One-excitation spin dynamics in homogeneous closed chain governed by XX-Hamiltonian

Abstract

We analytically investigate the one-excitation spin dynamics in a homogeneous closed spin-1/2 chain via diagonalization of the one-excitation block of the XX-Hamiltonian, which allows to derive the analytical expressions for probability amplitudes describing state transfers between any two spins of a chain. We analytically investigate the $M$-neighbor approximation ($M\ge 1$) of spin dynamics with arbitrary initial state and analyze its accuracy using special integral characteristics defined in terms of the above probability amplitudes. We find $M$ providing the required accuracy of evolution approximation for chains of different lengths.

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Cited by in corpus (1)

• Exact momentum-space analysis of small spin-1/2 $J_1$-$J_2$ rings