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

• URL: http://arxiv.org/abs/2401.16902v1
• Date: Tue, 30 Jan 2024 11:11:49 GMT
• Title: One-excitation spin dynamics in homogeneous closed chain governed by XX-Hamiltonian
• Authors: E.B.Fel'dman, E.I.Kuznetsova, A.I.Zenchuk
• Abstract summary: 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. We find $M$ providing the required accuracy of evolution approximation for chains of different lengths.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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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