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Its saturation requires a reversible isothermal process, and hence infinite time. We develop a finite-time version of Landauer&amp;apos;s principle for a bit encoded in the occupation of a single fermionic mode, which can be strongly coupled to a reservoir. By solving the exact non-equilibrium dynamics, we optimize erasure processes (taking both the fermion&amp;apos;s energy and system-bath coupling as control parameters) in the slow driving regime through a geometric approach to thermodynamics. We find analytic expressions for the thermodynamic metric and geodesic equations, which can be solved numerically. Their solution yields optimal processes that allow us to characterize a finite-time correction to Landauer&amp;apos;s bound, fully taking into account non-markovian and strong coupling effects.<\/jats:p>","DOI":"10.22331\/q-2023-11-03-1161","type":"journal-article","created":{"date-parts":[[2023,11,3]],"date-time":"2023-11-03T13:07:57Z","timestamp":1699016877000},"page":"1161","update-policy":"https:\/\/doi.org\/10.22331\/q-crossmark-policy-page","source":"Crossref","is-referenced-by-count":22,"title":["Finite-time Landauer principle beyond weak coupling"],"prefix":"10.22331","volume":"7","author":[{"given":"Alberto","family":"Rolandi","sequence":"first","affiliation":[{"name":"D\u00e9partement de Physique Appliqu\u00e9e, Universit\u00e9 de Gen\u00e8ve, 1211 Gen\u00e8ve, Switzerland"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Mart\u00ed","family":"Perarnau-Llobet","sequence":"additional","affiliation":[{"name":"D\u00e9partement de Physique Appliqu\u00e9e, Universit\u00e9 de Gen\u00e8ve, 1211 Gen\u00e8ve, Switzerland"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"9598","published-online":{"date-parts":[[2023,11,3]]},"reference":[{"key":"0","doi-asserted-by":"publisher","unstructured":"R. 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