Verification of the quantum nonequilibrium work relation in the presence of decoherence
Although nonequilibrium work and fluctuation relations have been studied in detail within classical statistical physics, extending these results to open quantum systems has proven to be conceptually difficult. For systems that undergo decoherence but not dissipation, we argue that it is natural to d...
| Main Authors: | , , , , , , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2018-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/aa9cd6 |
| _version_ | 1797750661304025088 |
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| author | Andrew Smith Yao Lu Shuoming An Xiang Zhang Jing-Ning Zhang Zongping Gong H T Quan Christopher Jarzynski Kihwan Kim |
| author_facet | Andrew Smith Yao Lu Shuoming An Xiang Zhang Jing-Ning Zhang Zongping Gong H T Quan Christopher Jarzynski Kihwan Kim |
| author_sort | Andrew Smith |
| collection | DOAJ |
| description | Although nonequilibrium work and fluctuation relations have been studied in detail within classical statistical physics, extending these results to open quantum systems has proven to be conceptually difficult. For systems that undergo decoherence but not dissipation, we argue that it is natural to define quantum work exactly as for isolated quantum systems, using the two-point measurement protocol. Complementing previous theoretical analysis using quantum channels, we show that the nonequilibrium work relation remains valid in this situation, and we test this assertion experimentally using a system engineered from a trapped ion, adding external noise to produce the effects of decoherence. Our experimental results reveal the work relation's validity over a variety of driving speeds, decoherence rates, and effective temperatures and represent the first confirmation of the work relation for evolution described by a non-unitary master equation. |
| first_indexed | 2024-03-12T16:37:04Z |
| format | Article |
| id | doaj.art-01a716ef48984ff18b8fb74bd1684f8b |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:37:04Z |
| publishDate | 2018-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-01a716ef48984ff18b8fb74bd1684f8b2023-08-08T14:49:31ZengIOP PublishingNew Journal of Physics1367-26302018-01-0120101300810.1088/1367-2630/aa9cd6Verification of the quantum nonequilibrium work relation in the presence of decoherenceAndrew Smith0Yao Lu1Shuoming An2Xiang Zhang3Jing-Ning Zhang4Zongping Gong5H T Quan6Christopher Jarzynski7https://orcid.org/0000-0002-3464-2920Kihwan Kim8https://orcid.org/0000-0003-0257-1707Department of Physics, University of Maryland , College Park, MD 20742, United States of AmericaCenter for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University , Beijing 100084, People’s Republic of ChinaCenter for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University , Beijing 100084, People’s Republic of ChinaCenter for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University , Beijing 100084, People’s Republic of ChinaCenter for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University , Beijing 100084, People’s Republic of ChinaSchool of Physics, Peking University , Beijing 100871, People’s Republic of ChinaSchool of Physics, Peking University , Beijing 100871, People’s Republic of China; Collaborative Innovation Center of Quantum Matter, Beijing 100871, People’s Republic of ChinaInstitute for Physical Science and Technology, University of Maryland , College Park, MD 20742, United States of America; Department of Chemistry and Biochemistry, University of Maryland , College Park, MD 20742, United States of AmericaCenter for Quantum Information, Institute for Interdisciplinary Information Sciences, Tsinghua University , Beijing 100084, People’s Republic of ChinaAlthough nonequilibrium work and fluctuation relations have been studied in detail within classical statistical physics, extending these results to open quantum systems has proven to be conceptually difficult. For systems that undergo decoherence but not dissipation, we argue that it is natural to define quantum work exactly as for isolated quantum systems, using the two-point measurement protocol. Complementing previous theoretical analysis using quantum channels, we show that the nonequilibrium work relation remains valid in this situation, and we test this assertion experimentally using a system engineered from a trapped ion, adding external noise to produce the effects of decoherence. Our experimental results reveal the work relation's validity over a variety of driving speeds, decoherence rates, and effective temperatures and represent the first confirmation of the work relation for evolution described by a non-unitary master equation.https://doi.org/10.1088/1367-2630/aa9cd6quantum informationnonequilibrium workdecoherenceion trapquantum Jarzynski equalityshortcuts to adiabaticity |
| spellingShingle | Andrew Smith Yao Lu Shuoming An Xiang Zhang Jing-Ning Zhang Zongping Gong H T Quan Christopher Jarzynski Kihwan Kim Verification of the quantum nonequilibrium work relation in the presence of decoherence New Journal of Physics quantum information nonequilibrium work decoherence ion trap quantum Jarzynski equality shortcuts to adiabaticity |
| title | Verification of the quantum nonequilibrium work relation in the presence of decoherence |
| title_full | Verification of the quantum nonequilibrium work relation in the presence of decoherence |
| title_fullStr | Verification of the quantum nonequilibrium work relation in the presence of decoherence |
| title_full_unstemmed | Verification of the quantum nonequilibrium work relation in the presence of decoherence |
| title_short | Verification of the quantum nonequilibrium work relation in the presence of decoherence |
| title_sort | verification of the quantum nonequilibrium work relation in the presence of decoherence |
| topic | quantum information nonequilibrium work decoherence ion trap quantum Jarzynski equality shortcuts to adiabaticity |
| url | https://doi.org/10.1088/1367-2630/aa9cd6 |
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