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An iterative Givens-rotation algorithm is introduced to identify a basis that reduces the thermal average of the squared off-diagonal Hamiltonian elements, and the uniqueness of the converged solution is examined by varying the rotation order. For three-site models, the method approaches the Redfield and F\u00f6rster limits in the corresponding parameter regimes and incorporates features of both limits in a mixed regime, reproducing the main qualitative characteristics of hierarchical-equations-of-motion dynamics. However, in an intermediate-coupling regime nonunique converged solutions with comparable perturbation measures yield different dynamics, indicating that the perturbation measure alone does not guarantee a reliable basis. Calculations for a standard seven-site FMO model demonstrate the numerical feasibility of the proposed approach for a biologically relevant multisite Hamiltonian. These results establish the potential utility of the method for multisite excitation-energy-transfer dynamics while identifying nonuniqueness of the optimized basis as an important practical limitation.<\/jats:p>","DOI":"10.1063\/5.0353431","type":"journal-article","created":{"date-parts":[[2026,10,13]],"date-time":"2026-10-13T14:22:52Z","timestamp":1791901372000},"update-policy":"https:\/\/doi.org\/10.1063\/aip-crossmark-policy-page","source":"Crossref","is-referenced-by-count":0,"title":["Quantum master equations for multisite exciton dynamics based on an extended perturbative approach: Redfield\u2013F\u00f6rster limits and application to the FMO complex"],"prefix":"10.1063","volume":"165","author":[{"given":"Naoto","family":"Yatsuda","sequence":"first","affiliation":[{"name":"Department of Physics, Graduate School of Science, Nagoya University , Furo-cho, Chikusa-ku, Nagoya 464-8602,","place":["Japan"]}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1014-7300","authenticated-orcid":false,"given":"Akihiro","family":"Kimura","sequence":"additional","affiliation":[{"name":"Department of Physics, Graduate School of Science, Nagoya University , Furo-cho, Chikusa-ku, Nagoya 464-8602,","place":["Japan"]}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"317","published-online":{"date-parts":[[2026,10,13]]},"reference":[{"key":"2026101310211227100_c1","doi-asserted-by":"publisher","first-page":"517","DOI":"10.1038\/374517a0","volume":"374","year":"1995","journal-title":"Nature"},{"key":"2026101310211227100_c2","doi-asserted-by":"publisher","first-page":"909","DOI":"10.1038\/35082000","volume":"411","year":"2001","journal-title":"Nature"},{"key":"2026101310211227100_c3","doi-asserted-by":"publisher","first-page":"55","DOI":"10.1038\/nature09913","volume":"473","year":"2011","journal-title":"Nature"},{"key":"2026101310211227100_c4","doi-asserted-by":"publisher","first-page":"1021","DOI":"10.1126\/science.aan5611","volume":"357","year":"2017","journal-title":"Science"},{"key":"2026101310211227100_c5","doi-asserted-by":"publisher","first-page":"2333","DOI":"10.1038\/s41467-021-22502-8","volume":"12","year":"2021","journal-title":"Nat. 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