2000 character limit reached
Proof of the absence of local conserved quantities in the XYZ chain with a magnetic field (1803.02637v6)
Published 7 Mar 2018 in cond-mat.stat-mech, cond-mat.str-el, hep-th, math-ph, math.MP, and quant-ph
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.