Dynamics and noise correlations in the expansion of one-dimensional anyon gases from a regular array
School of Physics and Electronics, Hunan University of Arts and Science, 415000, Changde, China
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Revised: 7 April 2015
Accepted: 10 May 2015
Published online: 1 June 2015
The dynamics and the noise correlations of one-dimensional anyons are investigated. We solve the time-dependent Schrödinger equation for the one-dimensional anyons interacting via a repulsive delta-function potential based on the Bethe Ansatz. Then the exact solutions are used to derive the explicit formulae of the noise correlations for both the non-interacting and interacting anyons released from a regular array. For the non-interacting anyons, the noise correlations exhibit striking peaks, where the location, the value and the sign of those peaks differ as the anyonic statistical parameter varies, interpolating between the known results of Bose and Fermi gas. For the interacting anyons, apart from the anyonic statistics, the Hamiltonian also exhibits dynamical interactions. Thus the noise correlations for the interacting anyons have a number of features that distinguish it from the non-interacting problem. A set of line-shapes appear in the noise correlations due to the distribution of scattering phases. The width, the sign and location of the line-shape depend strongly on the interaction strength and the statistical parameter. In the Tonks-Giradeau limit, the anyonic correlations reverse the noise correlations of the non-interacting cases due to the phase shift in the scattering phase.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2015