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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…

Anyons are exotic low-dimensional quasiparticles whose unconventional quantum statistics extends the binary particle division into fermions and bosons. The fractional quantum Hall regime provides a natural host, with first convincing anyon…

Mesoscale and Nanoscale Physics · Physics 2024-09-13 P. Glidic , I. Petkovic , C. Piquard , A. Aassime , A. Cavanna , Y. Jin , U. Gennser , C. Mora , D. Kovrizhin , A. Anthore , F. Pierre

Despite its ubiquity in quantum computation and quantum information, a universally applicable definition of quantum entanglement remains elusive. The challenge is further accentuated when entanglement is associated with other key themes,…

Mesoscale and Nanoscale Physics · Physics 2024-05-15 Gu Zhang , Changki Hong , Tomer Alkalay , Vladimir Umansky , Moty Heiblum , Igor V. Gornyi , Yuval Gefen

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…

One remarkable feature of strongly correlated systems is the phenomenon of fractionalization where quasiparticles carry only a fraction of the charge or spin of the elementary constituents. Such quasiparticles often present anyonic…

Mesoscale and Nanoscale Physics · Physics 2022-05-18 Tom Morel , June-Young M. Lee , H. -S. Sim , Christophe Mora

Recent pioneering works have set the stage for exploring anyon braiding statistics from negative current cross-correlations along two intersecting quasiparticle beams. In such a dual-source - analyzer quantum point contact setup, also…

Mesoscale and Nanoscale Physics · Physics 2023-03-23 P. Glidic , O. Maillet , A. Aassime , C. Piquard , A. Cavanna , U. Gennser , Y. Jin , A. Anthore , F. Pierre

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…

Strongly Correlated Electrons · Physics 2022-11-22 Martin Greiter , Frank Wilczek

Anyon colliders -- quantum Hall devices where dilute quasiparticle beams collide at a quantum point contact -- provide an interferometer-free probe of anyonic exchange phases through current cross correlations. Within a non-equilibrium…

Mesoscale and Nanoscale Physics · Physics 2025-10-15 Bernd Rosenow , Bertrand I. Halperin

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…

Mesoscale and Nanoscale Physics · Physics 2025-07-25 Gu Zhang , Igor Gornyi , Yuval Gefen

We show that the anyonic statistics of fractionalized excitations display characteristic signatures in threshold spectroscopic measurements. Drawing motivation from topologically ordered phases such as gapped quantum spin liquids and…

Strongly Correlated Electrons · Physics 2017-06-07 Siddhardh C. Morampudi , Ari M. Turner , Frank Pollmann , Frank Wilczek

Two-dimensional systems can host exotic particles called anyons whose quantum statistics are neither bosonic nor fermionic. For example, the elementary excitations of the fractional quantum Hall effect at filling factor $\nu=1/m$ (where m…

Mesoscale and Nanoscale Physics · Physics 2020-06-24 H. Bartolomei , M. Kumar , R. Bisognin , A. Marguerite , J. -M. Berroir , E. Bocquillon , B. Plaçais , A. Cavanna , Q. Dong , U. Gennser , Y. Jin , G. Fève

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…

The exotic braiding of anyons is certainly the most tantalizing aspect of fractional quantum Hall states. Although braiding is usually thought as a two-dimensional adiabatic manipulation, the braiding phase can also be captured in one…

Mesoscale and Nanoscale Physics · Physics 2022-12-13 Christophe Mora

Contrary to fermions and bosons, anyons are quasiparticles that keep a robust memory of particle exchanges via a braiding phase factor. This provides them with unique dynamical properties so far unexplored. When an anyon excitation is…

Anyons are exotic quasiparticles living in two dimensions that do not fit into the usual categories of fermions and bosons, but obey a new form of fractional statistics. Following a recent proposal [Phys. Rev. Lett. 98, 150404 (2007)], we…

Quantum Physics · Physics 2010-04-22 Chao-Yang Lu , Wei-Bo Gao , Otfried Gühne , Xiao-Qi Zhou , Zeng-Bing Chen , Jian-Wei Pan

Direct experimental detection of anyonic exchange statistics in fractional quantum Hall systems by braiding the excitations and measuring the wave-function phase is an enormous challenge. Here, we use a small, noisy quantum computer to…

Strongly Correlated Electrons · Physics 2023-08-03 Ammar Kirmani , Derek S. Wang , Pouyan Ghaemi , Armin Rahmani

Quasihole excitations in fractional quantum Hall (FQH) systems exhibit fractional statistics and fractional spin, but how the spin-statistics relation emerges from many-body physics remains poorly understood. Here we prove a spin-statistics…

Mesoscale and Nanoscale Physics · Physics 2023-05-30 Ha Quang Trung , Yuzhu Wang , Bo Yang

Correlations of partitioned particles carry essential information about their quantumness. Partitioning full beams of charged particles leads to current fluctuations, with their autocorrelation (namely, shot noise) revealing the particle'…

Mesoscale and Nanoscale Physics · Physics 2023-05-18 June-Young M. Lee , Changki Hong , Tomer Alkalay , Noam Schiller , Vladimir Umansky , Moty Heiblum , Yuval Oreg , H. -S. Sim

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

We propose a method to extract the mutual exchange statistics of the anyonic excitations of a general Abelian fractional quantum Hall state, by comparing the tunneling characteristics of a quantum point contact in two different experimental…

Mesoscale and Nanoscale Physics · Physics 2023-11-03 Noam Schiller , Yotam Shapira , Ady Stern , Yuval Oreg
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