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Anyon Statistics in Tiny Electronic Colliders

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 e... ver más

31/10/2028

SORBONNE UNIVERSIT...

2M€

Presupuesto del proyecto: 2M€

Líder del proyecto

SORBONNE UNIVERSITE No se ha especificado una descripción o un objeto social para esta compañía.

TRL 4-5

Ver 2 Participantes

Financiación concedida El organismo HORIZON EUROPE notifico la concesión del proyecto el día 2023-07-28

ERC-2022-ADG: ERC ADVANCED GRANTS Scope:Objectives

I+D

Cerrada hace 2 años

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2 Participantes

SORBONNE UNIVERSITE

2.27M€ | Lider

CNRS

229.00K€ | Participante

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Duración del proyecto: 63 meses Fecha Inicio: 2023-07-28
Fecha Fin: 2028-10-31

Líder del proyecto

SORBONNE UNIVERSITE No se ha especificado una descripción o un objeto social para esta compañía.

TRL 4-5

Presupuesto del proyecto 2M€

Descripción del proyecto 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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