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Geometric approach to many-body quantum chaos

Project description

New tools to uncover hidden patterns in quantum chaotic behaviour

The ERC-funded GeoChaos project explores the universal principles behind quantum chaotic dynamics, which appear in everything – from thermalisation in quantum systems to black hole physics. To unify these phenomena, GeoChaos will construct two frameworks: a unified effective field theory for chaos and the chaos/gravity correspondence. The latter will connect quantum chaos to gravitational dynamics, revealing how spacetime might emerge from chaotic quantum systems. Combining exact analytical computations in solvable models with the effective field theory framework, the proposed research aims to advance understanding of quantum chaos that is currently actively explored in quantum simulation experiments.

Objective

Quantum chaotic dynamics is in the focus of many current developments in physics, ranging from thermalisation in closed quantum systems to the black hole information puzzle. Recently, experimentalists have made great strides in controlling quantum dynamics, and theorists have developed solvable models to study many-body quantum chaos. To uncover what aspects of these results are universal and how different chaotic phenomena across time scales are related, a coherent framework unifying and extending recent developments is called for. This project will develop two new paradigms that unify different manifestations of quantum chaotic dynamics and bridge disciplines.

In the quest for a common dynamical explanation of different chaotic phenomena, we will construct a Unified effective field theory (EFT) for chaos. In parallel, we will capitalise on the holographic Gauge/String duality that gives geometric insights into strongly coupled quantum dynamics to draw connections between gravity and chaos. By developing a holographic dictionary between the Unified EFT and gravity, we will build the Chaos/Gravity correspondence, a novel framework that uncovers how spacetime and its gravitational dynamics emerges from chaos in quantum field theories.

Our methodology consists of exact analytical computations in solvable models, the study of chaotic phenomena in universal kinematic regimes, and the description of these results in the framework of EFT. These steps lay the foundations for conceptual leaps to the Unified EFT and the Chaos/Gravity correspondence that will be pursued in synergy.

The two new paradigms will transform our understanding of many-body quantum chaos. The benefits of a systematic approach will be multifold: we will establish new quantitative relations between data characterising chaos, make experimental predictions about non-equilibrium phenomena at large system sizes, and potentially uncover new signatures of quantum chaos.

Fields of science (EuroSciVoc)

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Programme(s)

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Topic(s)

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Funding Scheme

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HORIZON-ERC - HORIZON ERC Grants

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Call for proposal

Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.

(opens in new window) ERC-2024-COG

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Host institution

THE CHANCELLOR, MASTERS AND SCHOLARS OF THE UNIVERSITY OF OXFORD
Net EU contribution

Net EU financial contribution. The sum of money that the participant receives, deducted by the EU contribution to its linked third party. It considers the distribution of the EU financial contribution between direct beneficiaries of the project and other types of participants, like third-party participants.

€ 1 999 988,00
Address
WELLINGTON SQUARE UNIVERSITY OFFICES
OX1 2JD Oxford
United Kingdom

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Region
South East (England) Berkshire, Buckinghamshire and Oxfordshire Oxfordshire
Activity type
Higher or Secondary Education Establishments
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Total cost

The total costs incurred by this organisation to participate in the project, including direct and indirect costs. This amount is a subset of the overall project budget.

€ 1 999 988,00

Beneficiaries (1)

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