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Constraints on Non-Equilibrium fluctuations

Project description

Non-equilibrium fluctuations: periodic driving in classical and quantum systems

Most phenomena in everyday systems are not in equilibrium. In addition, driving classical and quantum systems initially in equilibrium with periodic input can significantly alter long-term dynamics and induce the emergence of exotic states and behaviours. Understanding non equilibrium behaviours of periodically driven systems will lead to effective control with numerous applications. However, much less is known about non-equilibrium fluctuations in both classical and quantum mechanical systems. With the support of the Marie Sklodowska-Curie Actions programme, the ConNEqtions project will derive new and rigorous analytical results on the statistics of fluctuating observables in non-equilibrium processes. This will lead to the derivation of new thermodynamic uncertainty relations in quantum systems with periodic driving.

Objective

"Equilibrium statistical mechanics has provided a suitable setting to explain the thermodynamic behavior of macroscopic physical systems. Instead, much less is known about systems out of equilibrium that contribute to the vast majority of phenomena people experience everyday. In this project, ""Constraints on Non-Equilibrium fluctuations"" (ConNEqtions), we aim at deriving new and rigorous analytical results on the statistics of fluctuating observables in non-equilibrium processes. In particular, the emphasis will be on the thorough analysis of classical and quantum periodically driven systems, that constitute a timely and active topic of research. The first objective of the project is the generalization to periodically-driven Markov processes of the symmetry-induced fluctuation relations studied by the Researcher and his collaborators. The second objective is the generalization to the quantum domain of important results about level 2.5 large deviations, already established for classical time-periodic Markov chains. This in turn will lead to the derivation of new thermodynamic uncertainty relations in quantum systems with periodic driving. The project is built as an interdisciplinary effort, combining the physical background of the Researcher with the mathematical expertise of the Supervisor."

Coordinator

UNIVERSITE COTE D'AZUR
Net EU contribution
€ 195 914,88
Address
GRAND CHATEAU 28 AVENUE VALROSE
06100 Nice
France

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Region
Provence-Alpes-Côte d’Azur Provence-Alpes-Côte d’Azur Alpes-Maritimes
Activity type
Higher or Secondary Education Establishments
Links
Total cost
No data