal of Physics A on "Hydrodynamics of Low-Dimensional Quantum Systems"