17 citations · 25 across the 5 of their papers we have counts for
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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…
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…
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…