A new class of completely integrable quantum spin chains
classification
solv-int
cond-mat.str-elnlin.SI
keywords
chainsclasscompletelyintegrableisingkickedspinalgebra
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A large (infinitely-dimensional) class of completely integrable (possibly non-autonomous) spin chains is discovered associated to an infinite-dimensional Lie Algebra of infinite rank. The complete set of integrals of motion is constructed explicitly, as well as their eigenstates and spectra. As an example we outline kicked Ising model: Ising chain periodically kicked with transversal magnetic field.
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