Microscopic inclusion statistics in a discrete one-body spectrum

Microscopic inclusion statistics in a discrete one-body spectrum

We present the microscopic formulation of inclusion statistics, a counterpoint to exclusion statistics in which particles tend to coalesce more than ordinary bosons. We derive the microscopic occupation multiplicities of one-body quantum states and show that they factorize into a product of clusters...

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Veröffentlicht in:Physical review. E 2024-07, Vol.110 (1-1), p.014140, Article 014140
Hauptverfasser: Ouvry, Stéphane, Polychronakos, Alexios P
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Polychronakos, Alexios P
description We present the microscopic formulation of inclusion statistics, a counterpoint to exclusion statistics in which particles tend to coalesce more than ordinary bosons. We derive the microscopic occupation multiplicities of one-body quantum states and show that they factorize into a product of clusters of neighboring occupied states with enhanced statistical weights. Applying this statistics to a one-dimensional gas of particles in a harmonic well leads to a Calogero-like n-body inclusion spectrum with interesting physical properties.
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title Microscopic inclusion statistics in a discrete one-body spectrum
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