In the large-mass limit with tuned chemical potential, quantum gases converge to classical interacting particles via Ginibre loop ensembles and cluster expansions.
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The classical Gibbs measure with fractional Bessel interaction potential is derived from the renormalized grand-canonical quantum Bose gas for 3/2 < β ≤ 2 via convergence of relative free energy and reduced density matrices.
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The large-mass limit of interacting quantum gases in the continuum
In the large-mass limit with tuned chemical potential, quantum gases converge to classical interacting particles via Ginibre loop ensembles and cluster expansions.
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Derivation of Gibbs measure from Gibbs state with the fractional Bessel interaction in Two Dimensions
The classical Gibbs measure with fractional Bessel interaction potential is derived from the renormalized grand-canonical quantum Bose gas for 3/2 < β ≤ 2 via convergence of relative free energy and reduced density matrices.