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Quasi-particles are elementary excitations of condensed matter quantum phases. Demonstrating that they keep quantum coherence while propagating is a fundamental issue for their manipulation for quantum information tasks. Here, we consider…

Mesoscale and Nanoscale Physics · Physics 2022-10-19 I. Taktak , M. Kapfer , J. Nath , P. Roulleau , M. Acciai , J. Splettstoesser , I. Farrer , D. A. Ritchie , D. C. Glattli

Anyons, quasiparticles living in two-dimensional spaces with exotic exchange statistics, can serve as the fundamental units for fault-tolerant quantum computation. However, experimentally demonstrating anyonic statistics is a challenge due…

Quantum Physics · Physics 2016-05-06 Annie Jihyun Park , Emma McKay , Dawei Lu , Raymond Laflamme

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 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

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.…

Quantum Physics · Physics 2009-01-14 M. Aguado , G. K. Brennen , F. Verstraete , J. I. Cirac

Quantum walk represents one of the most promising resources for the simulation of physical quantum systems, and has also emerged as an alternative to the standard circuit model for quantum computing. Up to now the experimental…

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

Controlling the photon statistics of light is paramount for quantum science and technologies. Recently, we demonstrated that transmitting resonant laser light past an ensemble of two-level emitters can result in a stream of single photons…

Quantum Physics · Physics 2022-12-20 Martin Cordier , Max Schemmer , Philipp Schneeweiss , Jürgen Volz , Arno Rauschenbeutel

We propose the implementation of a switch of particle statistics with an embedding quantum simulator. By encoding both Bose-Einstein and Fermi-Dirac statistics into an enlarged Hilbert space, the statistics of quantum particles may be…

Quantum Physics · Physics 2017-02-07 X. -H. Cheng , I. Arrazola , J. S. Pedernales , L. Lamata , X. Chen , E. Solano

Quantum graphs are commonly used as models of complex quantum systems, for example molecules, networks of wires, and states of condensed matter. We consider quantum statistics for indistinguishable spinless particles on a graph,…

Mathematical Physics · Physics 2011-01-11 JM Harrison , JP Keating , JM Robbins

In two dimensions, the laws of physics permit existence of anyons, particles with fractional statistics which is neither Fermi nor Bose. That is, upon exchange of two such particles, the quantum state of a system acquires a phase which is…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 F. E. Camino , Wei Zhou , V. J. Goldman

Anyons are 2D or 1D quantum particles with intermediate statistics, interpolating between bosons and fermions. We study the ground state of a large number N of 2D anyons, in a scaling limit where the statistics parameter is proportional to…

Mathematical Physics · Physics 2015-09-18 Douglas Lundholm , Nicolas Rougerie

Emergent anyons are the key elements of the topological quantum computation and topological quantum memory. We study a two-component fermion model with conventional two-body interaction in an open boundary condition and show that several…

Other Condensed Matter · Physics 2010-02-23 Yue Yu , Yi Li

In three spatial dimensions, particles are limited to either bosonic or fermionic statistics. Two-dimensional systems, on the other hand, can support anyonic quasiparticles exhibiting richer statistical behaviours. An exciting proposal for…

Quantum Physics · Physics 2011-12-13 James R. Wootton , Ville Lahtinen , Benoit Doucot , Jiannis K. Pachos

The commutation relations of the composite fields are studied in the 3, 2 and 1 space dimensions. It is shown that the field of an atom consisting of a nucleus and an electron fields satisfies, in the space-like asymptotic limit, the…

High Energy Physics - Theory · Physics 2009-11-07 Hitoshi Ito

Anyons are particles with fractional exchange statistics that emerge as elementary excitations of fractional quantum Hall phases. Experimentally, their exchange statistics can be measured in the edge-state Fabry-P\'erot interferometer. In…

Mesoscale and Nanoscale Physics · Physics 2025-09-15 Noah L. Samuelson , Liam A. Cohen , Will Wang , Simon Blanch , Takashi Taniguchi , Kenji Watanabe , Michael P. Zaletel , Andrea F. Young

We show that the presence of anyons in the excitation spectrum of a two-dimensional system can be inferred from nonlinear spectroscopic quantities. In particular, we consider pump-probe spectroscopy, where a sample is irradiated by two…

Strongly Correlated Electrons · Physics 2024-02-07 Max McGinley , Michele Fava , S. A. Parameswaran

A key property of topologically ordered systems, such as Quantum Hall states, is the existence of excitations obeying fractional quantum statistics - anyons. We develop a theory for multicomponent counterflow states where an ordinary…

Strongly Correlated Electrons · Physics 2026-03-18 Jun-Xiao Hui , T. H. Hansson , Egor Babaev

In this paper, a method is developed to investigate the relativistic quantum information of anyons. Anyons are particles with intermediate statistics ranging between Bose-Einstein and Fermi-Dirac statistics, with a parameter $\alpha$…

Quantum Physics · Physics 2020-10-07 Leili Esmaeilifar , Behrouz Mirza , Hosein Mohammadzadeh

Bloch oscillations are exotic phenomena describing the periodic motion of a wave packet subjected to the external force in a lattice, where the system possessing single- or multipleparticles could exhibit distinct oscillation behaviors. In…

Mesoscale and Nanoscale Physics · Physics 2021-10-14 Weixuan Zhang , Hao Yuan , Haiteng Wang , Fengxiao Di , Na Sun , Xingen Zheng , Houjun Sun , Xiangdong Zhang