Scattering of solitons by quantum excitations

A. E. Kaplan, P. L. Shkolnikov, B. A. Akanaev

We found conditions for excitation of bright-bright 2pi solitons in stimulated Raman scattering that involves nutation of population at Raman quantum levels, for two (laser-Stokes) and three (e.g., laser-Stokes-anti-Stokes) components. The soliton components at all participating frequencies are bright solitons of the same, Lorentzian, shape, in contrast to the well-known bright-dark soliton combination in stimulated Raman scattering.

N. H. Christ, T. D. Lee

Alan H. Luther

The excitation spectrum in several models of the one-dimensional electron gas is calculated. The models studied are the backward scattering model, charge transfer model, and strong-coupling spinless fermion model, with no restrictions on the interaction strengths. All can exhibit new types of elementary excitations which are identified as quantum solitons and bound solitons. These excitations can participate in transport, and are exponentially activated at low temperatures. The gap energy is calculated for arbitrary coupling strengths in the various models, using a procedure which exactly solves the quantum sine-Gordon equation in one dimension.

Andreas Sizmann

仁貴 渡部

Jean Avan, Anastasia Doikou, Nikos Karaiskos

A quantum spin chain with non-conventional boundary conditions is studied. The distinct nature of these boundary conditions arises from the conversion of a soliton to an anti-soliton after being reflected by the boundary, hence the appellation soliton non-preserving boundary conditions. We focus on the simplest non-trivial case of this class of models based on the twisted Yangian quadratic algebra. Our computations are performed through the Bethe ansatz equations in the thermodynamic limit. We formulate a suitable quantization condition describing the scattering process and proceed with explicitly determining the bulk and boundary scattering amplitudes. The energy and quantum numbers of the low lying excitations are also derived.