Results 71 to 80 of about 369 (137)

Aharonov-Bohm Effect and the Supersymmetry of Identical Anyons

Acta Polytechnica, 2010
We briefly review the relation between the Aharonov-Bohm effect and the dynamical realization of anyons. We show how the particular symmetries of the Aharonov-Bohm model give rise to the (nonlinear) supersymmetry of the two-body system of identical ...
V. Jakubský
doaj  

Non-relativistic anyons from holography

Nuclear Physics B, 2017
We study generic types of holographic matter residing in Lifshitz invariant defect field theory as modeled by adding probe D-branes in the bulk black hole spacetime characterized by dynamical exponent z and with hyperscaling violation exponent θ.
Niko Jokela, Jarkko Järvelä, Alfonso V. Ramallo   +2 more
doaj   +1 more source

Braiding Fibonacci anyons

Journal of High Energy Physics
Fibonacci anyons ε provide the simplest possible model of non-Abelian fusion rules: [1] × [1] = [0] ⊕ [1]. We propose a conformal field theory construction of topological quantum registers based on Fibonacci anyons realized as quasiparticle excitations ...
Ludmil Hadjiivanov, Lachezar S. Georgiev
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Fractionalizing Majorana Fermions: Non-Abelian Statistics on the Edges of Abelian Quantum Hall States

Physical Review X, 2012
We study the non-Abelian statistics characterizing systems where counterpropagating gapless modes on the edges of fractional quantum Hall states are gapped by proximity coupling to superconductors and ferromagnets. The most transparent example is that of
Netanel H. Lindner, Erez Berg, Gil Refael, Ady Stern   +3 more
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Chiral edge states emerging on anyon-net

SciPost Physics Core
We propose a symmetry-based approach to constructing lattice models for chiral topological phases, focusing on non-Abelian anyons. Using a 2+1D version of anyon chains and modular tensor categories (MTCs), we ensure exact MTC symmetry at the microscopic ...
Atsushi Ueda, Kansei Inamura, Kantaro Ohmori
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Anyon condensation and tensor categories

Nuclear Physics B, 2014
Instead of studying anyon condensation in various concrete models, we take a bootstrap approach by considering an abstract situation, in which an anyon condensation happens in a 2-d topological phase with anyonic excitations given by a modular tensor ...
Liang Kong
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Sensing the binding and unbinding of anyons at impurities

Physical Review Research
Anyons are quasiparticles with fractional charge and statistics that arise in strongly correlated two-dimensional systems such as the fractional quantum Hall effect and fractional Chern insulators.
Glenn Wagner, Titus Neupert
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Intrinsic Mixed-State Topological Order

PRX Quantum
Decoherence is a major obstacle to the preparation of topological order in noisy intermediate-scale quantum devices. Here, we show that decoherence can also give rise to new types of topological order.
Zijian Wang, Zhengzhi Wu, Zhong Wang
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Anyon condensation in mixed-state topological order

SciPost Physics Core
We discuss anyon condensation in mixed-state topological order. The phases were recently conjectured to be classified by pre-modular fusion categories. Just like anyon condensation in pure-state topological order, a bootstrap analysis shows condensable ...
Ken Kikuchi, Kah-Sen Kam, Fu-Hsiang Huang
doaj   +1 more source

Quantum entanglement of anyonic charges and emergent spacetime geometry

New Journal of Physics
Intrinsically topologically ordered phases can host anyons. Here, we take the view that entanglement between anyons can give rise to an emergent geometry resembling Anti-de Sitter (AdS) space.
Hoang-Anh Le, Hyun Cheol Lee, S-R Eric Yang   +2 more
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