Time Evolution of the Neel State

Details Time Evolution of the Neel State Time Evolution of the Neel State

2007-01-04

arxiv.org/abs/cond-mat/0701067v2

Physics

Condensed Matter

Strongly Correlated Electrons

10 pages, 5 figures. Submitted to IJQC. Typos corrected. Some results added

Scientific paper

A quasionedimentional spin chain (s=1/2) is considered as a lattice consisting of two sublattices. The attention is paid to the states which are pure spin states of the whole lattice and both sublattices, the value of the sublattices' spins being maximum. It is shown that the Neel state can be considered as a superposition of such states. The exact equation for this superposition coefficients is developed. The possibility of the Neel state to be the eigenstate of a Hamiltonian is discussed. Several model Hamiltonians are examined, the well known ones and few novel Hamiltonians being considered. The time evolution of the Neel state in different models is studied with the help of Fock-Krylov method.

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