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We investigate the quantum anomalous Hall effect in a mixture of ultra-cold neutral bosons and fermions held on a hexagonal optical lattice. In the strong atom-atom interaction limit, composite fermions composed of one fermion with bosons…

Quantum Gases · Physics 2015-06-04 Shang-Shun Zhang , Heng Fan , Wu-Ming Liu

For non-equilibrium systems of interacting particles and for interacting diffusions in d dimensions, a novel fluctuation relation is derived. The theorem establishes a quantitative relation between the probabilities of observing two current…

Statistical Mechanics · Physics 2015-12-07 Carlos Pérez-Espigares , Frank Redig , Cristian Giardinà

The parton theory constructs candidate fractional quantum Hall states by decomposing the physical particles into unphysical partons, placing the partons in integer quantum Hall states, and then gluing the partons back into the physical…

Strongly Correlated Electrons · Physics 2024-12-13 Koji Kudo , Jonathan Schirmer , Jainendra K. Jain

Quantum features of the baryon number fluctuations in subsystems of a hot and dense relativistic gas of fermions are analyzed. We find that the fluctuations in small systems are significantly increased compared to their values known from…

Nuclear Theory · Physics 2022-07-15 Arpan Das , Wojciech Florkowski , Radoslaw Ryblewski , Rajeev Singh

The spin-excitations of a fractional quantum Hall system are evaluated within a bosonization approach. In a first step, we generalize Murthy and Shankar's Hamiltonian theory of the fractional quantum Hall effect to the case of composite…

Materials Science · Physics 2007-05-23 R. L. Doretto , M. O. Goerbig , P. Lederer , A. O. Caldeira , C. Morais Smith

Anyon collision experiments have recently demonstrated the ability to discriminate between fermionic and anyonic statistics. However, only one type of anyons associated with the simple Laughlin state at filling factor $\nu=1/3$ has been…

Mesoscale and Nanoscale Physics · Physics 2022-10-04 M. Ruelle , E. Frigerio , J. -M. Berroir , B. Plaçais , J. Rech , A. Cavanna , U. Gennser , Y. Jin , G. Fève

One of the profound consequences of the fractional quantum Hall (FQH) effect is the notion of fractionally charged anyons. In spite of extensive experimental study, puzzles remain, however. For example, both shot-noise and Aharonov-Bohm…

Strongly Correlated Electrons · Physics 2025-12-09 Mytraya Gattu , J. K. Jain

The influence of thermal fluctuations on fermion pairing is investigated using a semiclassical treatment of fluctuations. When the average pairing gaps along with those differing by one standard deviation are used, the characteristic…

Nuclear Theory · Physics 2018-12-27 M. A. A. Mamun , C. Constantinou , M. Prakash

The fluctuation-dissipation theorem together with the exact density response spectrum for ideal quantum gases has been utilized to yield a new expression for the static structure factor, which we use to derive exact analytical expressions…

Quantum Gases · Physics 2011-10-25 J. Bosse , K. N. Pathak , G. S. Singh

A composite fermion edge state theory of current fluctuations, fractional quasiparticle charge and Johnson-Nyquist noise in the fractional quantum Hall regime is presented. It is shown that composite fermion current fluctuations and the…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 George Kirczenow

The difference between boson and fermion dynamics in quasi-one-dimensional lattices is studied with exact simulations of particle motion and by calculating the persistent current in small quantum rings. We consider three different lattices…

Quantum Gases · Physics 2013-03-14 M. Hyrkäs , V. Apaja , M. Manninen

We explore the relation between proton and nucleon number fluctuations in the final state in relativistic heavy ion collisions. It is shown that the correlations between the isospins of nucleons in the final state are almost negligible over…

Nuclear Theory · Physics 2015-06-05 Masakiyo Kitazawa , Masayuki Asakawa

Studies of free particles in low-dimensional quantum systems such as two-leg ladders provide insight into the influence of statistics on collective behaviour. The behaviours of bosons and fermions are well understood, but two-dimensional…

Strongly Correlated Electrons · Physics 2015-10-20 Robert N. C. Pfeifer

We study the consequences of long-range Coulomb interactions at the critical points between integer/fractional quantum Hall states and an insulator. We use low energy theories for such transitions in anyon gases in the presence of an…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Jinwu Ye , Subir Sachdev

Anyons are quasiparticles in two-dimensional systems that show statistical properties very distinct from those of bosons or fermions. While their isolated observation has not yet been achieved, here we perform a quantum simulation of anyons…

Quantum Physics · Physics 2009-08-14 J. K. Pachos , W. Wieczorek , C. Schmid , N. Kiesel , R. Pohlner , H. Weinfurter

We address ourselves to a class of systems composed of two coupled subsystems without any intra-subsystem interaction: itinerant Fermions and localized Bosons on a lattice. Switching on an interaction between the two subsystems leads to…

Superconductivity · Physics 2009-10-31 T. Domanski , J. Ranninger

We study the role of electron-electron interactions near integer and abelian fractional quantum Hall (QH) transitions using composite fermion (CF) representations. Interaction effects are encapsulated in CF theories as gauge fluctuations.…

Strongly Correlated Electrons · Physics 2022-08-26 Prashant Kumar , P. A. Nosov , S. Raghu

We study the spin-Hall conductance fluctuations in ballistic mesoscopic systems. We obtain universal expressions for the spin and charge current fluctuations, cast in terms of current-current autocorrelation functions. We show that the…

Mesoscale and Nanoscale Physics · Physics 2012-12-14 J. G. G. S. Ramos , A. L. R. Barbosa , D. Bazeia , M. S. Hussein , C. H. Lewenkopf

For a quantum system of N identical, harmonically interacting particles in a one-dimensional harmonic trap we calculate for the bosonic and fermionic ground state the corresponding 1-particle reduced density operator $\rho_1$ analytically.…

Quantum Physics · Physics 2015-06-16 Christian Schilling

Axions and other light particles appear ubiquitously in physics beyond the Standard Model, with a variety of possible couplings to ordinary matter. Cosmology offers a unique probe of these particles as they can thermalize in the hot…

Cosmology and Nongalactic Astrophysics · Physics 2022-04-04 Daniel Green , Yi Guo , Benjamin Wallisch