M-neighbor approximation in one-qubit state transfer along zigzag and alternating spin-1/2 chains
| Autor: | Fel'dman, E. B., Zenchuk, A. I. |
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| Rok vydání: | 2023 |
| Předmět: | |
| Zdroj: | Phys. Scr. v.97(9) (2022) 095101 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.1088/1402-4896/ac8456 |
| Popis: | We consider the $M$-neighbor approximation in the problem of one-qubit pure state transfer along the $N$-node zigzag and alternating spin chains governed by the $XXZ$-Hamiltonian with the dipole-dipole interaction. We show that always $M>1$, i.e., the nearest neighbor approximation is not applicable to such interaction. Moreover, only all-node interaction ($M=N-1$) properly describes the dynamics in the alternating chain. We reveal the region in the parameter space characterizing the chain geometry and orientation which provide the high-probability state-transfer. The optimal state-transfer probability and appropriate time instant for the zigzag and alternating chains are compared. Comment: 25 pages 11 figures |
| Databáze: | arXiv |
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