Realization of 1d anyons with arbitrary statistical phase
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 …
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
We investigate many-body properties of equally populated three-component fermions with
attractive three-body contact interaction in one dimension. A diagrammatic approach …
attractive three-body contact interaction in one dimension. A diagrammatic approach …
Nonrelativistic trace anomaly and equation of state in dense fermionic matter
We investigate theoretically a nonrelativistic trace anomaly and its impact on the low-
temperature equation of state in spatially one-dimensional three-component fermionic …
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 …
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 …
dependent correlation functions of the impenetrable Gaudin-Yang model in the presence of …
Structural aspects of twin and pure twin groups
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 …
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 …
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 …
component gases with strong repulsive contact interactions. The model considered in this …
Fermionic anyons: Entanglement and quantum computation from a resource-theoretic perspective
Quantum computational models can be approached via the lens of resources needed to
perform computational tasks, where a computational advantage is achieved by consuming …
perform computational tasks, where a computational advantage is achieved by consuming …
Congruence subgroups and crystallographic quotients of small Coxeter groups
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 …
which makes the study of their congruence subgroups relevant. The symmetric group S n …