Quantum Coherence, Time-Translation Symmetry, and Thermodynamics
The first law of thermodynamics imposes not just a constraint on the energy content of systems in extreme quantum regimes but also symmetry constraints related to the thermodynamic processing of quantum coherence. We show that this thermodynamic symmetry decomposes any quantum state into mode operat...
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2015-04-01
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Series: | Physical Review X |
Online Access: | http://doi.org/10.1103/PhysRevX.5.021001 |
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doaj-92416819e4e54610ab91fc783f7e45ab2020-11-25T00:40:04ZengAmerican Physical SocietyPhysical Review X2160-33082015-04-015202100110.1103/PhysRevX.5.021001Quantum Coherence, Time-Translation Symmetry, and ThermodynamicsMatteo LostaglioKamil KorzekwaDavid JenningsTerry RudolphThe first law of thermodynamics imposes not just a constraint on the energy content of systems in extreme quantum regimes but also symmetry constraints related to the thermodynamic processing of quantum coherence. We show that this thermodynamic symmetry decomposes any quantum state into mode operators that quantify the coherence present in the state. We then establish general upper and lower bounds for the evolution of quantum coherence under arbitrary thermal operations, valid for any temperature. We identify primitive coherence manipulations and show that the transfer of coherence between energy levels manifests irreversibility not captured by free energy. Moreover, the recently developed thermomajorization relations on block-diagonal quantum states are observed to be special cases of this symmetry analysis.http://doi.org/10.1103/PhysRevX.5.021001 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Matteo Lostaglio Kamil Korzekwa David Jennings Terry Rudolph |
spellingShingle |
Matteo Lostaglio Kamil Korzekwa David Jennings Terry Rudolph Quantum Coherence, Time-Translation Symmetry, and Thermodynamics Physical Review X |
author_facet |
Matteo Lostaglio Kamil Korzekwa David Jennings Terry Rudolph |
author_sort |
Matteo Lostaglio |
title |
Quantum Coherence, Time-Translation Symmetry, and Thermodynamics |
title_short |
Quantum Coherence, Time-Translation Symmetry, and Thermodynamics |
title_full |
Quantum Coherence, Time-Translation Symmetry, and Thermodynamics |
title_fullStr |
Quantum Coherence, Time-Translation Symmetry, and Thermodynamics |
title_full_unstemmed |
Quantum Coherence, Time-Translation Symmetry, and Thermodynamics |
title_sort |
quantum coherence, time-translation symmetry, and thermodynamics |
publisher |
American Physical Society |
series |
Physical Review X |
issn |
2160-3308 |
publishDate |
2015-04-01 |
description |
The first law of thermodynamics imposes not just a constraint on the energy content of systems in extreme quantum regimes but also symmetry constraints related to the thermodynamic processing of quantum coherence. We show that this thermodynamic symmetry decomposes any quantum state into mode operators that quantify the coherence present in the state. We then establish general upper and lower bounds for the evolution of quantum coherence under arbitrary thermal operations, valid for any temperature. We identify primitive coherence manipulations and show that the transfer of coherence between energy levels manifests irreversibility not captured by free energy. Moreover, the recently developed thermomajorization relations on block-diagonal quantum states are observed to be special cases of this symmetry analysis. |
url |
http://doi.org/10.1103/PhysRevX.5.021001 |
work_keys_str_mv |
AT matteolostaglio quantumcoherencetimetranslationsymmetryandthermodynamics AT kamilkorzekwa quantumcoherencetimetranslationsymmetryandthermodynamics AT davidjennings quantumcoherencetimetranslationsymmetryandthermodynamics AT terryrudolph quantumcoherencetimetranslationsymmetryandthermodynamics |
_version_ |
1716132721412014080 |