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Dynamics and REplica Analysis of Monitored Systems

Project description

Unravelling the dynamics of monitored quantum systems

Monitored quantum systems exhibit intriguing dynamics owing to the interplay between monitoring (measuring) and natural system (unitary) changes. This competition can lead to phase transitions, seen when entangled parts of the system form or how quickly a mixed state becomes pure. Funded by the Marie Skłodowska-Curie Actions programme, the DREAMS project aims to unravel the complex behaviours of these systems. Using a replica approach, researchers will frame system evolution through linear equations. DREAMS will focus on analysing fully connected models for exact solutions, studying finite-range interacting systems to validate predictions and reinterpreting findings within existing theoretical frameworks. The research holds significant implications for quantum information technologies, including error correction and quantum control.

Objective

The DREAMS (Dynamics and REplica Analysis of Monitored Systems) project aims to understand the physics of monitored quantum systems, i.e. many-body systems that periodically undergo a series of repeated
local measurements. The competition between the monitoring and the unitary dynamics, which respectively favor and hinder the building up of non-local quantum correlations, can give rise to a measurement-induced
phase transition. Such a transition can be detected, for example, by looking at the growth of the entanglement of a subsystem or the purification time-scale of an initially mixed state.
As entanglement is a central quantity in quantum information, a complete understanding of the dynamics of monitored systems and their critical behavior would have significant consequences both at the theoretical
level and in the development of quantum technologiessuch as error correction and quantum control via feedback. To this end, a replica approach has been recently proposed. This has the advantage of framing the
evolution of the system in terms of linear equations, at the price of introducing the need for an analytic continuation of our results.
DREAMS is divided into three parts. First, the dynamics of some fully-connected models will be investigated through the replica formalism. As the physics of these models is dominated by mean-field effects, it is
possible to derive exact analytic solutions and understand the conditions under which critical behavior could emerge. Then, more realistic, finite-range interacting systems will be taken into account to probe the
validity of our predictions in the presence of a spatial modulation of the coupling. An extensive numerical activity will be carried out to test our prediction. Finally, these results will be reinterpreted in light of
the existing theoretical frameworks for monitored systems, trying to extract general predictions.

Keywords

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Programme(s)

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Topic(s)

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Funding Scheme

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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.

(opens in new window) HORIZON-MSCA-2023-PF-01

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Coordinator

CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
Net EU contribution

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.

€ 195 914,88
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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