Solitary excitations in one-dimensional spin chains

Anton Wöllert and Andreas Honecker
Phys. Rev. B 85, 184433 – Published 30 May 2012

Abstract

We study the real-time evolution of solitary excitations in one-dimensional quantum spin chains using exact diagonalization and the density-matrix renormalization group. The underlying question of this work is the correspondence between classical solitons and solitons in quantum mechanics. While classical solitons as eigensolutions of nonlinear wave equations are localized and have a sharp momentum, this is not possible in the corresponding quantum case due to the linearity of the Schrödinger equation or, seen in a more pictorial way, because of the uncertainty relation. For the case of the XXZ model it is shown that the real-time evolution of quantum wave packets accompanied by spreading is in qualitative accordance with that predicted by classical solitons.

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  • Received 22 February 2012

DOI:https://doi.org/10.1103/PhysRevB.85.184433

©2012 American Physical Society

Authors & Affiliations

Anton Wöllert*

  • Institut für Theoretische Physik, Georg-August-Universität Göttingen, 37077 Göttingen, Germany

Andreas Honecker

  • Institut für Theoretische Physik, Georg-August-Universität Göttingen, 37077 Göttingen, Germany and Fakultät für Mathematik und Informatik, Georg-August-Universität Göttingen, 37073 Göttingen, Germany

  • *anton.woellert@mpi-hd.mpg.de

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Issue

Vol. 85, Iss. 18 — 1 May 2012

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