2 citations · 2 across the 3 of their papers we have counts for
6 papers
Proof of the absence of local conserved quantities in the Holstein model
Fuga Ishii, Mizuki Yamaguchi
Absence of local conserved quantities, or \textit{nonintegrability}, is often assumed when discussing various phenomena in quantum many-body systems, such as thermalization and tra…
Violating the All-or-Nothing Picture of Local Charges in Non-Hermitian Bosonic Chains
Mizuki Yamaguchi, 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…
Absence of nontrivial local conserved quantities in the spin-1 bilinear-biquadratic chain and its anisotropic extensions
Akihiro Hokkyo, Mizuki Yamaguchi, 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…
Dichotomy theorem separating complete integrability and non-integrability of isotropic spin chains
Naoto Shiraishi, Mizuki Yamaguchi
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 Yamaguchi, 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 Yamaguchi, 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…