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We study the collective modes of a confined gaseous cloud of bosons and fermions with mutual attractive interactions at zero temperature. The cloud consists of a Bose-Einstein condensate and a spin-polarized Fermi gas inside a spherical…

Soft Condensed Matter · Physics 2007-05-23 P. Capuzzi , A. Minguzzi , M. P. Tosi

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

In quantum theory, particles in three spatial dimensions come in two different types: bosons or fermions, which exhibit sharply contrasting behaviours due to their different exchange statistics. Could more general forms of probabilistic…

Quantum Physics · Physics 2013-11-05 Oscar C. O. Dahlsten , Andrew J. P. Garner , Jayne Thompson , Mile Gu , Vlatko Vedral

Binary mixtures of hard-spheres with different diameters and square-well attraction between different particles are studied by theory and Monte Carlo simulations. In our mesoscopic theory, local fluctuations of the volume fraction of the…

Soft Condensed Matter · Physics 2021-10-04 O. Patsahan , A. Meyra , A. Ciach

Anyons occur in two-dimensional electron systems as excitations with fractional charge in the topologically ordered states of the Fractional Quantum Hall Effect (FQHE). Their dynamics are of utmost importance for topological quantum phases…

Mesoscale and Nanoscale Physics · Physics 2019-03-18 M. Kapfer , P. Roulleau , M. Santin , I. Farrer , D. A. Ritchie , D. C. Glattli

We propose a two-fluid description of fractional quantum Hall systems, in which one component is a condensate of composite bosons and the other a Fermi liquid formed by composite fermions (or simply electrons). We employ the theory to model…

Strongly Correlated Electrons · Physics 2023-11-13 Zhaoyu Han , Kyung-Su Kim , Steven A. Kivelson , Thors Hans Hansson

Particle statistics impose fundamental constraints on nonequilibrium quantum dynamics, yet it remains an open question whether anyonic statistics can lead to emergent dynamical scaling beyond the conventional Bose-Fermi paradigm. Here we…

Quantum Gases · Physics 2026-03-24 Xu-Chen Yang , Botao Wang , Jianpeng Liu , Bing Yang , Jianmin Yuan , Yongqiang Li

By analyzing the BCS-BEC crossover, I found that because of the pairing interactions,a continuous family of quantum statistics interpolating between fermions and bosons is possible, although it seems incapable to construct reasonable wave…

Statistical Mechanics · Physics 2007-12-04 Tao Wang

The phase factor $(-1)^{2s}$ that features in the exchange symmetry for identical spin-$s$ fermions or bosons is not simply and automatically equal to the phase factor one can observe in an interference experiment that involves physically…

Quantum Physics · Physics 2019-02-08 S. J. van Enk

We consider strongly correlated quantum circuits where a dc drive is added on top of an initial out-of-equilibrium (OE) stationary state. Within a perturbative approach, we derive unifying OE fluctuation relations for high frequency current…

Mesoscale and Nanoscale Physics · Physics 2020-07-22 Ines Safi

We consider the electronic analog of the quantum optics Hong-Ou-Mandel interferometer, in a realistic condensed matter device based on single electron emission in chiral edge states. For electron-electron collisions, we show that the…

Mesoscale and Nanoscale Physics · Physics 2012-09-26 T. Jonckheere , J. Rech , C. Wahl , T. Martin

Edge states of the quantum Hall fluid provide an opportunity to study mesoscopic effects in a highly correlated electron system that is both experimentally accessible and theoretically tractable. In this paper we review recent work on the…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Michael R. Geller , Daniel Loss

The topology of two-dimensional movement allows for existing of anyons -- particles obeying statistics intermediate between that of bosons and fermions. In this article, the functional form of the occupation numbers of free anyons is…

Statistical Mechanics · Physics 2017-11-29 Yanina Vasiuta , Andrij Rovenchak

In this paper we introduce a current-current type interaction term in the Lagrangian density of gravity coupled to complex scalar fields, in the presence of a degenerated Fermi gas. For low transferred momenta such a term, which might…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Claudio M. G. de Sousa , J. L. Tomazelli

Progress in the reliable preparation, coherent propagation and efficient detection of many-body states has recently brought collective quantum phenomena of many identical particles into the spotlight. This tutorial introduces the physics of…

Quantum Physics · Physics 2014-05-09 Malte C. Tichy

We propose a mesoscopic circuit in the quantum Hall effect regime comprising two uncorrelated single-particle sources and two distant Mach-Zehnder interferometers with magnetic fluxes, which allows in a controllable way to produce orbitally…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Janine Splettstoesser , Michael Moskalets , Markus Büttiker

Quasi-particles are elementary excitations of condensed matter quantum phases. Demonstrating that they keep quantum coherence while propagating is a fundamental issue for their manipulation for quantum information tasks. Here, we consider…

Mesoscale and Nanoscale Physics · Physics 2022-10-19 I. Taktak , M. Kapfer , J. Nath , P. Roulleau , M. Acciai , J. Splettstoesser , I. Farrer , D. A. Ritchie , D. C. Glattli

The elementary excitations of a fractional quantum Hall liquid are quasiparticles or quasiholes which are neither bosons nor fermions, but so-called anyons. Here we study impurity particles immersed in a quantum Hall liquid which bind to…

Mesoscale and Nanoscale Physics · Physics 2020-09-30 Tobias Graß , Bruno Juliá-Díaz , Niccolò Baldelli , Utso Bhattacharya , Maciej Lewenstein

We discuss the problem of anyonic statistics in one and two spatial dimensions from the point of view of statistical physics. In particular we want to understand how the choice of the Bornvon Karman or the twisted periodic boundary…

Statistical Mechanics · Physics 2021-02-03 Riccardo Fantoni

A ground state energy variational calculation of anyon gas with Hamiltonian included the interaction of spins of particles with anyon vector potential induced, i.e. statistical, magnetic field exhibits exact cancelation of terms connected…

Superconductivity · Physics 2007-05-23 B. Abdullaev , C. -H. Park
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