# Can the macroscopic fluctuation theory be quantized?

@article{Bernard2021CanTM, title={Can the macroscopic fluctuation theory be quantized?}, author={Denis Bernard}, journal={Journal of Physics A: Mathematical and Theoretical}, year={2021}, volume={54} }

The macroscopic fluctuation theory (MFT) is an effective framework to describe transports and their fluctuations in classical out-of-equilibrium diffusive systems. Whether the MFT 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 MFT could address and how analysing quantum simple exclusion processes yields pieces of answers to…

## 3 Citations

Dynamics of Fluctuations in the Open Quantum SSEP and Free Probability

- Physics
- 2022

The quantum symmetric simple exclusion process (Q-SSEP) is a simple model of spinless fermions hopping on a one-dimensional chain to neighboring sites with random amplitudes. It was proposed as a toy…

Dynamics of fluctuations in quantum simple exclusion processes

- PhysicsSciPost Physics
- 2022

We consider the dynamics of fluctuations in the quantum asymmetric simple exclusion process (Q-ASEP) with periodic boundary conditions.
The Q-ASEP describes a chain of spinless fermions with random…

Correlation functions of the Bjorken flow in the holographic Schwinger-Keldysh approach

- Physics
- 2022

One of the outstanding problems in the holographic approach to many-body physics is the explicit computation of correlation functions of non-equilibrium states. In this work, we develop the method to…

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