Journal
QUANTUM
Volume 3, Issue -, Pages -Publisher
VEREIN FORDERUNG OPEN ACCESS PUBLIZIERENS QUANTENWISSENSCHAF
DOI: 10.22331/q-2019-10-24-197
Keywords
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Funding
- Alexander von Humboldt Foundation
- European Union [713729]
- Spanish MINECO [QIBEQI FIS2016-80773-P, Severo Ochoa SEV-2015-0522]
- Fundacio Cellex
- Generalitat de Catalunya [SGR 1381]
- National Science Foundation [NSF PHY-1748958]
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The dissipation generated during a quasistatic thermodynamic process can be characterised by introducing a metric on the space of Gibbs states, in such a way that minimally-dissipating protocols correspond to geodesic trajectories. 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.
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