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Article Dans Une Revue Probability and Mathematical Physics Année : 2023

Quantum statistics transmutation via magnetic flux attachment

Résumé

We consider a model for two types (bath and tracers) of 2D quantum particles in a perpendicular magnetic field. Interactions are short range and inter-species, and we assume that the bath particles are fermions, all lying in the lowest Landau level of the magnetic field. Heuristic arguments then indicate that, if the tracers are strongly coupled to the bath, they effectively change their quantum statistics, from bosonic to fermionic or vice-versa. We rigorously compute the energy of a natural trial state, indeed exhibiting this phenomenon of statistics transmutation. The proof involves estimates for the characteristic polynomial of the Ginibre ensemble of random matrices.
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hal-03524103 , version 1 (13-01-2022)

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  • HAL Id : hal-03524103 , version 1

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Gaultier Lambert, Douglas Lundholm, Nicolas Rougerie. Quantum statistics transmutation via magnetic flux attachment. Probability and Mathematical Physics, In press. ⟨hal-03524103⟩
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