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Nearest-neighbor approximation in one-excitation state evolution along spin-1/2 chain governed by XX-Hamiltonianстатья
- Авторы: Feldman E.B., Zenchuk A.I.
- Журнал: Physics Letters, Section A: General, Atomic and Solid State Physics
- Том: 457
- Год издания: 2023
- Издательство: Elsevier BV
- Местоположение издательства: Netherlands
- Номер статьи: 128572
- DOI: 10.1016/j.physleta.2022.128572
- Аннотация: The approximation of nearest neighbor interaction (NNI) is widely used in short-time spin dynamics with dipole-dipole interactions (DDI) when the intensity of spin-spin interaction is 1/r^3, where r is a distance between those spins. However, NNI can not approximate the long time evolution in such systems. We consider the system with the intensity of the spin-spin interaction 1/r^\alpha, \alpha>=3 , and find the low boundary \alpha_c of applicability of the NNI to the evolution of an arbitrary one-excitation initial quantum state in the homogeneous spin chain governed by the XX-Hamiltonian. We obtain the logarithmic dependence of \alpha_c on the chain length.
- Добавил в систему: Зенчук Александр Иванович