Real-time energy dynamics in spin-1/2 Heisenberg chains

Langer, Stephan, Heyl, Markus, McCulloch, Ian P. and Heidrich-Meisner, Fabien (2011) Real-time energy dynamics in spin-1/2 Heisenberg chains. Physical Review B, 84 39 Article No.205115: . doi:10.1103/PhysRevB.84.205115

Attached Files (Some files may be inaccessible until you login with your UQ eSpace credentials)
Name Description MIMEType Size Downloads
UQ263640.pdf Full text (open access) application/pdf 973.17KB 20

Author Langer, Stephan
Heyl, Markus
McCulloch, Ian P.
Heidrich-Meisner, Fabien
Title Real-time energy dynamics in spin-1/2 Heisenberg chains
Journal name Physical Review B   Check publisher's open access policy
ISSN 1098-0121
Publication date 2011-11
Sub-type Article (original research)
DOI 10.1103/PhysRevB.84.205115
Open Access Status File (Publisher version)
Volume 84
Issue 39 Article No.205115
Total pages 14
Place of publication College Park, MD, United States
Publisher American Physical Society
Collection year 2012
Language eng
Formatted abstract
We study the real-time dynamics of the local energy density in the spin-1/2 XXZ chain starting from initial states with an inhomogeneous profile of bond energies. Numerical simulations of the dynamics of the initial states are carried out using the adaptive time-dependent density matrix renormalization group method. We analyze the time dependence of the spatial variance associated with the local energy density to classify the dynamics as either ballistic or diffusive. Our results are consistent with ballistic behavior both in the massless and the massive phase. We also study the same problem within Luttinger liquid theory and obtain that energy wave packets propagate with the sound velocity. We recover this behavior in our numerical simulations in the limit of very weakly perturbed initial states.
Keyword Matrix Renormalization-Group
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ
Additional Notes Received 20 July 2011; revised 23 September 2011; published 14 November 2011; ©2011 American Physical Society

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2012 Collection
Version Filter Type
Citation counts: TR Web of Science Citation Count  Cited 26 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 18 times in Scopus Article | Citations
Google Scholar Search Google Scholar
Created: Sun, 18 Dec 2011, 16:41:09 EST by System User on behalf of School of Mathematics & Physics