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New states of Entangled Matter Out of equilibrium

Objective

When an extended quantum system is suddenly brought out of thermodynamic equilibrium all excitations collectively participate in the ensuing quench dynamics, causing a plethora of unconventional and exotic effects, in particular in low spatial dimensions where the effects of interactions and integrability are enhanced. The theoretical study of the non-equilibrium dynamics is hampered by the fact that the time dependent many-body wave function is highly entangled on spatial scales which rapidly grow in time. Consequently, a satisfactory description of the quench dynamics is a timely challenge whose solution cannot prescind from a precise characterisation of the entanglement content of the systems of interest.

The ambitious goal of this proposal is to find and characterise new non-equilibrium states of matter guided by their entanglement content. Two parallel lines of research will help achieving this goal. One line concerns the study of some entanglement indicators like entanglement Hamiltonian, spectrum, negativity and relative entropies which, contrary to the entanglement entropy, are not yet widely used as tools for investigating many-body systems. The other line focuses on the study of some frontiers of non-equilibrium one-dimensional physics which include quantum quenches in spinful fermionic systems, the determination of the exact time dependence of correlation functions after a quench, and the use of integrable hydrodynamics for investigating transport in one-dimensional systems. Particular attention will be devoted to the experimental realisation of the proposed non-equilibrium protocols. The main tools to achieve these goals will be conformal field theories and integrability complemented by numerical simulations when the former two are not applicable.

Keywords

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Programme(s)

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Topic(s)

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Funding Scheme

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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-2017-COG

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Host institution

SCUOLA INTERNAZIONALE SUPERIORE DI STUDI AVANZATI DI TRIESTE
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.

€ 1 521 423,00
Address
VIA BONOMEA 265
34136 Trieste
Italy

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Region
Nord-Est Friuli-Venezia Giulia Trieste
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.

€ 1 521 423,00

Beneficiaries (1)

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