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Anyons are usually characterized by their topological data and their fractional quantum numbers under global symmetries. In lattice systems such as fractional Chern insulators (FCI), they are also mobile quasiparticles. Their motion…

Mesoscale and Nanoscale Physics · Physics 2026-05-29 Taige Wang , T. Senthil

Anyons are quasiparticles in two-dimensional systems that show statistical properties very distinct from those of bosons or fermions. While their isolated observation has not yet been achieved, here we perform a quantum simulation of anyons…

Quantum Physics · Physics 2009-08-14 J. K. Pachos , W. Wieczorek , C. Schmid , N. Kiesel , R. Pohlner , H. Weinfurter

Topological phases exhibit a plethora of striking phenomena including disorder-robust localization and propagation of waves of various nature. Of special interest are the transitions between the different topological phases which are…

Shot noise has been used to measure fractional charges of anyons. The value of the charge imposes constraints on fractional statistics but does not determine it. This issue is particularly important in multi-component systems. For example,…

Mesoscale and Nanoscale Physics · Physics 2026-04-23 Hongquan Liu , J. I. A. Li , D. E. Feldman

Anyons and fractional statistics are by now well established in two-dimensional systems. In one dimension, fractional statistics has been established so far only through Haldane's fractional exclusion principle, but not via a fractional…

Quantum Physics · Physics 2009-02-12 Martin Greiter

The search for anyons, quasiparticles with fractional charge and exotic exchange statistics, has inspired decades of condensed matter research. Quantum Hall interferometers enable direct observation of the anyon braiding phase via discrete…

Anyons are exotic quasiparticles obeying fractional statistics,whose behavior can be emulated in artificially designed spin systems.Here we present an experimental emulation of creating anyonic excitations in a superconducting circuit that…

Quantum Physics · Physics 2016-11-11 Y. P. Zhong , D. Xu , P. Wang , C. Song , Q. J. Guo , W. X. Liu , K. Xu , B. X. Xia , Chao-Yang Lu , Siyuan Han , Jian-Wei Pan , Haohua Wang

We propose feasible scenarios for revealing the modified exchange statistics in one-dimensional anyon models in optical lattices based on an extension of the multicolor lattice-depth modulation scheme introduced in [{Phys. Rev. A 94, 023615…

Quantum Gases · Physics 2018-05-16 Sebastian Greschner , Lorenzo Cardarelli , Luis Santos

Anyons are exotic quasi-particles with fractional charge that can emerge as fundamental excitations of strongly interacting topological quantum phases of matter. Unlike ordinary fermions and bosons, they may obey non-abelian statistics--a…

Strongly Correlated Electrons · Physics 2018-03-14 Zlatko Papić , Roger S. K. Mong , Ali Yazdani , Michael P. Zaletel

Entanglement of mixed quantum states can be quantified using the partial transpose and its corresponding entanglement measure, the logarithmic negativity. Recently, the notion of partial transpose has been extended to systems of anyons,…

Strongly Correlated Electrons · Physics 2024-08-22 Nico Kirchner , Wonjune Choi , Frank Pollmann

In this work, we investigate the non-equilibrium dynamics in a one-dimensional two-component anyon-Hubbard model, which can be mapped to an extended Bose-Hubbard ladder with density-dependent hopping phase and synthetic gauge flux. Through…

Quantum Gases · Physics 2026-04-23 Rui-Jie Chen , Ying-Xin Huang , Guo-Qing Zhang , Dan-Wei Zhang

We study the entanglement spectrum of topological systems hosting non-Abelian anyons. Akin to energy levels of a Hamiltonian, the entanglement spectrum is composed of symmetry multiplets. We find that the ratio between different eigenvalues…

Strongly Correlated Electrons · Physics 2019-03-26 Eyal Cornfeld , L. Aviad Landau , Kirill Shtengel , Eran Sela

Ring exchange is an elementary interaction for modeling unconventional topological matters which hold promise for efficient quantum information processing. We report the observation of four-body ring-exchange interactions and the…

We show that bosonic fields may present anyonic behavior when interacting with a fermion in a Jaynes-Cummings-like model. The proposal is accomplished via the interaction of a two-level system with two quantized modes of a harmonic…

Quantum Physics · Physics 2009-11-10 Roberto M. Serra , Angelo Carollo , Marcelo Franca Santos , Vlatko Vedral

The experimental discovery of the fractional Hall conductivity in two-dimensional electron gases revealed new types of quantum particles, called anyons, which are beyond bosons and fermions as they possess fractionalized exchange…

Strongly Correlated Electrons · Physics 2021-09-14 Yan-Cheng Wang , Meng Cheng , William Witczak-Krempa , Zi Yang Meng

The behavior of a collection of identical particles is intimately linked to the symmetries of their wavefunction under particle exchange. Topological anyons, arising as quasiparticles in low-dimensional systems, interpolate between bosons…

Quantum Physics · Physics 2026-05-29 Joe Dunlop , Álvaro Tejero , Michalis Skotiniotis , Daniel Manzano

Anyons are quasiparticles with fractional statistics, bridging between fermions and bosons. We propose an experimental setup to measure the statistical angle of topological anyons emitted from a quantum point contact (QPC) source. The setup…

We present an exact scheme of bosonization for anyons (including fermions) in the two-dimensional manifold of the quantum Hall fluid. This gives every fractional quantum Hall phase of the electrons one or more dual bosonic descriptions. For…

Mesoscale and Nanoscale Physics · Physics 2021-09-22 Bo Yang

An explicit realization of anyons is provided, using the three-body Calogero model. The fact that in the coupling domain, $-1/4<g<0$, the angular spectrum can have a band structure, leads to the manifestation of the desired phase in the…

Quantum Physics · Physics 2009-11-13 S. Sree Ranjani , P. K. Panigrahi , A. K. Kapoor , A. Khare

Anyons - particles carrying fractional statistics that interpolate between bosons and fermions - have been conjectured to exist in low dimensional systems. In the context of the fractional quantum Hall effect (FQHE), quasi-particles made of…

Quantum Gases · Physics 2011-08-29 Tassilo Keilmann , Simon Lanzmich , Ian McCulloch , Marco Roncaglia