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

Understand

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.