Objective
The systematic understanding of equilibrium collective phenomena through the principles of symmetry and scale is one of the landmark achievements of last century's theoretical physics. The present day analogue is to deduce the laws governing the collective phenomena occurring out of equilibrium, and their basic organising principles, with particular attention to those in complex quantum systems. Solving this problem requires us to overcome the monumental obstacle represented by the lack of general methods to study large interacting quantum systems out of equilibrium.
This project tackles this problem from a new perspective based on a “duality” between space and time. The basic idea is that by exchanging the roles of time and one of the spatial coordinates one can turn questions about the non-equilibrium properties of a given system into questions about the stationary properties of a different “dual system”. The price to pay is that the dual system generically undergoes hybrid quantum dynamics involving both unitary evolution and measurements. Nevertheless, this viewpoint allows one to think about non-equilibrium quantum matter through our conventional lenses based on equilibrium physics.
The project is structured in two main branches. The first aims at identifying minimal interacting models where the steady state of the dual evolution is exactly accessible, thus yielding new paradigms of solvable many-body dynamics. The second branch aims to go beyond exact solvability. It will provide a classification of the steady states of the space evolution through the lenses of entanglement, link them to the basic features of the evolution, and aid the development of numerical schemes. It will also formulate a perturbative approach to describe non-equilibrium quantum many-body dynamics away from the solvable points. Together, these two branches will lay the foundation for a comprehensive theory of non-equilibrium quantum matter.
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.
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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.1.1 - 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-COG
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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.
B15 2TT Birmingham
United Kingdom
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.