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arXiv · 1803.02637

Proof of the absence of local conserved quantities in the XYZ chain with a magnetic field

Naoto Shiraishi
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Abstract

We rigorously prove that the spin-1/2 XYZ chain with a magnetic field has no local conserved quantity. Any nontrivial conserved quantity of this model is shown to be a sum of operators supported by contiguous sites with at least half of the entire system. We establish that the absence of local conserved quantity in concrete models is provable in a rigorous form.

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Naoto Shiraishi. 2018-03-07. Proof of the absence of local conserved quantities in the XYZ chain with a magnetic field. https://doi.org/10.1209/0295-5075/128/17002

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