Innovating Works

RDMFTforbosons

Financiado
Extending the scope of Reduced Density Matrix Functional Theory for bosons
The one-body reduced density matrix plays a fundamental role in describing and predicting general quantum features of bosonic systems, such as Bose-Einstein condensation (BEC) or mode entanglement. The recently proposed reduced de... The one-body reduced density matrix plays a fundamental role in describing and predicting general quantum features of bosonic systems, such as Bose-Einstein condensation (BEC) or mode entanglement. The recently proposed reduced density matrix functional theory for bosonic ground states establishes the existence of a universal functional that recovers quantum correlations exactly. So far, this novel theoretical framework has been used to study the universal properties of homogeneous BECs, to prove the existence of the so-called Bose-Einstein repulsive force, which explains quantum depletion in a geometrical fashion, or to efficiently compute well known ground-state properties of translation-invariant homogeneous bosonic systems. Our main purpose in this project is to extend the scope of this reduced density matrix functional theory to systems with broken symmetries, heterogeneous mixtures of bosonic systems, dipolar gases, and bosonic systems at finite temperatures. Our methodology combines analytical approaches and machine learning implementations, in which we have already gained strong expertise. We believe that the achievement of these objectives will offer a range of fascinating possibilities. Just to mention a few, any trap potential could be considered and linear response coefficients become easily accessible. Furthermore, in analogy to many-body localization for electrons, the influence of disorder and interparticle interactions on BECs can be studied in a more direct manner. Universal properties of dipolar gases and bosonic mixtures in the relevant regimes of supersolidity and droplets can potentially be unveiled. ver más
31/08/2024
Presupuesto desconocido
Duración del proyecto: 23 meses Fecha Inicio: 2022-09-01
Fecha Fin: 2024-08-31

Línea de financiación: concedida

El organismo HORIZON EUROPE notifico la concesión del proyecto el día 2024-08-31
Línea de financiación objetivo El proyecto se financió a través de la siguiente ayuda:
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UNIVERSITA DEGLI STUDI DI TRENTO No se ha especificado una descripción o un objeto social para esta compañía.
Perfil tecnológico TRL 4-5