Introduction to quantum exclusion processes
Probability
2025-12-08 v2 Statistical Mechanics
Mathematical Physics
math.MP
Abstract
The QSSEP, short for quantum symmetric simple exclusion process, is a paradigm model for stochastic quantum dynamics. Averaging over the noise, the quantum dynamics reduce to the well-studied SSEP (symmetric simple exclusion process). These notes provide an introduction to quantum exclusion processes, focusing on the example of QSSEP and its connection to free probability, with an emphasis on mathematical aspects.
Keywords
Cite
@article{arxiv.2507.01570,
title = {Introduction to quantum exclusion processes},
author = {Guillaume Barraquand and Denis Bernard},
journal= {arXiv preprint arXiv:2507.01570},
year = {2025}
}
Comments
29 pages. v2: minor edits