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Results obtained in the past for free boson systems at zero and nonzero temperature are revisited to clarify the physical meaning of current algebra reducible functionals which are associated to systems with density fluctuations, leading to…

Quantum Physics · Physics 2017-11-09 R. Vilela Mendes

We show that bosonic fields may present anyonic behavior when interacting with a fermion in a Jaynes-Cummings-like model. The proposal is accomplished via the interaction of a two-level system with two quantized modes of a harmonic…

Quantum Physics · Physics 2009-11-10 Roberto M. Serra , Angelo Carollo , Marcelo Franca Santos , Vlatko Vedral

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

I give a non-technical account of fractional statistics in one dimension. In systems with periodic boundary conditions, the crossing of anyons is always uni-directional, and the fractional phase $\theta$ acquired by the anyons gives rise to…

Quantum Physics · Physics 2022-04-25 Martin Greiter

We investigate pairing instabilities in the Fermi-liquid-like state of a single species of anyons. We describe the anyons as Fermions interacting with a Chern-Simons gauge field and consider the weak coupling limit where their statistics…

Condensed Matter · Physics 2009-10-22 M. I. Dobroliubov , I. I. Kogan , G. W. Semenoff

We study how to measure the current structure of the process that $B$ meson decays into two unstable fermions $\bar f_a$ and $f_b$ in model independent way. We use the momentum distributions of subsequent decay products affected by $\bar…

High Energy Physics - Phenomenology · Physics 2014-11-18 Akihiro Matsuzaki

Using the fractional statistical properties of so-called anyonic particles, we present exact solutions for up to six strongly interacting particles in one-dimensional confinement that interpolate the usual bosonic and fermionic limits.…

Quantum Gases · Physics 2016-04-13 N. T. Zinner

A Fermion to Boson transformation is accomplished by attaching to each Fermion a tube carrying a single quantum of flux oriented opposite to the applied magnetic field. When the mean field approximation is made in Haldane's spherical…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 John J. Quinn , Arkadiusz Wojs , Jennifer J. Quinn , Arthur T. Benjamin

In bilayer quantum Hall systems at filling fractions near nu=1/2+1/2, as the spacing d between the layers is continuously decreased, intra-layer correlations must be replaced by inter-layer correlations, and the composite fermion (CF) Fermi…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Steven H. Simon , E. H. Rezayi , Milica Milovanovic

We study the nonlinear feedback in a fermion-boson system using an extension of dynamical mean-field theory and the quantum Monte Carlo method. In the perturbative regimes (weak-coupling and atomic limits) the effective interaction among…

Strongly Correlated Electrons · Physics 2007-05-23 Yukitoshi Motome , Gabriel Kotliar

In two-dimensional space there are possibilities for quantum statistics continuously interpolating between the bosonic and the fermionic one. Quasi-particles obeying such statistics can be described as ordinary bosons and fermions with…

Mathematical Physics · Physics 2021-09-01 Théotime Girardot , Nicolas Rougerie

We calculate the distribution of current fluctuations in two simple exclusion models. Although these models are classical, we recover even for small systems such as a simple or a double barrier, the same distibution of current as given by…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 Philippe-E. Roche , Bernard Derrida , Benoit Doucot

It is well known that the particles in a beam of Boson obeying Bose-Einstein statistics tend to cluster (bunching effect), while the particles in a degenerate beam of Fermion obeying Fermi-Dirac statistics expel each other (anti-bunching…

Condensed Matter · Physics 2009-11-07 Baigeng Wang , Jian Wang

Large back-to-back correlations of observable fermion -- anti-fermion pairs are predicted to appear, if the mass of the fermions is modified in a thermalized medium. The back-to-back correlations of protons and anti-protons are…

High Energy Physics - Phenomenology · Physics 2009-10-31 P. K. Panda , T. Csorgo , Y. Hama , G. Krein , Sandra S. Padula

We consider the analog in one spatial dimension of the Bose-Fermi transmutation for planar systems. A quantum mechanical system of a spin 1/2 particle coupled to an abelian gauge field, which is classically invariant under gauge…

High Energy Physics - Theory · Physics 2009-10-30 J. Gamboa , V. O. Rivelles , J. Zanelli

A totally asymmetric exclusion process consisting of classical particles with next-nearest-neighbor interactions has been considered on a 1D discrete lattice with a ring geometry. Using large deviation techniques, we have investigated…

Statistical Mechanics · Physics 2020-01-29 Sara Kaviani , Farhad H. Jafarpour

A Fermion to Boson transformation is accomplished by attaching to each Fermion a single flux quantum oriented opposite to the applied magnetic field. When the mean field approximation is made in the Haldane spherical geometry, the Fermion…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 John J. Quinn , Arkadiusz Wojs , Jennifer J. Quinn , Arthur Benjamin

Latest measurements of $\Delta\eta\Delta\varphi$ correlations of identified particles show differences in particle production between baryons and mesons. The correlation functions for mesons exhibit the expected peak dominated by effects of…

High Energy Physics - Experiment · Physics 2023-07-11 Małgorzata Anna Janik

We investigate fluctuations in the canonical ensemble of an Abelian charge, such as baryon number. Our focus is on cumulants and factorial cumulants of baryon and antibaryon multiplicity distributions, including their sum and difference, in…

Nuclear Theory · Physics 2025-08-27 Bengt Friman , Krzysztof Redlich , Anar Rustamov

In one and two spatial dimensions there is a logical possibility for identical quantum particles different from bosons and fermions, obeying intermediate or fractional (anyon) statistics. We consider applications of a recent Lieb-Thirring…

Mathematical Physics · Physics 2014-10-14 Douglas Lundholm , Jan Philip Solovej