Classification of open-boundary integrable Yang-Baxter quantum circuits with arbitrary geometries via staggered inhomogeneities, a conjecture on time-periodic integrability, and introduction of ρ-inhomogeneities enabling minimum depth four.
Classifying integrable spin-1/2 chains with nearest neighbour interactions
3 Pith papers cite this work. Polarity classification is still indexing.
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Long-range deformations of homogeneous Yang-Baxter integrable spin chains are generated by a twist of the quantum group that produces a non-associative algebra whose Drinfeld associator encodes the long-range terms up to first order.
A modified boost-operator method yields new integrable anyonic chains (including su(2)_k spin-3/2, TY(Z_n), Fib×Fib, Fib×Ising) and a criterion for when Temperley-Lieb algebras appear.
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Open-boundary integrable quantum circuits with different geometries
Classification of open-boundary integrable Yang-Baxter quantum circuits with arbitrary geometries via staggered inhomogeneities, a conjecture on time-periodic integrability, and introduction of ρ-inhomogeneities enabling minimum depth four.
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The quantum group structure of long-range integrable deformations
Long-range deformations of homogeneous Yang-Baxter integrable spin chains are generated by a twist of the quantum group that produces a non-associative algebra whose Drinfeld associator encodes the long-range terms up to first order.
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Constrained integrability and anyonic chains
A modified boost-operator method yields new integrable anyonic chains (including su(2)_k spin-3/2, TY(Z_n), Fib×Fib, Fib×Ising) and a criterion for when Temperley-Lieb algebras appear.