Thermodynamic length in open quantum systems
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 system...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2019-10-01
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| Series: | Quantum |
| Online Access: | https://quantum-journal.org/papers/q-2019-10-24-197/pdf/ |
| _version_ | 1811334539840061440 |
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| author | Matteo Scandi Martí Perarnau-Llobet |
| author_facet | Matteo Scandi Martí Perarnau-Llobet |
| author_sort | Matteo Scandi |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-13T17:09:28Z |
| format | Article |
| id | doaj.art-f989190ecb33459b89c008b10d1ce983 |
| institution | Directory Open Access Journal |
| issn | 2521-327X |
| language | English |
| last_indexed | 2024-04-13T17:09:28Z |
| publishDate | 2019-10-01 |
| publisher | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
| record_format | Article |
| series | Quantum |
| spelling | doaj.art-f989190ecb33459b89c008b10d1ce9832022-12-22T02:38:20ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2019-10-01319710.22331/q-2019-10-24-19710.22331/q-2019-10-24-197Thermodynamic length in open quantum systemsMatteo ScandiMartí Perarnau-LlobetThe 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.https://quantum-journal.org/papers/q-2019-10-24-197/pdf/ |
| spellingShingle | Matteo Scandi Martí Perarnau-Llobet Thermodynamic length in open quantum systems Quantum |
| title | Thermodynamic length in open quantum systems |
| title_full | Thermodynamic length in open quantum systems |
| title_fullStr | Thermodynamic length in open quantum systems |
| title_full_unstemmed | Thermodynamic length in open quantum systems |
| title_short | Thermodynamic length in open quantum systems |
| title_sort | thermodynamic length in open quantum systems |
| url | https://quantum-journal.org/papers/q-2019-10-24-197/pdf/ |
| work_keys_str_mv | AT matteoscandi thermodynamiclengthinopenquantumsystems AT martiperarnaullobet thermodynamiclengthinopenquantumsystems |