Regensburg 2016 – wissenschaftliches Programm

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TT: Fachverband Tiefe Temperaturen

TT 82: Correlated Electrons: Nonequilibrium Quantum Many-Body Systems 2

TT 82.6: Vortrag

Donnerstag, 10. März 2016, 17:45–18:00, H22

Quasi-soliton scattering in quantum spin chains — •Davide Fioretto¹, Rogier Vlijm², Martin Ganahl³, Michael Brockmann⁴, Masud Haque⁴, Hans-Gerd Evertz⁵, and Jean-Sébastien Caux² — ¹Institut für Theoretische Physik, Friedrich-Hund-Platz 1, 37077 Göttingen, Germany — ²Institute for Theoretical Physics, University of Amsterdam, Science Park 904, 1090 GL Amsterdam, The Netherlands — ³Perimeter Institute for Theoretical Physics, 31 Caroline Street North, ON N2L 2Y5, Canada — ⁴Max-Planck-Institut für Physik Komplexer Systeme, Nöthnitzer Strasse 38, 01187 Dresden, Germany — ⁵Institut für Theoretische Physik, Technische Universität Graz, Petersgasse 16, 8010 Graz, Austria

The quantum scattering of magnon bound states in the anisotropic Heisenberg spin chain is shown to display features similar to the scattering of solitons in classical exactly solvable models. Localized colliding Gaussian wave packets of bound magnons are constructed from string solutions of the Bethe equations and subsequently evolved in time, relying on an algebraic Bethe ansatz based framework for the computation of local expectation values in real space-time. The local magnetization profile shows the trajectories of colliding wave packets of bound magnons, which obtain a spatial displacement upon scattering. Analytic predictions on the displacements for various values of anisotropy and string lengths are derived from scattering theory and Bethe ansatz phase shifts, matching time evolution fits on the displacements.