Project description
Mapping quantum measurement and entanglement
Understanding complex quantum systems now requires exploring dynamics far beyond traditional ground-state behaviour. With this in mind, the ERC-funded STAQQ project aims to build a statistical mechanics of measurement and entanglement. Specifically, it will investigate how measurements, entanglement, and environmental effects shape quantum phases. The project will develop new theories for criticality in measurement-induced transitions, will map dynamical phases in nonunitary systems, and will extend computational tools from random circuits to realistic quantum materials. It will also explore classical analogues of these transitions and use insights from quantum dynamics to tackle phase transitions beyond conventional field theory. STAQQ promises to reveal the universal principles governing quantum measurement, entanglement, and emergent behaviour in complex systems.
Objective
"This proposal will provide five key planks for a new ""statistical mechanics of measurement and entanglement"" that is made necessary by several lines of progress.
Historically, the powerful theory of emergence in complex quantum systems was developed largely for many-body systems evolving with a time-independent Hamiltonian, usually very close to their ground state. Now, we must understand universality and emergence for a much broader range of quantum dynamical systems.
The reasons are several. First, highly controllable quantum simulators are becoming experimental reality: instead of being constrained to Schrdinger dynamics with a fixed Hamiltonian, an ideal device allows arbitrary combinations of unitary evolution, repeated local measurements, and control operations. This larger arena allows new dynamical phases, as demonstrated by the measurement phase transition co-invented by the PI. Second, the ""hydrodynamics"" of many-body systems far from their ground state - perhaps coupled to an environment - is richer than expected, even for dynamics with a fixed Hamiltonian. New methods also mean it can be understood and computed in detail.
The ambitious objectives of STAQQ are:
1) Develop the theory of criticality due to measurement. Entanglement phase transitions are fundamentally different from simple ordering transitions - they require new tools.
2) Map out the broader landscape of dynamical phases in nonunitary quantum systems (with environmental decoherence and/or control operations).
3) Extend powerful computational tools developed (partly by the PI) in simple random circuit models to realistic condensed matter/cold atom Hamiltonians - yielding a detailed theory for the emergence of hydrodynamics (broadly construed).
4) Develop classical analogues of the measurement transitions above - a new branch of classical critical phenomena.
5) Use insights from quantum dynamics to understand ""beyond-field-theory"" quantum phase transitions, where standard tools fail."
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)
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Topic(s)
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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
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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-2024-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.
75794 PARIS
France
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