6 papers
A Simple Necessary and Sufficient Condition for Yang--Baxter Integrability
Mizuki Sanatani, Naoto Shiraishi, Fuga Ishii
Quantum integrability is a cornerstone of the exact theory of interacting quantum spin chains. In its standard formulation, however, one starts from R-matrices satisfying the Yang-…
Violating the All-or-Nothing Picture of Local Charges in Non-Hermitian Bosonic Chains
Mizuki Sanatani, Naoto Shiraishi
We present explicit counterexamples to a widespread empirical expectation that local commuting charges display all-or-nothing behavior. In the class of bosonic chains with symmetri…
Dichotomy theorem separating complete integrability and non-integrability of isotropic spin chains
Naoto Shiraishi, Mizuki Sanatani
We investigate the integrability and non-integrability of isotropic spin chains with nearest-neighbor interaction with general spin in terms of the presence or absence of local…
Proof of the absence of local conserved quantities in general spin-1/2 chains with symmetric nearest-neighbor interaction
Mizuki Sanatani, Yuuya Chiba, Naoto Shiraishi
We provide a rigorous proof of the absence of nontrivial local conserved quantities in all spin-1/2 chains with symmetric nearest-neighbor interaction, except for known integrable…
Complete Classification of Integrability and Non-integrability for Spin-1/2 Chain with Symmetric Nearest-Neighbor Interaction
Mizuki Sanatani, Yuuya Chiba, Naoto Shiraishi
General spin-1/2 chains with symmetric nearest-neighbor interaction are studied. We rigorously prove that all spin models in this class, except for known integrable systems, are no…
Absence of nontrivial local conserved quantities in the spin-1 bilinear-biquadratic chain and its anisotropic extensions
Akihiro Hokkyo, Mizuki Sanatani, Yuuya Chiba
We provide a complete classification of the integrability and nonintegrability of the spin-1 bilinear-biquadratic model with a uniaxial anisotropic field, which includes the Heisen…