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An exactly solvable model of a quantum spin liquid on a quasicrystal, akin to Kitaev's honeycomb model, was introduced in Kim \textit{et al.}, \href{https://doi.org/10.1103/PhysRevB.110.214438}{\text{Phys. Rev. B} \textbf{110}, 214438…

Strongly Correlated Electrons · Physics 2025-12-15 Soumya Sur , Mohammad Saad , Adhip Agarwala

Anyons exist as point like particles in two dimensions and carry braid statistics which enable interactions that are independent of the distance between the particles. Except for a relatively few number of models which are analytically…

Strongly Correlated Electrons · Physics 2016-04-22 Babatunde M. Ayeni , Sukhwinder Singh , Robert N. C. Pfeifer , Gavin K. Brennen

We investigate the influence of capacitive coupling on the detection of anyon braiding in a single-edge interferometer realized in the fractional quantum Hall regime. In this setup, a quantum point contact bends a single edge into a loop,…

Mesoscale and Nanoscale Physics · Physics 2026-02-02 Noé Demazure , Flavio Ronetti , Benoît Grémaud , Laurent Raymond , Masayuki Hashisaka , Takeo Kato , Thierry Martin

We propose a scheme to probe the non-Abelian statistics of the collective anyonic excitation in Kitaev's honeycomb model with cold atoms in an optical lattice. The generation of the anyonic excitation can be realized by simple rotating…

Quantum Physics · Physics 2013-05-31 Sheng Liu , Zheng-Yuan Xue

Among the quantum many-body models that host anyon excitation and topological orders, quantum dimer models (QDM) provide a unique playground for studying the relation between single-anyon and multi-anyon continuum spectra. However, as the…

Strongly Correlated Electrons · Physics 2021-04-28 Zheng Yan , Yan-Cheng Wang , Nvsen Ma , Yang Qi , Zi Yang Meng

Optical probes have emerged as versatile tools for detecting exotic fractionalized phases in quantum materials. We calculate the low-energy Raman response arising from mobile, interacting Ising anyons (or visons) in the chiral Kitaev spin…

Strongly Correlated Electrons · Physics 2025-12-01 Aprem P. Joy , Achim Rosch

We describe electron spin resonance in a quantum spin liquid with significant spin-orbit coupling. We find that the resonance directly probes spinon continuum which makes it an efficient and informative probe of exotic excitations of the…

Strongly Correlated Electrons · Physics 2018-01-23 Zhu-Xi Luo , Ethan Lake , Jia-Wei Mei , Oleg A. Starykh

We have created a nonequilibrium population of antiferromagnetic spin-waves in Cr2O3, and characterized its dynamics, using frequency- and time-resolved nonlinear optical spectroscopy of the exciton-magnon transition. We observe a…

Strongly Correlated Electrons · Physics 2009-10-31 J. S. Dodge , A. B. Schumacher , D. S. Chemla , N. Ingle , M. R. Beasley

Quantum spin liquids (QSLs) host emergent, fractionalized fermionic excitations that are charge-neutral. Identifying clear experimental signatures of these excitations remains a central challenge in the field of strongly correlated systems,…

Strongly Correlated Electrons · Physics 2025-12-04 Penghao Zhu , Archisman Panigrahi , Leonid Levitov , Nandini Trivedi

We study in theory the generation and detection of electron spin coherence in nonlinear optical spectroscopy of semiconductor quantum dots doped with single electrons. In third-order differential transmission spectra, the inverse width of…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Ren-Bao Liu , S. E. Economou , L. J. Sham , D. G. Steel

The braiding of the worldlines of particles restricted to move on a network (graph) is governed by the graph braid group, which can be strikingly different from the standard braid group known from two-dimensional physics. It has been…

Strongly Correlated Electrons · Physics 2025-03-05 Tomasz Maciazek , Mia Conlon , Gert Vercleyen , J. K. Slingerland

Recently, it was argued that the braiding and statistics of anyons in a two-dimensional topological phase can be extracted by studying the quantum entanglement of the degenerate ground-states on the torus. This construction either required…

Strongly Correlated Electrons · Physics 2015-01-28 Yi Zhang , Tarun Grover , Ashvin Vishwanath

The study of anyons in topologically ordered quantum systems has mainly relied on edge-state interferometry. However, realizing controlled braiding of anyons necessitates the ability to detect and manipulate individual anyons within the…

Mesoscale and Nanoscale Physics · Physics 2026-02-09 Nader Mostaan , Nathan Goldman , Ataç İmamoğlu , Fabian Grusdt

Spin squeezing is a form of entanglement that can improve the stability of quantum sensors operating with multiple particles, by inducing inter-particle correlations that redistribute the quantum projection noise. Previous analyses of…

Quantum Physics · Physics 2018-10-16 Boris Braverman , Akio Kawasaki , Vladan Vuletic

We establish an exact mapping between identical particles in one dimension with arbitrary exchange statistics, including bosons, anyons and fermions, provided they share the same scattering length. This boson-anyon-fermion mapping…

Quantum Gases · Physics 2025-06-27 Haitian Wang , Yu Chen , Xiaoling Cui

Non-Abelian anyons are exotic quasiparticle excitations hosted by certain topological phases of matter. They break the fermion-boson dichotomy and obey non-Abelian braiding statistics: their interchanges yield unitary operations, rather…

We provide a comprehensive systematic method for the numerical computation of elementary braid operations in topological quantum computation (TQC). This {procedure} is systematically applicable to all anyon models, including $SU(2)_k$.…

Utilizing an electronic Fabry-Perot interferometer in which Coulomb charging effects are suppressed, we report experimental observation of anyonic braiding statistics for the $\nu=1/3$ fractional quantum Hall state. Strong Aharonov-Bohm…

Mesoscale and Nanoscale Physics · Physics 2021-07-06 James Nakamura , Shuang Liang , Geoffrey C. Gardner , Michael J. Manfra

Attosecond nonlinear Fourier transform (NFT) pump probe spectroscopy is an experimental technique which allows investigation of the electronic excitation, ionization, and unimolecular dissociation processes. The NFT spectroscopy utilizes…

Chemical Physics · Physics 2021-02-11 Sergy Grebenshchikov , Sergio Carbajo

We proposed an entangled multi-knot lattice model to explore the exotic statistics of anyon. This knot lattice model bears abelian and non-abelian anyons as well as integral and fractional filling states that is similar to quantum Hall…

Strongly Correlated Electrons · Physics 2019-03-06 Tieyan Si