Optimal limits on weak integrability breaking and protected thermal memory near qutrit exchange

arXiv:2609.28237 · physics.comp-ph, cond-mat.stat-mech, nlin.SI, quant-ph · Submitted 2026-09-23 · Read on arXiv

physics.comp-ph, cond-mat.stat-mech, nlin.SI, quant-ph

Submitted: 2026-09-23

Updated: 2026-09-23

Terminology

• Trace — 50× in this paper · explained in 2 episodes
• Calibration — 3× in this paper · explained in 7 episodes
• Degeneracy — 3× in this paper · explained in 3 episodes
• Verification — 3× in this paper · explained in 2 episodes
• Homogeneity — 2× in this paper · explained in 2 episodes
• Spectral Gap — 2× in this paper · explained in 5 episodes
• Symmetry Breaking — 2× in this paper · explained in 3 episodes
• Accuracy — 1× in this paper · explained in 1 episode
• Additivity — 1× in this paper · explained in 1 episode
• Anisotropy — 1× in this paper · explained in 3 episodes
• Conservation Laws — 1× in this paper · explained in 3 episodes
• Consistency — 1× in this paper · explained in 3 episodes
• Core — 1× in this paper · explained in 2 episodes

Sources

• Classification of three-state Hamiltonians solvable by Coordinate Bethe Ansatz
• Fifteen-vertex models with non-symmetric $R$ matrices
• The Leigh-Strassler Deformation and the Quest for Integrability
• R-matrices of three-state Hamiltonians solvable by Coordinate Bethe Ansatz
• Integrability Test for Spin Chains
• Integrability from a single conservation law in quantum spin chains
• A Simple Necessary and Sufficient Condition for Yang--Baxter Integrability
• Weak integrability breaking perturbations of integrable models
• Finite-size generators for weak integrability breaking perturbations in the Heisenberg chain
• The quantum group structure of long-range integrable deformations
• Lieb-Robinson bounds and the generation of correlations and topological quantum order
• 3-state Hamiltonians associated to solvable 33-vertex models

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