Explicit Construction of Local Conserved Quantities in the XYZ Spin-1/2 Chain

Abstract

We present a rigorous explicit expression for an extensive number of local conserved quantities in the XYZ spin-1/2 chain with general coupling constants. All the coefficients of operators in each local conserved quantity are calculated. We also confirm that our result can be applied to the case of the XXZ chain with a magnetic field in the z-axis direction.

arXiv comment24 pages, 4 figures

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• Conserved Quantities from Entanglement Hamiltonian
• Current mean values in the XYZ model
• Proof of completeness of the local conserved quantities in the one-dimensional Hubbard model
• Matrix product operator representations for the local conserved quantities of the Heisenberg chain
• Complete classification of integrability and non-integrability of S=1/2 spin chains with symmetric next-nearest-neighbor interaction
• Equilibration of Isolated Systems: investigating the role of coarse-graining on the initial state magnetization
• Absence of nontrivial local conserved quantities in the quantum compass model on the square lattice
• Dichotomy theorem separating complete integrability and non-integrability of isotropic spin chains
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• Complete Classification of Integrability and Non-integrability for Spin-1/2 Chain with Symmetric Nearest-Neighbor Interaction
• Universal TT- and TQ-relations via centrally extended q-Onsager algebra
• Proof of the absence of local conserved quantities in general spin-1/2 chains with symmetric nearest-neighbor interaction
• Absence of local conserved charges of the Fredkin spin chain and its truncated versions