Can the Macroscopic Fluctuation Theory be Quantized?
Denis Bernard
备注：
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"
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.
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Institute of Physics, Johannes Gutenberg University Mainz（美因茨约翰内斯·古腾堡大学物理研究所）；School of Physics and Astronomy, University of St Andrews（圣安德鲁斯大学物理与天文学学院）；Department of Physics, University of Konstanz（康斯坦茨大学物理系）
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Instituto Superior Técnico, Universidade de Lisboa（里斯本大学高等技术学院）；CY Cergy Paris Université, CNRS（塞吉-蓬图瓦兹大学CNRS）；Laboratoire de Physique de l’École Normale Supérieure, ENS, Université PSL, CNRS, Sorbonne Université, Université Paris-Cité（巴黎高等师范学院物理实验室，巴黎文理研究大学，法国国家科学研究中心，索邦大学，巴黎西岱大学）
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Dipartimento di Matematica, Università di Roma ‘La Sapienza’（罗马大学数学系）；CNRS Laboratoire Ypatia des Sciences Mathématiques (LYSM)（法国国家科学研究中心耶帕蒂亚数学科学实验室）；DISIM, Università dell’ Aquila（阿奎拉大学DISIM）；Dipartimento di Fisica and INFN, Università di Roma ‘La Sapienza’（罗马大学物理系及意大利国家核物理研究所）
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