Anyons from three-body hard-core interactions in one dimension

NL Harshman, AC Knapp - Annals of Physics, 2020 - Elsevier
Traditional anyons in two dimensions have generalized exchange statistics governed by the
braid group. By analyzing the topology of configuration space, we discover that an alternate …

Topological exchange statistics in one dimension

NL Harshman, AC Knapp - Physical Review A, 2022 - APS
The standard topological approach to indistinguishable particles formulates exchange
statistics by using the fundamental group to analyze the connectedness of the configuration …

Topologically nontrivial three-body contact interaction in one dimension

S Ohya - Progress of Theoretical and Experimental Physics, 2024 - academic.oup.com
It is known that three-body contact interactions in one-dimensional (1D) n (≥ 3)-body
problems of nonidentical particles can be topologically nontrivial: they are all classified by …