2025/05/29 by Raúl Hidalgo-Sacoto, Thomas Busch, Hidalgo-Sacoto, Raúl +3 · 3 citations
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High-Energy Particle Collisions Research #Quantum Chromodynamics and Particle Interactions #Quantum Gases (cond-mat.quant-gas) #Quantum Physics (quant-ph)
paper · pdf · doi:10.48550/arxiv.2505.23127
openalex publication_date 2025/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
While elementary particles obey either bosonic or fermionic exchange statistics, generalized exchange statistics that interpolate between bosons and fermions -- applicable to quasi-particles -- constitute an intriguing topic, both from the fundamental and practical points of view. This work develops a scattering framework for two identical 1D bosonic anyons and two identical 1D fermionic anyons with zero-range contact interactions. The two-body system with zero-range interactions, both in free space and under external confinement, is used to illustrate the recently proposed bosonic-anyon -- fermionic-anyon mapping~(R. Hidalgo-Sacoto \emet al., arXiv:2505.17669), which connects the eigenstates of bosonic anyons to those of fermionic anyons and vice versa. Performing explicit calculations for two-particle systems, the momentum distributions and the off-diagonal correlations of the single-particle density matrix for bosonic anyons and fermionic anyons are confirmed to be distinct. We also confirm the previously derived asymptotic coefficients of the momentum distribution tail at orders k-2 and k-3 for two harmonically confined anyons. Non-universal contributions at order k-4 are discussed.