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The possibility of realizing non-Abelian statistics and utilizing it for topological quantum computation (TQC) has generated widespread interest. However, the non-Abelian statistics that can be realized in most accessible proposals is not…

强关联电子 · 物理学 2014-12-04 Abolhassan Vaezi , Maissam Barkeshli

Anyons are quasiparticles with fractional charge and statistics that arise in strongly correlated two-dimensional systems such as the fractional quantum Hall (FQH) effect and fractional Chern insulators (FCI). Interactions between anyons…

强关联电子 · 物理学 2026-03-20 Glenn Wagner , Titus Neupert

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…

强关联电子 · 物理学 2018-03-14 Zlatko Papić , Roger S. K. Mong , Ali Yazdani , Michael P. Zaletel

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…

量子气体 · 物理学 2011-08-29 Tassilo Keilmann , Simon Lanzmich , Ian McCulloch , Marco Roncaglia

Topological phases in two dimensions support anyonic quasiparticle excitations that obey neither bosonic nor fermionic statistics. These anyon structures often carry global symmetries that relate distinct anyons with similar fusion and…

强关联电子 · 物理学 2016-03-09 Jeffrey C. Y. Teo

Non-Abelian anyons promise to reveal spectacular features of quantum mechanics that could ultimately provide the foundation for a decoherence-free quantum computer. A key breakthrough in the pursuit of these exotic particles originated from…

The edge modes of fractional quantum Hall liquids are described by chiral Luttinger liquid theory. Despite many years of experimental investigation fractional quantum Hall edge modes remain enigmatic with significant discrepancies between…

Boundary conformal field theory is brought to bear on the study of topological insulating phases of non-abelian anyonic chains. These topologically non-trivial phases display protected anyonic end modes. We consider antiferromagnetically…

强关联电子 · 物理学 2014-08-25 Wade DeGottardi

We propose a setup to directly measure the anyonic statistical angle on a single edge of a fractional quantum Hall system, without requiring independent knowledge of non-universal parameters. We consider a Laughlin edge state bent into a…

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…

The low-energy dynamics of two-dimensional topological matter hinges on its one-dimensional edge modes. Tunneling between fractional quantum Hall edge modes facilitates the study of anyonic statistics: it induces time-domain braiding that…

介观与纳米尺度物理 · 物理学 2025-07-25 Gu Zhang , Igor Gornyi , Yuval Gefen

Anyon models are algebraic structures that model universal topological properties in topological phases of matter and can be regarded as mathematical characterization of topological order in two spacial dimensions. It is conjectured that…

量子代数 · 数学 2020-12-30 Liang Wang , Zhenghan Wang

The quantum-mechanical description of assemblies of particles whose motion is confined to two (or one) spatial dimensions offers many possibilities that are distinct from bosons and fermions. We call such particles anyons. The simplest…

强关联电子 · 物理学 2022-11-22 Martin Greiter , Frank Wilczek

Indistinguishable particles in two dimensions can be characterized by anyonic quantum statistics more general than those of bosons or fermions. Such anyons emerge as quasiparticles in fractional quantum Hall states and certain frustrated…

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 physics of anyons in one dimension (1D) remains largely…

In low-dimensional systems, indistinguishable particles can display statistics that interpolate between bosons and fermions. Signatures of these "anyons" have been detected in two-dimensional quasiparticle excitations of the fractional…

统计力学 · 物理学 2021-11-15 Nathan M. Myers , Sebastian Deffner

Non-Abelian anyons are fractional excitations of gapped topological models believed to describe certain topological superconductors or quantum Hall states. Here, we provide the first numerical evidence that they emerge as independent…

强关联电子 · 物理学 2023-04-14 Matan Lotem , Eran Sela , Moshe Goldstein

Ising-type non-Abelian anyons are likely to occur in a number of physical systems, including quantum Hall systems, where recent experiments support their existence. In general, non-Abelian anyons may be utilized to provide a topologically…

强关联电子 · 物理学 2010-05-11 Parsa Bonderson , David J. Clarke , Chetan Nayak , Kirill Shtengel

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…

量子物理 · 物理学 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

Anyons are particlelike excitations of strongly correlated phases of matter with fractional statistics, characterized by nontrivial changes in the wave function, generalizing Bose and Fermi statistics, when two of them are interchanged.…

量子物理 · 物理学 2009-01-14 M. Aguado , G. K. Brennen , F. Verstraete , J. I. Cirac
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