Dynamical windows for real-time evolution with matrix product states

Phien, Ho N., Vidal, Guifé and McCulloch, Ian P. (2013) Dynamical windows for real-time evolution with matrix product states. Physical Review B, 88 3: 035103.1-035103.9. doi:10.1103/PhysRevB.88.035103

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Author Phien, Ho N.
Vidal, Guifé
McCulloch, Ian P.
Title Dynamical windows for real-time evolution with matrix product states
Journal name Physical Review B   Check publisher's open access policy
ISSN 1098-0121
Publication date 2013-07-15
Year available 1986
Sub-type Article (original research)
DOI 10.1103/PhysRevB.88.035103
Open Access Status File (Publisher version)
Volume 88
Issue 3
Start page 035103.1
End page 035103.9
Total pages 9
Place of publication United States
Publisher American Physical Society
Language eng
Formatted abstract
We propose the use of a dynamical window to investigate the real-time evolution of quantum many-body systems in a one-dimensional lattice. In a recent paper [ Phien et al. Phys. Rev. B 86 245107 (2012)], we introduced infinite boundary conditions in order to investigate real-time evolution of an infinite system under a local perturbation. This was accomplished by restricting the update of the tensors in the matrix product state to a finite region known as a window, with left and right boundaries held at fixed positions. Here we consider instead the use of a dynamical window, where the positions of left and right boundaries are allowed to change in time. In this way, all computational efforts can be devoted to the space-time region of interest, which leads to a remarkable reduction in simulation costs. For illustrative purposes, we consider two applications in the context of the spin-1 antiferromagnetic Heisenberg model in an infinite spin chain: one is an expanding window, with boundaries that are adjusted to capture the expansion in time of a local perturbation of the system; the other is a moving window of fixed size, where the position of the window follows the front of a propagating wave.
Keyword Quantum renormalization-groups
Q-Index Code C1
Q-Index Status Confirmed Code
Grant ID DP1092513
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
Official 2014 Collection
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Citation counts: TR Web of Science Citation Count  Cited 3 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 2 times in Scopus Article | Citations
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