Results 101 to 110 of about 11,195 (208)

The Conformal Spectrum of Non-Abelian Anyons

SciPost Physics, 2018
We study the spectrum of multiple non-Abelian anyons in a harmonic trap. The system is described by Chern-Simons theory, coupled to either bosonic or fermionic non-relativistic matter, and has an SO(2,1) conformal invariance.
Nima Doroud, David Tong, Carl Turner
doaj   +1 more source

Anyonic Realization of the Quantum Affine Lie Algebra U_q(A_N)

, 1995
We give a realization of quantum affine Lie algebra $U_q(\hat A_{N-1})$ in terms of anyons defined on a two-dimensional lattice, the deformation parameter $q$ being related to the statistical parameter $\nu$ of the anyons by $q = e^{i\pi\nu}$.
A. Sciarrino, Caracciolo, Feingold, Frau, Frenkel, Hayashi, L. Frappat, Leinaas, Lerda, Lerda, P. Sorba, S. Sciuto, Wilczek, Wilczek, Wilczek   +14 more
core   +5 more sources

Anyonic exclusions statistics on surfaces with gapped boundaries

Journal of High Energy Physics, 2019
An anyonic exclusion statistics, which generalizes the Bose-Einstein and Fermi-Dirac statistics of bosons and fermions, was proposed by Haldane [1].
Yingcheng Li, Hongyu Wang, Yuting Hu, Yidun Wan   +3 more
doaj   +1 more source

Topological Order with a Twist: Ising Anyons from an Abelian Model

, 2010
Anyon models can be symmetric under some permutations of their topological charges. One can then conceive topological defects that, under monodromy, transform anyons according to a symmetry.
Bombin, H.
core   +1 more source

Introduction to topological quantum computation with non-Abelian anyons

, 2018
Topological quantum computers promise a fault tolerant means to perform quantum computation. Topological quantum computers use particles with exotic exchange statistics called non-Abelian anyons, and the simplest anyon model which allows for universal ...
Field, Bernard, Simula, Tapio
core   +1 more source

Braiding Fibonacci anyons

Journal of High Energy Physics
Fibonacci anyons ε provide the simplest possible model of non-Abelian fusion rules: [1] × [1] = [0] ⊕ [1]. We propose a conformal field theory construction of topological quantum registers based on Fibonacci anyons realized as quasiparticle excitations ...
Ludmil Hadjiivanov, Lachezar S. Georgiev
doaj   +1 more source

Anyon black holes

Physics Letters B, 2018
We propose a correspondence between an Anyon Van der Waals fluid and a (2+1) dimensional AdS black hole. Anyons are particles with intermediate statistics that interpolates between a Fermi-Dirac statistics and a Bose-Einstein one. A parameter $ $ ($0 _c$, but a quasi Bose-Einstein statistics for $ < _c$.
Aghaei Abchouyeh, Maryam, Mirza, Behrouz, Karimi Takrami, Moein, Younesizadeh, Younes   +3 more
openaire   +3 more sources

Anyon condensation and tensor categories

Nuclear Physics B, 2014
Instead of studying anyon condensation in various concrete models, we take a bootstrap approach by considering an abstract situation, in which an anyon condensation happens in a 2-d topological phase with anyonic excitations given by a modular tensor ...
Liang Kong
doaj   +1 more source

Fractionalizing Majorana Fermions: Non-Abelian Statistics on the Edges of Abelian Quantum Hall States

Physical Review X, 2012
We study the non-Abelian statistics characterizing systems where counterpropagating gapless modes on the edges of fractional quantum Hall states are gapped by proximity coupling to superconductors and ferromagnets. The most transparent example is that of
Netanel H. Lindner, Erez Berg, Gil Refael, Ady Stern   +3 more
doaj   +1 more source

Aharonov-Bohm interference in even-denominator fractional quantum Hall states. [PDF]

Nature
Kim J, Dev H, Shaer A, Kumar R, Ilin A, Haug A, Iskoz S, Watanabe K, Taniguchi T, Mross DF, Stern A, Ronen Y.   +11 more
europepmc   +2 more sources