Summary
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.
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| Web resources: | https://cordis.europa.eu/project/id/101065295 |
| Start date: | 01-09-2022 |
| End date: | 31-08-2024 |
| Total budget - Public funding: | - 188 590,00 Euro |
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Original description
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.Status
SIGNEDCall topic
HORIZON-MSCA-2021-PF-01-01Update Date
09-02-2023
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