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

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

URL: http://arxiv.org/abs/1803.02637v6
Date: Thu, 11 Jan 2024 12:19:36 GMT
Title: Proof of the absence of local conserved quantities in the XYZ chain with a magnetic field
Authors: Naoto Shiraishi
Abstract summary: We rigorously prove that the spin-1/2 XYZ chain with a magnetic field has no local conserved quantity. We establish that the absence of local conserved quantity in concrete models is provable in a rigorous form.
Score: 0.0
License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
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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