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

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.

8 pages, 1 figure (accepted to Europhys. Lett.)

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