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Related papers: Synthetic anyons in noninteracting systems

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Studying quantum entanglement in systems of indistinguishable particles, in particular anyons, poses subtle challenges. Here, we investigate a model of one-dimensional anyons defined by a generalized algebra. This algebra has the special…

Quantum Physics · Physics 2022-09-26 V V Sreedhar , N Ramadas

We describe a theoretical proposal for a system whose excitations are anyons with the exchange phase pi/4 and charge -e/2, but, remarkably, can be built by filling a set of single-particle states of essentially noninteracting electrons. The…

Mesoscale and Nanoscale Physics · Physics 2011-08-08 C. Weeks , G. Rosenberg , B. Seradjeh , M. Franz

Born-Infeld nonlinear electrodynamics with point singularities having both electric and magnetic charges are considered. Problem of interaction between the associated soliton dyon solutions is investigated. For the case of long-range…

High Energy Physics - Theory · Physics 2010-02-03 Alexander A. Chernitskii

We study fermionic and bosonic systems coupled to a real or synthetic static gauge field that is quantized, so the field itself is a quantum degree of freedom and can exist in coherent superposition. A natural example is electrons on a…

Mesoscale and Nanoscale Physics · Physics 2025-10-21 Adel Ali , Alexey Belyanin

The hallmark of a 2 dimensional topologically ordered phase is the existence of deconfined `anyon' excitations that have exotic braiding and exchange statistics, different from those of ordinary bosons or fermions. As opposed to…

Strongly Correlated Electrons · Physics 2017-08-02 Lukasz Fidkowski , Ashvin Vishwanath

Strongly interacting topologically ordered many-body systems consisting of fermions or bosons can host exotic quasiparticles with anyonic statistics. This raises the question whether many-body systems of anyons can also form anyonic…

Strongly Correlated Electrons · Physics 2020-09-15 Julia Wildeboer , Aniket Patra , Sourav Manna , Anne E. B. Nielsen

It has been recently shown that in the Heisenberg (anti)ferromagnet on the honeycomb lattice, the magnons (spin wave quasipacticles) realize a massless two-dimensional (2D) Dirac-like Hamiltonian. It was shown that the Dirac magnon…

Strongly Correlated Electrons · Physics 2016-07-21 S. A. Owerre

Anyon systems are studied in connection with several interesting applications including high $T_C$ superconductivity and topological quantum computing. In this work we show that these systems can be realized starting from directed polymers…

Soft Condensed Matter · Physics 2013-04-30 Franco Ferrari , Jarosław Paturej , Marcin Piątek , Yani Zhao

We propose theoretical schemes to realize the cyon and anyon by atoms which possess non-vanishing electric dipole moments. To realize a cyon, besides the atom, we need a magnetic field produced by a long magnetic-charged filament. To…

Quantum Physics · Physics 2020-08-26 Jian Jing , Yao-Yao Ma , Qing Wang , Zheng-Wen Long , Shi-Hai Dong

A quantum computer can perform exponentially faster than its classical counterpart. It works on the principle of superposition. But due to the decoherence effect, the superposition of a quantum state gets destroyed by the interaction with…

Quantum Physics · Physics 2022-08-23 Muhammad Ilyas

The contribution of anyonic degrees of freedom emerging in the non-Abelian spin sector of a one-dimensional system of interacting fermions carrying both $SU(2)$ spin and $SU(N_f)$ orbital degrees of freedom to the thermodynamic properties…

Strongly Correlated Electrons · Physics 2018-04-13 Daniel Borcherding , Holger Frahm

Fractional statistics give rise to quantum behaviors that differ fundamentally from those of bosons and fermions. While two-dimensional anyons play a major role in strongly correlated systems and topological quantum computing, the nature of…

A quantum computer can perform exponentially faster than its classical counterpart. It works on the principle of superposition. But due to the decoherence effect, the superposition of a quantum state gets destroyed by the interaction with…

Quantum Physics · Physics 2022-09-28 Muhammad Ilyas , Shawn Cui , Marek Perkowski

We consider a many-body system of 2D anyons, free quantum particles with general statistics parameter \alpha \in ]0,2[. In the magnetic gauge picture they are described as bosons attached to Aharonov-Bohm fluxes of intensity 2 \pi \alpha…

Analysis of PDEs · Mathematics 2023-10-24 Nicolas Rougerie , Qiyun Yang

We present two examples of parity-invariant $[U(1)]^{2}$ Chern-Simons-Higgs models with spontaneously broken symmetry. The models possess topological vortex excitations. It is argued that the smallest possible flux quanta are composites of…

High Energy Physics - Theory · Physics 2009-10-28 Jacek Dziarmaga

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

Multiple conduction channels interacting with a quantum impurity -- a spin in the conventional ``multi-channel Kondo effect'' or a topological mesoscopic device (``topological Kondo effect'') -- has been proposed as a platform to realize…

Strongly Correlated Electrons · Physics 2023-05-12 Guangjie Li , Elio J. König , Jukka I. Väyrynen

Unlike bosons and fermions, quasi-particles in two-dimensional quantum systems, known as anyons, exhibit statistical exchange phases that range between $0$ and $\pi$. In fractional quantum Hall states, these anyons, possessing a fraction of…

Mesoscale and Nanoscale Physics · Physics 2024-04-30 Matthias Thamm , Bernd Rosenow

We argue that the results obtained using the quantum mechanical method of self-adjoint extension of the Schr\"odinger Hamiltonian can also be derived using Feynman perturbation theory in the investigation of the corresponding…

High Energy Physics - Theory · Physics 2009-10-28 G. Amelino-Camelia , D. Bak

In two-dimensions, the laws of physics even permit the existence of anyons which exhibit fractional statistics ranging continuously from bosonic to fermionic behaviour. They have been responsible for the fractional quantum Hall effect and…

Quantum Physics · Physics 2007-12-18 Jiang-Feng Du , Jing Zhu , Ming-Guang Hu , Jing-Ling Chen