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The energy levels of two and three anyons in a two-dimensional parabolic quantum dot and a perpendicular magnetic field are computed as power series in 1/|J|, where J is the angular momentum. The particles interact repulsively through a…

Mesoscale and Nanoscale Physics · Physics 2009-10-30 Ricardo Perez , Augusto Gonzalez

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

We theoretically investigate the nonlinearity of trion-polaritons in a two-dimensional material that arises from Coulomb interaction between quasiparticles. To evaluate the interaction constant, we solve a three-body Wannier equation…

Mesoscale and Nanoscale Physics · Physics 2022-07-08 Kok Wee Song , Salvatore Chiavazzo , Ivan A. Shelykh , Oleksandr Kyriienko

We investigate Wilczeck's mutual fractional statistical model at the field- theoretical level. The effective Hamiltonian for the particles is derived by the canonical procedure, whereas the commutators of the anyonic excitations are proved…

Condensed Matter · Physics 2009-10-28 Yue-lin Shen , Mo-lin Ge

We consider a hybrid atom-ion system consisting of a pair of bosons interacting with a single ion in a quasi-one-dimensional trapping geometry. Building upon a model potential for the atom-ion interaction developed in earlier theoretical…

Quantum Physics · Physics 2023-02-14 Daniel J. Bosworth , Maxim Pyzh , Peter Schmelcher

We consider a hamiltonian system on the real line, consisting of real scalar field $\phi(x,t)$ and point particle with trajectory $y(t)$. The dynamics of this system is defined by the system of two equations: wave equation for the field,…

Mathematical Physics · Physics 2016-11-03 V. A. Malyshev , S. A. Pirogov

We discuss the quantum mechanics of particles of arbitrary statistics on an infinite cylinder with and without a magnetic field perpendicular to the surface. In the presence of a magnetic field, the translational symmetry along the cylinder…

Condensed Matter · Physics 2009-10-22 Erik Westerberg , T. H. Hansson

The Brownian motion of a test particle interacting with a quantum scalar field in the presence of a perfectly reflecting boundary is studied in (1 + 1)-dimensional flat spacetime. Particularly, the expressions for dispersions in velocity…

Quantum Physics · Physics 2014-09-02 V. A. De Lorenci , E. S. Moreira , M. M. Silva

We present the first direct measurement of three-body interactions in a colloidal system comprised of three charged colloidal particles. Two of the particles have been confined by means of a scanned laser tweezers to a line-shaped optical…

Soft Condensed Matter · Physics 2008-01-28 J. Dobnikar , M. Brunner , H. H. von Grünberg , C. Bechinger

We discuss effective field theory treatments of the problem of three particles interacting via short-range forces (range R >> a_2, with a_2 the two-body scattering length). We show that forming a once-subtracted scattering equation yields a…

Other Condensed Matter · Physics 2009-04-17 L. Platter , D. R. Phillips

The thermodynamic interaction at thermodynamic equilibrium in the free fermion gas is alternatively described by the coupling of particles with a scalar thermodynamic field which features a self-interaction. The gauge fields in $SU_c(3)$…

High Energy Physics - Phenomenology · Physics 2007-05-23 W. Z. Jiang

We define a Chern- Simons Lagrangian for a system of planar particles topologically interacting at a distance. The anyon model appears as a particular case where all the particles are identical. We propose exact N-body eigenstates, set up a…

High Energy Physics - Theory · Physics 2009-10-22 Alain Dasnieres de Veigy , Stephane Ouvry

We investigate the behaviour of a system of particles with the different character of interaction. The approach makes it possible to describe systems of interacting particles by statistical methods taking into account a spatial…

Condensed Matter · Physics 2007-05-23 Volodymyr Krasnoholovets , Bohdan Lev

The quantum dynamics of a subset of interacting bosons in a subspace of fixed particle number is described in terms of symmetrized many-particle states. A suitable partial trace operation over the von Neumann equation of an $N$-particle…

Quantum Physics · Physics 2018-02-21 Manuel Gessner , Andreas Buchleitner

We investigate the dynamics of colloids at a fluid interface driven by attractive capillary interactions. At submillimeter length scales, the capillary attraction is formally analogous to two-dimensional gravity. In particular it is a…

Soft Condensed Matter · Physics 2010-07-27 Alvaro Dominguez , Martin Oettel , S. Dietrich

Within a closed system, physical interactions are reciprocal. However, the effective interaction between two entities of an open system may not obey reciprocity. Here, we describe a non-reciprocal interaction between nanoparticles which is…

Optics · Physics 2024-02-02 Amir M. Jazayeri , Sohila Abdelhafiz , Aristide Dogariu

Ring exchange is an elementary interaction for modeling unconventional topological matters which hold promise for efficient quantum information processing. We report the observation of four-body ring-exchange interactions and the…

We consider meson-baryon interactions in S-wave with strangeness -1. This is a sector populated by plenty of resonances interacting in several two-body coupled channels. We consider a large set of experimental data, where the recent…

High Energy Physics - Phenomenology · Physics 2008-11-26 Jose A. Oller , Joaquim Prades , Michela Verbeni

In present work, we study an numerical approach to one dimensional finite volume three-body interaction, the method is demonstrated by considering a toy model of three spinless particles interacting with pair-wise $\delta$-function…

High Energy Physics - Lattice · Physics 2018-01-31 Peng Guo , Vladimir Gasparian

Issues related to quantum entanglement in systems of indistinguishable particles, as discussed in the information theoretic approach, are extended to anyonic statistics. Local and non-local measurements discussed in this framework are…

Quantum Physics · Physics 2021-10-28 Ramadas N , V V Sreedhar