Finite-time Landauer principle beyond weak coupling
Landauer's principle gives a fundamental limit to the thermodynamic cost of erasing information. Its saturation requires a reversible isothermal process, and hence infinite time. We develop a finite-time version of Landauer's principle for a bit encoded in the occupation of a single fermio...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2023-11-01
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| Series: | Quantum |
| Online Access: | https://quantum-journal.org/papers/q-2023-11-03-1161/pdf/ |
| _version_ | 1797639383351820288 |
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| author | Alberto Rolandi Martí Perarnau-Llobet |
| author_facet | Alberto Rolandi Martí Perarnau-Llobet |
| author_sort | Alberto Rolandi |
| collection | DOAJ |
| description | Landauer's principle gives a fundamental limit to the thermodynamic cost of erasing information. Its saturation requires a reversible isothermal process, and hence infinite time. We develop a finite-time version of Landauer'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'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's bound, fully taking into account non-markovian and strong coupling effects. |
| first_indexed | 2024-03-11T13:16:04Z |
| format | Article |
| id | doaj.art-d9732433d839475fbe706fbfca523933 |
| institution | Directory Open Access Journal |
| issn | 2521-327X |
| language | English |
| last_indexed | 2024-03-11T13:16:04Z |
| publishDate | 2023-11-01 |
| publisher | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
| record_format | Article |
| series | Quantum |
| spelling | doaj.art-d9732433d839475fbe706fbfca5239332023-11-03T13:07:05ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2023-11-017116110.22331/q-2023-11-03-116110.22331/q-2023-11-03-1161Finite-time Landauer principle beyond weak couplingAlberto RolandiMartí Perarnau-LlobetLandauer's principle gives a fundamental limit to the thermodynamic cost of erasing information. Its saturation requires a reversible isothermal process, and hence infinite time. We develop a finite-time version of Landauer'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'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's bound, fully taking into account non-markovian and strong coupling effects.https://quantum-journal.org/papers/q-2023-11-03-1161/pdf/ |
| spellingShingle | Alberto Rolandi Martí Perarnau-Llobet Finite-time Landauer principle beyond weak coupling Quantum |
| title | Finite-time Landauer principle beyond weak coupling |
| title_full | Finite-time Landauer principle beyond weak coupling |
| title_fullStr | Finite-time Landauer principle beyond weak coupling |
| title_full_unstemmed | Finite-time Landauer principle beyond weak coupling |
| title_short | Finite-time Landauer principle beyond weak coupling |
| title_sort | finite time landauer principle beyond weak coupling |
| url | https://quantum-journal.org/papers/q-2023-11-03-1161/pdf/ |
| work_keys_str_mv | AT albertorolandi finitetimelandauerprinciplebeyondweakcoupling AT martiperarnaullobet finitetimelandauerprinciplebeyondweakcoupling |