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2012 | 121 | 5-6 | 1111-1114
Article title

Galois Properties of the Eigenproblem of the Hexagonal Magnetic Heisenberg Ring

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Languages of publication
EN
Abstracts
EN
We analyse the number field-theoretic properties of solutions of the eigenproblem of the Heisenberg Hamiltonian for the magnetic hexagon with the single-node spin 1/2 and isotropic exchange interactions. It follows that eigenenergies and eigenstates are expressible within an extension of the prime field ℚ of rationals of degree 2^3 and 2^4, respectively. In quantum information setting, each real extension of rank 2 represents an arithmetic qubit. We demonstrate in detail some actions of the Galois group on the eigenproblem.
Keywords
Year
Volume
121
Issue
5-6
Pages
1111-1114
Physical description
Dates
published
2012-05
References
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Document Type
Publication order reference
YADDA identifier
bwmeta1.element.bwnjournal-article-appv121n5-6p36kz
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