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Correlations in Large Quantum Systems

This project is devoted to the mathematical analysis of important physical properties of many-body quantum systems. We will be interested in properties of the ground state and low-energy excitations but also of non-equilibrium dyn... ver más

28/02/2025

UZH

2M€

Presupuesto del proyecto: 2M€

Líder del proyecto

UNIVERSITAT ZURICH No se ha especificado una descripción o un objeto social para esta compañía.

TRL 4-5

Ver 2 Participantes

Financiación concedida El organismo H2020 notifico la concesión del proyecto el día 2019-04-03

Línea de financiación objetivo El proyecto se financió a través de la siguiente ayuda:

ERC-2018-ADG: ERC Advanced Grant

I+D

Cerrada hace 6 años

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2 Participantes

UZH

1.88M€ | Lider

UNION INDUSTRIAL PAPELERA

893.69K€ | Participante

Últimas noticias

02-12-2024: AGENCIA-VALENCIANA-D... En las últimas 48 horas el Organismo AGENCIA VALENCIANA D... ha otorgado 1 concesiones

02-12-2024: CDTI En las últimas 48 horas el Organismo CDTI ha otorgado 4 concesiones

01-12-2024: REDES En las últimas 48 horas el Organismo REDES ha otorgado 1337 concesiones

Duración del proyecto: 70 meses Fecha Inicio: 2019-04-03
Fecha Fin: 2025-02-28

Líder del proyecto

UNIVERSITAT ZURICH

TRL 4-5

Presupuesto del proyecto 2M€

Descripción del proyecto This project is devoted to the mathematical analysis of important physical properties of many-body quantum systems. We will be interested in properties of the ground state and low-energy excitations but also of non-equilibrium dynamics. We are going to consider systems with different statistics and in different regimes. The questions we are going to address have a common aspect: correlations among particles play a crucial role. Our main goal consists in developing new tools that allow us to correctly describe many-body correlations and to understand their effects. The starting point of our proposal are ideas and techniques that have been introduced in a series of papers establishing the validity of Bogoliubov theory for Bose gases in the Gross-Pitaevskii regime, and in a recent preprint showing how (bosonic) Bogoliubov theory can also be used to study the correlation energy of Fermi gases. In this project, we plan to develop these techniques further and to apply them to new contexts. We believe they have the potential to approach some fundamental open problem in mathematical physics. Among our most ambitious objectives, we include the proof of the Lee-Huang-Yang formula for the energy of dilute Bose gases and of the corresponding Huang-Yang formula for dilute Fermi gases, as well as the derivation of the Gell-Mann--Brueckner expression for the correlation energy of a high density Fermi system. Furthermore, we propose to work on long-term projects (going beyond the duration of the grant) aiming at a rigorous justification of the quantum Boltzmann equation for fermions in the weak coupling limit and at a proof of Bose-Einstein condensation in the thermodynamic limit, two very challenging and important questions in the field.

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