most citedAbsence of nontrivial local conserved quantities in the spin-1 bilinear-biquadratic chain and its anisotropic extensions

2 citations · 2 across the 1 of their papers we have counts for

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5 papers

cond-mat.stat-mech20252 cited

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…

cond-mat.stat-mech2025

Proof of absence of local conserved quantities in two- and higher-dimensional quantum Ising models

Yuuya Chiba

We prove that the Ising models with transverse and longitudinal fields on the hypercubic lattices with dimensions higher than one have no local conserved quantities other than the…

cond-mat.stat-mech2024

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…

cond-mat.stat-mech2024

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…

cond-mat.stat-mech2024

Exact Thermal Eigenstates of Nonintegrable Spin Chains at Infinite Temperature

Yuuya Chiba, Yasushi Yoneta

The eigenstate thermalization hypothesis (ETH) plays a major role in explaining thermalization of isolated quantum many-body systems. However, there has been no proof of the ETH in…