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Some Aspects of Remote State Restoring in State Transfer Governed by XXZ-Hamiltonianстатья
Статья опубликована в журнале из списка RSCI Web of Science
Статья опубликована в журнале из перечня ВАКСтатья опубликована в журнале из списка Web of Science и/или Scopus
Дата последнего поиска статьи во внешних источниках: 24 июля 2024 г.
- Авторы: Bochkin G.A., Doronin S.I., Fel’dman E.B., Kuznetsova E.I., Lazarev I.D., Pechen A.N., Zenchuk A.I.
- Журнал: Lobachevskii Journal of Mathematics
- Том: 45
- Номер: 3
- Год издания: 2024
- Издательство: Kazanskii Gosudarstvennyi Universitet/Kazan State University
- Местоположение издательства: Russian Federation
- Первая страница: 972
- Последняя страница: 991
- DOI: 10.1134/s1995080224600596
- Аннотация: We consider the remote state restoring and perfect transfer of the zero-order coherence matrix (PTZ) in a spin system governed by the XXZ-Hamiltonian conserving the excitation number. The restoring tool is represented by several nonzero Larmor frequencies in the Hamiltonian. To simplify the analysis we use two approximating models including either step-wise or pulse-type time-dependence of the Larmor frequencies. Restoring in spin chains with up to 20 nodes is studied. Studying PTZ, we consider the zigzag and rectangular configurations and optimize the transfer of the 0-order coherence matrix using geometrical parameters of the communication line as well as the special unitary transformation of the extended receiver. Overall observation is that XXZ-chains require longer time for state transfer than XX-chains, which is confirmed by the analytical study of the evolution under the nearest-neighbor approximation. We demonstrate the exponential increase of the state-transfer time with the spin chain length.
- Добавил в систему: Бочкин Георгий Алексеевич
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