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Taming Non-Equilibrium Quantum Matter

Project description

Shedding light on non-equilibrium quantum dynamics

When driven out of equilibrium, the properties of a quantum system change and can lead to new states of matter. With this in mind, the EU-funded TANQ project seeks to develop a fundamental theoretical understanding of non-equilibrium dynamics and highly excited eigenstates in quantum many-body systems. Adopting a multidisciplinary approach, it will study the fundamental mechanisms of ergodicity breaking and establish universality classes of quantum dynamics. Quantum entanglement-based renormalisation and tensor-network methods that can overcome the exponential growth of the many-body Hilbert space will also be developed, in addition to approaches for manipulating quantum matter and realising new non-equilibrium phases. The project will result in a universal theoretical framework for non-equilibrium quantum dynamics.

Objective

Recent experimental breakthroughs led to realization of tunable, synthetic quantum systems that allow one to probe and manipulate highly non-equilibrium quantum matter. Driving a system ouf-of-equilibrium changes its properties in unexpected ways, opening opportunities for realizing new states of matter. The central goal of this project is to develop a fundamental theoretical understanding of non-equilibrium dynamics and highly excited eigenstates in quantum many-body systems. The conventional wisdom tells that a non-equilibrium system thermalizes, and can then be described by statistical-mechanics. However, recent breakthroughs revealed an experimentally relevant class of systems, the prime example being disordered, many-body localized (MBL) systems, which defy this wisdom, avoiding thermalization. Ergodicity-breaking systems open new avenues for protecting quantum coherence, and for realizing new non-equilibrium phases of matter. We will study the fundamental mechanisms of ergodicity breaking using a multi-disciplinary approach, which builds on techniques from quantum information, condensed matter physics, quantum optics and mathematical physics. We aim to establish universality classes of quantum dynamics, by studying disordered systems with symmetries, and by characterizing entirely new mechanisms of ergodicity breaking, such as quantum many-body scars. In order to overcome the exponential growth of the many-body Hilbert space, new efficient renormalization and tensor-network methods based on quantum entanglement will be developed. Finally, approaches for manipulating quantum matter and realizing new non-equilibrium phases in ongoing experiments will be developed.
The completion of this project will lead to a universal theoretical framework for non-equilibrium quantum dynamics, complementing statistical-mechanics in ergodic systems. Such a framework will enable engineering quantum-coherent many-body states with novel properties and functionalities.

Keywords

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Programme(s)

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Topic(s)

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Funding Scheme

Funding scheme (or “Type of Action”) inside a programme with common features. It specifies: the scope of what is funded; the reimbursement rate; specific evaluation criteria to qualify for funding; and the use of simplified forms of costs like lump sums.

ERC-COG - Consolidator Grant

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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-2019-COG

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Host institution

ECOLE POLYTECHNIQUE FEDERALE DE LAUSANNE
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.

€ 1 022 335,34
Address
BATIMENT CE 3316 STATION 1
1015 LAUSANNE
Switzerland

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Region
Schweiz/Suisse/Svizzera Région lémanique Vaud
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.

€ 1 022 335,34

Beneficiaries (2)

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