A new class of completely integrable quantum spin chains

Details A new class of completely integrable quantum spin chains A new class of completely integrable quantum spin chains

1997-11-10

arxiv.org/abs/solv-int/9711007v1

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages in RevTex

Scientific paper

10.1088/0305-4470/31/21/002

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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