Fast Track Communication

doi:10.1088/1751-8113/41/49/492001

FAST TRACK COMMUNICATION

Transport of interface states in the Heisenberg chain

Tom Michoel et al 2008 J. Phys. A: Math. Theor. 41 492001 (13pp) doi: 10.1088/1751-8113/41/49/492001

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Tom Michoel^1,4, Bruno Nachtergaele² and Wolfgang Spitzer³
¹ Institute for Theoretical Physics, Katholieke Universiteit Leuven, Celestijnenlaan 200D, B–3001 Leuven, Belgium
² Department of Mathematics, University of California, Davis, One Shields Avenue, Davis, CA 95616-8366, USA
³ Institut für Theoretische Physik, Universität Erlangen-Nürnberg, 91058 Erlangen, Germany
⁴ Current address: Department of Molecular Genetics, Ghent University and Department of Plant Systems Biology, VIB, Technologiepark 927, B-9052 Gent, Belgium. Copyright 2008 by the authors. This article may be reproduced in its entirety for non-commercial purposes
E-mail: tom.michoel@psb.ugent.be, bxn@math.ucdavis.edu and wolfgang.spitzer@physik.uni-erlangen.de

Abstract. We demonstrate the transport of interface states in the one-dimensional ferromagnetic Heisenberg model by a time-dependent magnetic field. Our analysis is based on the standard adiabatic theorem. This is supplemented by a numerical analysis via the recently developed time-dependent density matrix renormalization group method, where we calculate the adiabatic constant as a function of the strength of the magnetic field and the anisotropy of the interaction.

PACS numbers: 05.10.Gg, 05.30.−d, 75.10.Pq

Print publication: Issue 49 (12 December 2008)
Received 17 August 2008, in final form 6 October 2008
Published 29 October 2008

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Transport of interface states in the Heisenberg chain

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