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Fluctuation Anomaly of Quantum systems

Project description

Anomalous fluctuations in strongly interacting quantum systems

In large systems composed of many elements – from classical particles to societies – fluctuations around average values follow predictable statistical laws rooted in the central limit theorem. Strongly interacting many-body quantum systems exhibit anomalous fluctuations that deviate from these expectations. With the support of the Marie Skłodowska-Curie Actions programme, the FAQs project aims to investigate this phenomenon. It will integrate approaches from hydrodynamics, integrable probability and exact solutions of minimal quantum models with analytical and numerical techniques. By elucidating the hydrodynamic origins of anomalous fluctuations, determining microscopic mechanisms in quantum spin chains, and addressing open problems in non-equilibrium dynamics, FAQs will facilitate the exploitation of quantum correlations in emerging quantum technologies.

Objective

Among the most robust phenomena characterizing systems composed of a large numbers of constituents is the emergence of normal fluctuations around the mean. However, in semi-classical limits of strongly-interacting many-body quantum systems, anomalous fluctuations have been observed, indicating nontrivial extensions of central limit behavior to correlated systems. Understanding such universal behavior, probed in recent experiments using state of the art quantum simulators, is a crucial step towards identifying, characterizing and controling emergent phenomena that will underpin novel quantum computing technologies in line with Cluster 4 of the Horizon Europe Work Programme.

The project FAQs-Fluctuation Anomaly of Quantum systems will advance the state of the art concerning fluctuations of quantum systems using analytical and numerical techniques. A multifaceted understanding of quantum fluctuations will be obtained by combining ideas and techniques of hydrodynamics, integrable probability and exact solutions of minimal quantum models. The project will first elucidate the hydrodynamic origin of anomalous fluctuations in strongly interacting quantum systems and describe the resultant universality class. To achieve a deeper understanding of quantum dynamics, the microscopic origin of convective diffusion will be worked out exactly by applying the tools of integrable combinatorics to quantum spin chains. Finally, the project will address the important open problem of partial Kardar-Parisi-Zhang physics in the dynamics of the Heisenberg spin chain.

Fields of science (EuroSciVoc)

Keywords

Programme(s)

Topic(s)

Funding Scheme

HORIZON-TMA-MSCA-PF-EF - HORIZON TMA MSCA Postdoctoral Fellowships - European Fellowships

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Call for proposal

(opens in new window) HORIZON-MSCA-2025-PF

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Coordinator

UNIVERZA V LJUBLJANI
Net EU contribution
€ 182 717,52
Address
KONGRESNI TRG 12
1000 Ljubljana
Slovenia
Region
Slovenija Zahodna Slovenija Osrednjeslovenska
Activity type
Higher or Secondary Education Establishments
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Total cost
No data

Partners (1)