Strongly interacting mesoscopic systems of anyons in one dimension
Abstract
Using the fractional statistical properties of socalled anyonic particles, we present solutions of the Schrödinger equation for up to six strongly interacting particles in onedimensional confinement that interpolate the usual bosonic and fermionic limits. These solutions are exact to linear order in the inverse coupling strength of the zerorange interaction of our model. Specifically, we consider twocomponent mixtures of anyons and use these to eludicate the mixingdemixing properties of both balanced and imbalanced systems. Importantly, we demonstrate that the degree of demixing depends sensitively on the external trap in which the particles are confined. We also show how one may in principle probe the statistical parameter of an anyonic system by injection a strongly interacting impurity and doing spectral or tunneling measurements.
 Publication:

Physical Review A
 Pub Date:
 December 2015
 DOI:
 10.1103/PhysRevA.92.063634
 arXiv:
 arXiv:1406.3592
 Bibcode:
 2015PhRvA..92f3634Z
 Keywords:

 67.85.Pq;
 05.30.Pr;
 03.65.Ca;
 71.10.Pm;
 Mixtures of Bose and Fermi gases;
 Fractional statistics systems;
 Formalism;
 Fermions in reduced dimensions;
 Condensed Matter  Quantum Gases;
 Condensed Matter  Strongly Correlated Electrons;
 Quantum Physics
 EPrint:
 6 pages, 5 figures, final version with corrected equation (A3)