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Here, we show how to generalize this approach to open quantum systems by finding the thermodynamic metric associated to a given Lindblad master equation. The obtained metric can be understood as a perturbation over the background geometry of equilibrium Gibbs states, which is induced by the Kubo-Mori-Bogoliubov (KMB) inner product. We illustrate this construction on two paradigmatic examples: an Ising chain and a two-level system interacting with a bosonic bath with different spectral densities.<\/jats:p>","DOI":"10.22331\/q-2019-10-24-197","type":"journal-article","created":{"date-parts":[[2019,10,24]],"date-time":"2019-10-24T08:38:03Z","timestamp":1571906283000},"page":"197","source":"Crossref","is-referenced-by-count":104,"title":["Thermodynamic length in open quantum systems"],"prefix":"10.22331","volume":"3","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6395-3971","authenticated-orcid":false,"given":"Matteo","family":"Scandi","sequence":"first","affiliation":[{"name":"Max-Planck-Institut f\u00fcr Quantenoptik, D-85748 Garching, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-4658-0632","authenticated-orcid":false,"given":"Mart\u00ed","family":"Perarnau-Llobet","sequence":"additional","affiliation":[{"name":"Max-Planck-Institut f\u00fcr Quantenoptik, D-85748 Garching, Germany"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"9598","published-online":{"date-parts":[[2019,10,24]]},"reference":[{"key":"0","doi-asserted-by":"publisher","unstructured":"F. 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