Objective
The assumption that the plain vanilla single-band Hubbard model captures the relevant physics of the cuprate materials has been a key motivation for a host of numerical work and quantum simulation experiments. Recent numerical advances challenge this assumption and raise the pressing question: which minimal model can be used to understand quantum materials exhibiting unconventional superconductivity?
However, extracting the relevant Hamiltonian of real materials is a formidable challenge and usually involves ab-initio methods that only approximately capture strong correlations.
The goal of QuaQuaMA is to perform Hamiltonian reconstruction for materials by developing a novel approach where strong correlations take center stage: we will systematically compare observables from experiments on materials with quantum simulators and large-scale numerics, which directly take strong interactions into account. Building upon this year’s Nobel prize work, we will develop and use neural networks to simulate interacting quantum many-body systems. The number of simulations for different candidate Hamiltonians will be minimized through a highly efficient, machine learning based exploration of the vast parameter space.
Our advanced numerical methods, in combination with quantum simulation experiments, will also enable the exploration of the phase diagrams of the determined effective Hamiltonians, employing novel observables to reveal the underlying physics.
We will focus on three particularly interesting, related material classes with the ultimate goal to distill the essence of unconventional superconductivity: cuprates, infinite layer nickelates, and bilayer nickelates.
The Hamiltonian reconstruction framework established in QuaQuaMA will be applicable far beyond these materials, for example to study effective Hamiltonians in the context of light-induced superconductivity, thus generating an enormous impact in the fields of strongly correlated electron systems and quantum simulat
Keywords
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Project’s keywords as indicated by the project coordinator. Not to be confused with the EuroSciVoc taxonomy (Fields of science)
Programme(s)
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
Multi-annual funding programmes that define the EU’s priorities for research and innovation.
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HORIZON.1.1 - European Research Council (ERC)
MAIN PROGRAMME
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Topic(s)
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
Calls for proposals are divided into topics. A topic defines a specific subject or area for which applicants can submit proposals. The description of a topic comprises its specific scope and the expected impact of the funded project.
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.
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.
HORIZON-ERC - HORIZON ERC Grants
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Call for proposal
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
Procedure for inviting applicants to submit project proposals, with the aim of receiving EU funding.
(opens in new window) ERC-2025-STG
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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.
80539 MUNCHEN
Germany
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.