{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,14]],"date-time":"2026-05-14T02:35:26Z","timestamp":1778726126749,"version":"3.51.4"},"reference-count":63,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2025,2,6]],"date-time":"2025-02-06T00:00:00Z","timestamp":1738800000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural science Foundation of China","doi-asserted-by":"publisher","award":["12274184"],"award-info":[{"award-number":["12274184"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural science Foundation of China","doi-asserted-by":"publisher","award":["12404105"],"award-info":[{"award-number":["12404105"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Entropy"],"abstract":"<jats:p>We study the relaxation dynamics near the critical points of the Yang\u2013Lee edge singularities (YLESs) in the quantum Ising chain in an imaginary longitudinal field with a polarized initial state. We find that scaling behaviors are manifested in the relaxation process after a non-universal transient time. We show that for the paramagnetic Hamiltonian, the magnetization oscillates periodically with the period being inversely proportional to the gap between the lowest energy level; for the ferromagnetic Hamiltonian, the magnetization decays to a saturated value; while for the critical Hamiltonian, the magnetization increases linearly. A scaling theory is developed to describe these scaling properties. In this theory, we show that for a small- and medium-sized system, the scaling behavior is described by the (0+1)-dimensional YLES.<\/jats:p>","DOI":"10.3390\/e27020170","type":"journal-article","created":{"date-parts":[[2025,2,6]],"date-time":"2025-02-06T04:47:31Z","timestamp":1738817251000},"page":"170","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Critical Relaxation in the Quantum Yang\u2013Lee Edge Singularity"],"prefix":"10.3390","volume":"27","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4054-0194","authenticated-orcid":false,"given":"Yue-Mei","family":"Sun","sequence":"first","affiliation":[{"name":"The School of Mathematics and Physics, Jiangsu University of Technology, Changzhou 213001, China"},{"name":"The Jiangsu Key Laboratory of Clean Energy Storage and Conversion, Jiangsu University of Technology, Changzhou 213001, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xinyu","family":"Wang","sequence":"additional","affiliation":[{"name":"The School of Mathematics and Physics, Jiangsu University of Technology, Changzhou 213001, China"},{"name":"The Jiangsu Key Laboratory of Clean Energy Storage and Conversion, Jiangsu University of Technology, Changzhou 213001, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4483-689X","authenticated-orcid":false,"given":"Liang-Jun","family":"Zhai","sequence":"additional","affiliation":[{"name":"The School of Mathematics and Physics, Jiangsu University of Technology, Changzhou 213001, China"},{"name":"The Jiangsu Key Laboratory of Clean Energy Storage and Conversion, Jiangsu University of Technology, Changzhou 213001, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2025,2,6]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"404","DOI":"10.1103\/PhysRev.87.404","article-title":"Statistical Theory of Equations of State and Phase Transitions I. 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