{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,25]],"date-time":"2026-06-25T00:05:40Z","timestamp":1782345940752,"version":"3.54.5"},"reference-count":39,"publisher":"Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften","license":[{"start":{"date-parts":[[2023,4,6]],"date-time":"2023-04-06T00:00:00Z","timestamp":1680739200000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Department of Energy BES Quantum Information Science Program","award":["DE-SC002015"],"award-info":[{"award-number":["DE-SC002015"]}]},{"name":"ARO","award":["W911NF-1910016"],"award-info":[{"award-number":["W911NF-1910016"]}]},{"name":"Simons Foundation through a Simons Investigator award","award":["669487"],"award-info":[{"award-number":["669487"]}]}],"content-domain":{"domain":["quantum-journal.org"],"crossmark-restriction":false},"short-container-title":["Quantum"],"abstract":"<jats:p>Driven quantum systems subject to non-Markovian noise are typically difficult to model even if the noise is classical. We present a systematic method based on generalized cumulant expansions for deriving a time-local master equation for such systems. This master equation has an intuitive form that directly parallels a standard Lindblad equation, but contains several surprising features: the combination of driving and non-Markovianity results in effective time-dependent dephasing rates that can be negative, and the noise can generate Hamiltonian renormalizations even though it is classical. We analyze in detail the highly relevant case of a Rabi-driven qubit subject to various kinds of non-Markovian noise including <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mml:mn>1<\/mml:mn><mml:mrow class=\"MJX-TeXAtom-ORD\"><mml:mo>\/<\/mml:mo><\/mml:mrow><mml:mi>f<\/mml:mi><\/mml:math> fluctuations, finding an excellent agreement between our master equation and numerically-exact simulations over relevant timescales. The approach outlined here is more accurate than commonly employed phenomenological master equations which ignore the interplay between driving and noise.<\/jats:p>","DOI":"10.22331\/q-2023-04-06-972","type":"journal-article","created":{"date-parts":[[2023,4,6]],"date-time":"2023-04-06T13:35:00Z","timestamp":1680788100000},"page":"972","update-policy":"https:\/\/doi.org\/10.22331\/q-crossmark-policy-page","source":"Crossref","is-referenced-by-count":38,"title":["Simple master equations for describing driven systems subject to classical non-Markovian noise"],"prefix":"10.22331","volume":"7","author":[{"given":"Peter","family":"Groszkowski","sequence":"first","affiliation":[{"name":"Pritzker School of Molecular Engineering, University of Chicago, Chicago, IL, USA"},{"name":"National Center for Computational Sciences, Oak Ridge National Laboratory, TN 37831, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Alireza","family":"Seif","sequence":"additional","affiliation":[{"name":"Pritzker School of Molecular Engineering, University of Chicago, Chicago, IL, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jens","family":"Koch","sequence":"additional","affiliation":[{"name":"Department of Physics and Astronomy, Northwestern University, Evanston, IL 60208, USA"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"A. 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