{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:53:16Z","timestamp":1760241196977,"version":"build-2065373602"},"reference-count":47,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2019,12,23]],"date-time":"2019-12-23T00:00:00Z","timestamp":1577059200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>The many-body dynamics of an electron spin\u22121\/2 qubit coupled to a bath of nuclear spins by hyperfine interactions, as described by the central spin model in two kinds of external field, are studied in this paper. In a completely polarized bath, we use the state recurrence method to obtain the exact solution of the     X X Z     central spin model in a constant magnetic field and numerically analyze the influence of the disorder strength of the magnetic field on fidelity and entanglement entropy. For a constant magnetic field, the fidelity presents non-attenuating oscillations. The anisotropic parameter    \u03bb    and the magnetic field strength B significantly affect the dynamic behaviour of the central spin. Unlike the periodic oscillation in the constant magnetic field, the decoherence dynamics of the central spin act like a damping oscillation in a disordered field, where the central spin undergoes a relaxation process and eventually reaches a stable state. The relaxation time of this process is affected by the disorder strength and the anisotropic parameter, where a larger anisotropic parameter or disorder strength can speed up the relaxation process. Compared with the constant magnetic field, the disordered field can regulate the decoherence over a large range, independent of the anisotropic parameter.<\/jats:p>","DOI":"10.3390\/e22010023","type":"journal-article","created":{"date-parts":[[2019,12,24]],"date-time":"2019-12-24T05:56:15Z","timestamp":1577166975000},"page":"23","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Many-Body Dynamics and Decoherence of the XXZ Central Spin Model in External Magnetic Field"],"prefix":"10.3390","volume":"22","author":[{"given":"Xu","family":"Zhou","sequence":"first","affiliation":[{"name":"School of Physics, Northwest University, Xi\u2019an 710127, China"},{"name":"Institute of Modern Physics, Northwest University, Xi\u2019an 710127, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Qing-Kun","family":"Wan","sequence":"additional","affiliation":[{"name":"School of Physics, Northwest University, Xi\u2019an 710127, China"},{"name":"Institute of Modern Physics, Northwest University, Xi\u2019an 710127, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5258-6902","authenticated-orcid":false,"given":"Xiao-Hui","family":"Wang","sequence":"additional","affiliation":[{"name":"School of Physics, Northwest University, Xi\u2019an 710127, China"},{"name":"Shaanxi Key Laboratory for Theoretical Physics Frontiers, Xi\u2019an 710127, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2019,12,23]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"771","DOI":"10.1002\/1521-3978(200009)48:9\/11<771::AID-PROP771>3.0.CO;2-E","article-title":"The Physical Implementation of Quantum Computation","volume":"48","author":"DiVincenzo","year":"2000","journal-title":"Fortschritte der Physik"},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Nielsen, M.A., and Chuang, I.L. 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