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Anyon Statistics in Tiny Electronic Colliders

Project description

Uncovering the secrets of anyons

In the intricate realm of quantum physics, the peculiar behaviour of particles unfolds a fascinating puzzle. While three-dimensional systems segregate into fermions and bosons, two-dimensional landscapes introduce enigmatic anyons. Defying conventional rules, these particles possess a unique exchange phase and exhibit partial exclusion. In this context, the ERC-funded ASTEC project delves into the nanoscale collider to quantitatively explore anyon statistics. With an emphasis on topological protection, the project scrutinises the fractional quantum Hall effect, aiming to unveil the mysteries of non-abelian anyons. As we venture into uncharted territories, the ASTEC project promises a breakthrough in understanding, paving the way for topologically protected quantum computing.

Objective

In three dimensional systems, elementary particles are divided exclusively between fermions (which exclude each others) and bosons (which bunch together) according to the phase acquired by the wavefunction when two particles are exchanged. The situation is different in two-dimensional systems which can host new particles called anyons, for which the exchange phase can take any value, and which obey partial exclusion, between fermions and bosons. Interestingly, these quasiparticles keep a memory of the exchanges between them that is protected from local perturbations of their trajectories: one speaks of topological protection. This protection is at the heart of the interest for anyons, as specific types of anyons called non-abelian are the building blocks of topological quantum computing that would be protected from decoherence.
The existence of these quasiparticles was predicted forty years ago in two-dimensional conductors in the fractional quantum Hall regime. However, despite intense experimental and theoretical efforts, direct signatures of their fractional statistics have only been observed recently, offering only now the possibility to characterize fractional statistics and to exploit it for new functionalities.
The purpose of this project is to quantitatively investigate the statistics of anyons by probing their tendency to bunch together or exclude each others in a nanoscale collider. The different phases of the fractional quantum Hall effect offer a very vast and almost completely unexplored variety of anyons. I will characterize the differences between different statistics, including the most interesting non-abelian case. I will also investigate the robustness of the signatures of fractional statistics and to which extent they can be considered as topologically protected. Finally, I will probe anyon statistics in the time-domain regime, where anyon emission is dynamically controlled, which is a necessary condition for quantum information perspectives.

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Programme(s)

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Topic(s)

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HORIZON-ERC - HORIZON ERC Grants

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Call for proposal

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(opens in new window) ERC-2022-ADG

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Host institution

SORBONNE UNIVERSITE
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.

€ 2 270 937,50
Address
21 RUE DE L'ECOLE DE MEDECINE
75006 PARIS
France

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Region
Ile-de-France Ile-de-France Paris
Activity type
Higher or Secondary Education Establishments
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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.

€ 2 270 937,50

Beneficiaries (2)

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