Project description
Advanced analytical tools for quantum system research
Understanding how complex quantum systems behave is necessary for improving future technologies such as quantum computers and simulators. Most systems tend to settle into predictable states, while some systems resist this process and display behaviour that deviates from standard expectations. With the support of the Marie Skłodowska-Curie Actions programme, the SemiLIOM project aims to understand one such effect called many-body localisation, in which interacting particles exhibit high disorder and do not mix as expected. The project will take ideas from classical physics and apply them to the modern quantum theory of many-body systems to develop new analytical tools. The study is designed to describe the transition from predictable to unpredictable behaviour in many-body systems.
Objective
The detailed understanding of quantum many-body effects is a highly relevant task in modern condensed matter physics. It is assumed that quantum many-body systems generically exhibit a notion of ergodicity, captured by the eigenstate thermalization hypothesis. However, it is numerically observed that there exist various ergodicity-breaking effects, which violate this assumption of fundamental thermodynamics. The most prominent example of such ergodicity-breaking is many-body localization (MBL), which arises from an emergent integrability induced by local integrals of motion. Despite the conceptual analytic intuition, most investigations on many-body localization are confined to small-sized numerical studies, only. The project goes beyond this state in devising an analytical view on ergodicity-breaking by combining concepts from many-body physics with modern classical and semiclassical techniques. The aim of this project is to rigorously transfer the notion of classical integrability by means of the Kolmogorov-Arnold-Moser (KAM) theory towards the emergent integrability of MBL in the semiclassical regime. To this end, the study provides a detailed understanding of the transition from MBL to ergodicity, and thereby lays out the foundations for a many-body KAM theory in terms of symplectic geometry. Furthermore, as entanglement is the central observable of ergodicity-breaking, the project is complemented with an analytical investigation of entanglement in the semiclassical regime. The current advances in the experimental realization of quantum simulators and quantum computers render this project to be highly relevant and timely. The completion of the project will provide the missing link between classical KAM theory and quantum mechanics and establishes a firm foundation for future investigations of the quantum-classical correspondence in many-body systems.
Fields of science (EuroSciVoc)
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
CORDIS classifies projects with EuroSciVoc, a multilingual taxonomy of fields of science, through a semi-automatic process based on NLP techniques. See: The European Science Vocabulary.
- natural sciences physical sciences thermodynamics
- natural sciences mathematics pure mathematics geometry
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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.1.2 - Marie Skłodowska-Curie Actions (MSCA)
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-TMA-MSCA-PF-EF - HORIZON TMA MSCA Postdoctoral Fellowships - European Fellowships
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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) HORIZON-MSCA-2024-PF-01
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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.
4000 LIEGE
Belgium
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.