An introduction to the spectrum, symmetries, and dynamics of spin-1/2 Heisenberg chains

Quantum spin chains are prototype quantum many-body systems that are employed in the description of various complex physical phenomena. We provide an introduction to this subject by focusing on the time evolution of a Heisenberg spin-1/2 chain and interpreting the results based on the analysis of th...

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Bibliographic Details
Published in:American journal of physics 2013-06, Vol.81 (6), p.450-457
Main Authors: Joel, Kira, Kollmar, Davida, Santos, Lea F.
Format: Article
Language:English
Subjects:
Codes
Eigenvalues
Quantum physics
Spectrum analysis
Symmetry
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Summary:Quantum spin chains are prototype quantum many-body systems that are employed in the description of various complex physical phenomena. We provide an introduction to this subject by focusing on the time evolution of a Heisenberg spin-1/2 chain and interpreting the results based on the analysis of the eigenvalues, eigenstates, and symmetries of the system. We make available online all computer codes used to obtain our data.
ISSN:0002-9505
1943-2909
DOI:10.1119/1.4798343