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Content archived on 2024-06-18

Simulating correlated fermions

Objective

"This proposal concerns simulations for correlated fermionic quantum systems where strong quantum effects give rise to a plethora of fascinating phenomena and new methodological developments are needed for their understanding. Ultracold Fermi gases in optical lattices provide a unique opportunity: being simpler and more controlled and tuneable than condensed matter material they are not only ideal experimental realizations of correlated fermions but also provide an excellent testing ground for numerical simulation methods. Over the past years we have developed new algorithmic approaches, including continuous time quantum Monte Carlo (QMC) methods and diagrammatic Monte Carlo methods for fermionic simulations. These new methods provide performance improvements of many orders of magnitude compared to previous state of the art methods. In this project we will further develop these algorithms and implement them on new massively parallel petaflop supercomputers. This will enable reliable simulations of correlated fermionic quantum systems, such as single and multi-band Hubbard models first in cold atomic gases, and later in realistic models for materials. A second line of research will be the development of Kohn-Sham density-functional theory (DFT) for ultracold atomic gases. DFT based on density functional for the electron gas is the main workhorse for materials simulation, but it is challenging to apply it to the strongly correlated regime. With a DFT method for atomic gases we will, on the one hand, be able to solve challenging problems in ultracold gases. On the other hand and maybe even more important will be the ability to use cold gases to improve hybrid functionals for the strongly correlated regime. This will form a strong link between ultracold gases and materials science, stronger than the Hubbard model that is the focus of attention at the moment."

Fields of science (EuroSciVoc)

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Topic(s)

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Call for proposal

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ERC-2011-ADG_20110209
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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-AG - ERC Advanced Grant

Host institution

EIDGENOESSISCHE TECHNISCHE HOCHSCHULE ZUERICH
EU contribution
€ 2 023 980,00
Address
Raemistrasse 101
8092 Zuerich
Switzerland

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Region
Schweiz/Suisse/Svizzera Zürich Zürich
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.

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Beneficiaries (1)

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