Ground State Fidelity from Tensor Network Representations

Zhou, Huan-Qiang, Orus Lacort, Roman and Vidal Bonafont, Guifre (2008) Ground State Fidelity from Tensor Network Representations. Physical Review Letters, 100 8: 080601-1-080601-4. doi:10.1103/PhysRevLett.100.080601

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Author Zhou, Huan-Qiang
Orus Lacort, Roman
Vidal Bonafont, Guifre
Title Ground State Fidelity from Tensor Network Representations
Journal name Physical Review Letters   Check publisher's open access policy
ISSN 0031-9007
Publication date 2008-02-28
Sub-type Article (original research)
DOI 10.1103/PhysRevLett.100.080601
Open Access Status File (Publisher version)
Volume 100
Issue 8
Start page 080601-1
End page 080601-4
Total pages 4
Editor G. Basbas
J. Sandweiss
R. B. Schuhmann
S. G. Brown
Place of publication United States
Publisher American Physical Society
Collection year 2009
Language eng
Subject C1
970102 Expanding Knowledge in the Physical Sciences
020603 Quantum Information, Computation and Communication
Abstract For any D-dimensional quantum lattice system, the fidelity between two ground state many-body wave functions is mapped onto the partition function of a D-dimensional classical statistical vertex lattice model with the same lattice geometry. The fidelity per lattice site, analogous to the free energy per site, is well defined in the thermodynamic limit and can be used to characterize the phase diagram of the model. We explain how to compute the fidelity per site in the context of tensor network algorithms, and demonstrate the approach by analyzing the two-dimensional quantum Ising model with transverse and parallel magnetic fields
Q-Index Code C1
Q-Index Status Confirmed Code

Document type: Journal Article
Sub-type: Article (original research)
Collections: 2009 Higher Education Research Data Collection
School of Mathematics and Physics
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Citation counts: TR Web of Science Citation Count  Cited 102 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 102 times in Scopus Article | Citations
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Created: Wed, 11 Mar 2009, 14:55:32 EST by Jo Hughes on behalf of School of Mathematics & Physics