16 citations · 37 across the 10 of their papers we have counts for
10 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…
Complete classification of integrability and non-integrability of S=1/2 spin chains with symmetric next-nearest-neighbor interaction
Naoto Shiraishi
We study S=1/2 quantum spin chains with shift-invariant and inversion-symmetric next-nearest-neighbor interaction, also known as zigzag spin chains. We completely classify the inte…
The XY and XYZ models on the two or higher dimensional hypercubic lattice do not possess nontrivial local conserved quantities
Naoto Shiraishi, Hal Tasaki
We study the quantum spin system on the -dimensional hypercubic lattice with with uniform nearest-neighbor interaction of the XY or XYZ type and arbitrar…
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…
Complete ergodicity in one-dimensional reversible cellular automata
Naoto Shiraishi, Shinji Takesue
Exactly ergodicity in boundary-driven semi-infinite cellular automata (CA) are investigated. We establish all the ergodic rules in CA with 3, 4, and 5 states. We analytically prove…
Absence of local conserved quantity in the Heisenberg model with next-nearest-neighbor interaction
Naoto Shiraishi
We rigorously prove that the Heisenberg chain with next-nearest-neighbor interaction, which is anticipated to be non-integrable, is indeed non-integrable in the sense that this sys…
Nature abhors a vacuum: A simple rigorous example of thermalization in an isolated macroscopic quantum system
Naoto Shiraishi, Hal Tasaki
We show, without relying on any unproven assumptions, that a low-density free fermion chain exhibits thermalization in the following (restricted) sense. We choose the initial state…