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Nonequilibrium Quantum Matter beyond Unitary Dynamics

Project description

Quantum matter beyond unitary dynamics

Quantum simulators can explore complex many-body correlations in regimes where systems evolve under both unitary and nonunitary dynamics (dissipation, measurements, and feedback). However, theory has largely focused on near-unitary behaviour. The ERC-funded QMbeyondU project aims to establish a new paradigm of nonequilibrium quantum matter beyond unitary dynamics. Integrating quantum condensed matter physics, quantum information theory, and atomic-molecular-optical physics, the project will develop tools to describe quantum density matrices and measure entanglement, formulate a theory of phenomena driven by nonunitary effects, and guide experimental platforms in realising and validating these states. By uncovering universal behaviours in monitored and driven quantum systems, QMbeyondU is designed to advance fundamental physics and quantum information processing.

Objective

The field of quantum simulation holds immense promise for exploring new physical phenomena, however unlocking its full potential requires a paradigm shift. Modern quantum simulators naturally allow to measure a broad class of multi-body correlation functions for which we are lacking adequate theory, and operate in an uncharted regime where the system is subject to intrinsic unitary dynamics and driving, as well as nonunitary dynamics such as dissipation, projective or weak measurements, and feedback. In contrast, traditional theory often considers approximately unitary dynamics and simple observables. The goal of the QMbeyondU grant is to establish the paradigm of nonequilibrium quantum matter beyond unitary dynamics, uncovering quantum phenomena where nonunitary dynamics is essential.

The proposed theoretical framework relies on a synergy between quantum condensed matter physics, quantum information theory, and atomic-molecular-optical physics and consists of three work packages (WP). The first two WPs will address (I) a description of quantum density matrices and toolbox for measuring observables such as entanglement, which cannot be efficiently accessed in most general settings, and (II) a theory of physical phenomena in quantum matter enabled by the interplay of intrinsic interactions and non-unitary dynamics, such as entangled nonequilibrium steady states and phase transitions, universal aspects of quantum quenches, and phenomena realized in monitored quantum systems with feedback. Results from WPs (I)-(II) are synthesised in WP (III) to guide various atomic and solid-based quantum simulation platforms in realizations of physical phenomena theoretically described in WP (II), and their validation using measurement tools from WP (I).

The theory delivered by this project will uncover universal behaviors of nonequilibrium quantum systems beyond unitary dynamics and will help advance our ability to efficiently store and process quantum information.

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HORIZON-ERC - HORIZON ERC Grants

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Call for proposal

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(opens in new window) ERC-2025-COG

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Host institution

INSTITUTE OF SCIENCE AND TECHNOLOGY AUSTRIA
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.

€ 1 999 492,00
Address
Am Campus 1
3400 Klosterneuburg
Austria

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Region
Ostösterreich Niederösterreich Wiener Umland/Nordteil
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.

€ 1 999 492,00

Beneficiaries (1)

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