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pro vyhledávání: '"Lundholm, Douglas"'
Autor:
Lundholm, Douglas
This article is a contribution to the proceedings of the 33rd/35th International Colloquium on Group Theoretical Methods in Physics (ICGTMP, Group33/35) held in Cotonou, Benin, July 15-19, 2024. The stability of matter is an old and mathematically di
Externí odkaz:
http://arxiv.org/abs/2410.24156
This work considers two related families of nonlinear and nonlocal problems in the plane $\mathbb{R}^2$. The first main result derives the general integrable solution to a generalized Liouville equation using the Wronskian of two coprime complex poly
Externí odkaz:
http://arxiv.org/abs/2404.09332
We propose here selected actual features of measurement problems based on our concerns in our respective fields of research. Their technical similarity in apparently disconnected fields motivate this common communication. Problems of coherence and co
Externí odkaz:
http://arxiv.org/abs/2310.17624
Autor:
Lundholm, Douglas
An overview is given of the 2D many-anyon gas, including its definition (both for ideal and certain less-than-ideal particles, as well as for abelian and nonabelian braid group representations), its corresponding known properties starting out from th
Externí odkaz:
http://arxiv.org/abs/2303.09544
Publikováno v:
Prob. Math. Phys. 4 (2023) 803-848
We consider a model for two types (bath and tracers) of 2D quantum particles in a perpendicular magnetic field. Interactions are short range and inter-species, and we assume that the bath particles are fermions, all lying in the lowest Landau level o
Externí odkaz:
http://arxiv.org/abs/2201.03518
Recently it was shown that anyons on the two-sphere naturally arise from a system of molecular impurities exchanging angular momentum with a many-particle bath (Phys. Rev. Lett. 126, 015301 (2021)). Here we further advance this approach and rigorousl
Externí odkaz:
http://arxiv.org/abs/2108.06966
Autor:
Lundholm, Douglas, Qvarfordt, Viktor
We review and develop the many-body spectral theory of ideal anyons, i.e. identical quantum particles in the plane whose exchange rules are governed by unitary representations of the braid group on $N$ strands. Allowing for arbitrary rank (dependent
Externí odkaz:
http://arxiv.org/abs/2009.12709
Publikováno v:
Phys. Rev. Lett. 126, 015301 (2021)
Studies on experimental realization of two-dimensional anyons in terms of quasiparticles have been restricted, so far, to only anyons on the plane. It is known, however, that the geometry and topology of space can have significant effects on quantum
Externí odkaz:
http://arxiv.org/abs/2009.05948
Autor:
Yakaboylu, Enderalp, Ghazaryan, Areg, Lundholm, Douglas, Rougerie, Nicolas, Lemeshko, Mikhail, Seiringer, Robert
Publikováno v:
Phys. Rev. B 102, 144109 (2020)
One of the hallmarks of quantum statistics, tightly entwined with the concept of topological phases of matter, is the prediction of anyons. Although anyons are predicted to be realized in certain fractional quantum Hall systems, they have not yet bee
Externí odkaz:
http://arxiv.org/abs/1912.07890
Publikováno v:
Europhys. Lett. 126 (2019), 20005
We study theoretically and numerically the ground state of a gas of 2D abelian anyons in an external trapping potential. We treat anyon statistics in the magnetic gauge picture, perturbatively around the bosonic end. This leads to a mean-field energy
Externí odkaz:
http://arxiv.org/abs/1901.10739