Thermodynamic length in open quantum systems
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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.
2011 ◽
Vol 44
(46)
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pp. 462001
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1995 ◽
Vol 98
(1)
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pp. 139-145
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2000 ◽
Vol 265
(5-6)
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pp. 331-336
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2011 ◽
Vol 09
(07n08)
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pp. 1617-1634
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2019 ◽
Vol 227
(15-16)
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pp. 1849-1867
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