Condensed Matter > Statistical Mechanics
[Submitted on 7 Mar 2018 (v1), last revised 11 Jan 2024 (this version, v6)]
Title:Proof of the absence of local conserved quantities in the XYZ chain with a magnetic field
View PDF HTML (experimental)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.
Submission history
From: Naoto Shiraishi [view email][v1] Wed, 7 Mar 2018 13:23:19 UTC (13 KB)
[v2] Thu, 8 Mar 2018 08:49:34 UTC (13 KB)
[v3] Mon, 18 Jun 2018 13:07:18 UTC (16 KB)
[v4] Thu, 10 Oct 2019 15:00:50 UTC (323 KB)
[v5] Fri, 8 Nov 2019 07:35:38 UTC (323 KB)
[v6] Thu, 11 Jan 2024 12:19:36 UTC (323 KB)
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