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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

We show that anyonic statistics fundamentally reshapes non-Hermitian many-body physics by intrinsically breaking pseudo-Hermiticity, leading to a unique real-complex spectral transition with characteristically dense states in Im$E$. This…

Quantum Physics · Physics 2026-03-19 Yi Qin , Yee Sin Ang , Linhu Li , Ching Hua Lee

We study a 2+1 dimensional theory of bosons and fermions with an omega ~ k^2 dispersion relation. The most general interactions consistent with specific symmetries impart fractional statistics to the fermions. Unlike examples involving…

High Energy Physics - Theory · Physics 2012-06-01 A. Liam Fitzpatrick , Shamit Kachru , Jared Kaplan , Emanuel Katz , Jay G. Wacker

Anyons are exotic quasi-particles with fractional charge that can emerge as fundamental excitations of strongly interacting topological quantum phases of matter. Unlike ordinary fermions and bosons, they may obey non-abelian statistics--a…

Strongly Correlated Electrons · Physics 2018-03-14 Zlatko Papić , Roger S. K. Mong , Ali Yazdani , Michael P. Zaletel

Quadratic bosonic Hamiltonians over a one-particle Hilbert space can be described by a Bogoliubov-de Gennes (BdG) Hamiltonian on a particle-hole Hilbert space. In general, the BdG Hamiltonian is not selfadjoint, but only $J$-selfadjoint on…

Mathematical Physics · Physics 2018-04-04 Vittorio Peano , Hermann Schulz-Baldes

Anyons in a topologically ordered phase can carry fractional quantum numbers with respect to the symmetry group of the considered system, one example being the fractional charge of the quasiparticles in the fractional quantum Hall effect.…

Strongly Correlated Electrons · Physics 2023-01-18 Michael Schuler , Louis-Paul Henry , Yuan-Ming Lu , Andreas M. Läuchli

The homogeneous partly pinned fluid systems are simple models of a fluid confined in a disordered porous matrix obtained by arresting randomly chosen particles in a one-component bulk fluid or one of the two components of a binary mixture.…

Soft Condensed Matter · Physics 2010-12-07 Vincent Krakoviack

Topological quantum states of matter, both Abelian and non-Abelian, are characterized by excitations whose wavefunctions undergo non-trivial statistical transformations as one excitation is moved (braided) around another. Topological…

Quantum Physics · Physics 2009-11-13 Chuanwei Zhang , V. W. Scarola , Sumanta Tewari , S. Das Sarma

The existence of phase-separated states is an essential feature of infinite-volume systems with a thermal, first-order phase transition. At energies between those at which the phase transition takes place, equilibrium homogeneous states are…

Although coarse-grained models have been widely used to explain exotic phenomena in complex fluids, such as droplet formation in living cells, these conventional approaches often fail to capture the intricate microscopic degrees of freedom…

Soft Condensed Matter · Physics 2025-06-13 Masanari Shimada , Tetsuya J. Kobayashi

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

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…

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

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 enquire into the quasi-many-body localization in topologically ordered states of matter, revolving around the case of Kitaev toric code on ladder geometry, where different types of anyonic defects carry different masses induced by…

Disordered Systems and Neural Networks · Physics 2018-02-12 H. Yarloo , A. Langari , A. Vaezi

We investigate the physical properties of steady flows in a holographic first-order phase transition model, extending from the thermodynamics at equilibrium to the real-time dynamics far from equilibrium. Through spinodal decomposition or…

High Energy Physics - Theory · Physics 2025-01-24 Qian Chen , Yuxuan Liu , Yu Tian , Xiaoning Wu , Hongbao Zhang

The dynamics in weakly chaotic Hamiltonian systems strongly depends on initial conditions and little can be affirmed about generic behaviors. Using two distinct Hamiltonian systems, namely one particle in an open rectangular billiard and…

Chaotic Dynamics · Physics 2013-01-30 Marcelo S. Custódio , Cesar Manchein , Marcus W. Beims

One-dimensional anyonic models of the Hubbard type show intriguing ground-state properties, effectively transmuting between Bose-Einstein and Fermi-Dirac statistics. The simplest model that one can investigate is an anyonic version of the…

Quantum Gases · Physics 2023-11-01 Martin Bonkhoff , Simon B. Jäger , Imke Schneider , Axel Pelster , Sebastian Eggert

It has been recently shown that a colloidal monolayer, e.g., formed at a fluid interface or by means of a suitable confining potential, exhibits anomalous collective diffusion. This is a consequence of the hydrodynamic interactions mediated…

Soft Condensed Matter · Physics 2017-04-05 Johannes Bleibel , Alvaro Domínguez , Martin Oettel

Many-particle quantum systems with intermediate anyonic exchange statistics are supported in one spatial dimension. In this context, the anyon-anyon mapping is recast as a continuous transformation that generates shifts of the statistical…

Quantum Physics · Physics 2023-12-21 Naim E. Mackel , Jing Yang , Adolfo del Campo