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 …

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 …

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 …

Quantum Alchemy and Universal Orthogonality Catastrophe in One-Dimensional Anyons

NE Mackel, J Yang, A del Campo - Quantum, 2023 - quantum-journal.org
Many-particle quantum systems with intermediate anyonic exchange statistics are supported
in one spatial dimension. In this context, the anyon-anyon mapping is recast as a continuous …

Quantum walk on orbit spaces

S Ohya - Physical Review A, 2023 - APS
Inspired by the covering-space method in path integrals on multiply connected spaces, we
here present a universal formula of time-evolution kernels for continuous-and discrete-time …

Beyond braid statistics: Constructing a lattice model for anyons with exchange statistics intrinsic to one dimension

S Nagies, B Wang, AC Knapp, A Eckardt… - SciPost Physics, 2024 - scipost.org
Anyons obeying fractional exchange statistics arise naturally in two dimensions: Hard-core
two-body constraints make the configuration space of particles not simply-connected. The …

Beyond braid anyons: A lattice model for one-dimensional anyons with a Galilean invariant continuum limit

S Nagies, B Wang, AC Knapp, A Eckardt… - arXiv preprint arXiv …, 2023 - arxiv.org
Anyonic exchange statistics can emerge when the configuration space of quantum particles
is not simply-connected. Most famously, anyon statistics arises for particles with hard-core …

Coherence properties of the repulsive anyon-Hubbard dimer

M Bonkhoff, SB Jäger, I Schneider, A Pelster, S Eggert - Physical Review B, 2023 - APS
One-dimensional anyonic models of the Hubbard type show intriguing ground-state
properties, effectively transmuting between Bose-Einstein and Fermi-Dirac statistics. The …

Virtual planar braid groups and permutations

TK Naik, N Nanda, M Singh - Journal of Group Theory, 2024 - degruyter.com
Twin groups and virtual twin groups are planar analogues of braid groups and virtual braid
groups, respectively. These groups play the role of braid groups in the Alexander–Markov …

Topological gauge fields and the composite particle duality

G Valentí-Rojas, AJ Baker, A Celi, P Öhberg - Physical Review Research, 2023 - APS
We unveil a duality that extends the notions of both flux attachment and statistical
transmutation in spacetime dimensions beyond (2+ 1) D. Thus, a quantum system in …