Realization of 1d anyons with arbitrary statistical phase

J Kwan, P Segura, Y Li, S Kim, AV Gorshkov… - arXiv preprint arXiv …, 2023 - arxiv.org
Low-dimensional quantum systems can host anyons, particles with exchange statistics that
are neither bosonic nor fermionic. Despite indications of a wealth of exotic phenomena, the …

Cooper triples in attractive three-component fermions: Implication for hadron-quark crossover

H Tajima, S Tsutsui, TM Doi, K Iida - Physical Review Research, 2022 - APS
We investigate many-body properties of equally populated three-component fermions with
attractive three-body contact interaction in one dimension. A diagrammatic approach …

Nonrelativistic trace anomaly and equation of state in dense fermionic matter

H Tajima, K Iida, H Liang - Physical Review C, 2024 - APS
We investigate theoretically a nonrelativistic trace anomaly and its impact on the low-
temperature equation of state in spatially one-dimensional three-component fermionic …

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 …

Nonequilibrium dynamics in one-dimensional strongly interacting two-component gases

OI Pâţu - Physical Review A, 2023 - APS
The derivation of determinant representations for the space-, time-, and temperature-
dependent correlation functions of the impenetrable Gaudin-Yang model in the presence of …

Structural aspects of twin and pure twin groups

V Bardakov, M Singh, A Vesnin - Geometriae Dedicata, 2019 - Springer
The twin group T_n T n is a Coxeter group generated by n-1 n-1 involutions and the pure
twin group PT_n PT n is the kernel of the natural surjection of T_n T n onto the symmetric …

Linear motion planning with controlled collisions and pure planar braids

J González, JL León-Medina, C Roque - arXiv preprint arXiv:1902.06190, 2019 - arxiv.org
We compute the Lusternik-Schnirelmann category (LS-cat) and the higher topological
complexity ($ TC_s $, $ s\geq2 $) of the" no-$ k $-equal" configuration space Conf $ _k …

Correlation functions of one-dimensional strongly interacting two-component gases

OI Pâţu - Physical Review A, 2019 - APS
We address the problem of calculating the correlation functions of one-dimensional two-
component gases with strong repulsive contact interactions. The model considered in this …

Fermionic anyons: Entanglement and quantum computation from a resource-theoretic perspective

A Tosta, AC Lourenço, D Brod, F Iemini, T Debarba - Physical Review A, 2024 - APS
Quantum computational models can be approached via the lens of resources needed to
perform computational tasks, where a computational advantage is achieved by consuming …

Congruence subgroups and crystallographic quotients of small Coxeter groups

P Kumar, TK Naik, M Singh - Forum Mathematicum, 2024 - degruyter.com
Small Coxeter groups are precisely the ones for which the Tits representation is integral,
which makes the study of their congruence subgroups relevant. The symmetric group S n …