Work estimation and work fluctuations in the presence of non-ideal measurements
From the perspective of quantum thermodynamics, realisable measurements cost work and result in measurement devices that are not perfectly correlated with the measured systems. We investigate the consequences for the estimation of work in non-equilibrium processes and for the fundamental structure o...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2019-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ab4d9d |
| _version_ | 1827873115166736384 |
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| author | Tiago Debarba Gonzalo Manzano Yelena Guryanova Marcus Huber Nicolai Friis |
| author_facet | Tiago Debarba Gonzalo Manzano Yelena Guryanova Marcus Huber Nicolai Friis |
| author_sort | Tiago Debarba |
| collection | DOAJ |
| description | From the perspective of quantum thermodynamics, realisable measurements cost work and result in measurement devices that are not perfectly correlated with the measured systems. We investigate the consequences for the estimation of work in non-equilibrium processes and for the fundamental structure of the work fluctuations when one assumes that the measurements are non-ideal. We show that obtaining work estimates and their statistical moments at finite work cost implies an imperfection of the estimates themselves: more accurate estimates incur higher costs. Our results provide a qualitative relation between the cost of obtaining information about work and the trustworthiness of this information. Moreover, we show that Jarzynski’s equality can be maintained exactly at the expense of a correction that depends only on the system’s energy scale, while the more general fluctuation relation due to Crooks no longer holds when the cost of the work estimation procedure is finite. We show that precise links between dissipation and irreversibility can be extended to the non-ideal situation. |
| first_indexed | 2024-03-12T16:32:59Z |
| format | Article |
| id | doaj.art-e7dca99cb1954e8d9928849847e51a08 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:32:59Z |
| publishDate | 2019-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-e7dca99cb1954e8d9928849847e51a082023-08-08T15:24:35ZengIOP PublishingNew Journal of Physics1367-26302019-01-01211111300210.1088/1367-2630/ab4d9dWork estimation and work fluctuations in the presence of non-ideal measurementsTiago Debarba0Gonzalo Manzano1https://orcid.org/0000-0003-1359-6344Yelena Guryanova2Marcus Huber3https://orcid.org/0000-0003-1985-4623Nicolai Friis4https://orcid.org/0000-0003-1950-8640Departamento Acadêmico de Ciências da Natureza, Universidade Tecnológica Federal do Paraná (UTFPR) , Campus Cornélio Procópio, Avenida Alberto Carazzai 1640, Cornélio Procópio, Paraná 86300-000, Brazil; Institute for Quantum Optics and Quantum Information—IQOQI Vienna, Austrian Academy of Sciences, Boltzmanngasse 3, A-1090 Vienna, AustriaScuola Normale Superiore, Piazza dei Cavalieri 7, I-56126, Pisa, Italy; International Center for Theoretical Physics, Strada Costiera 11, Trieste I-34151, ItalyInstitute for Quantum Optics and Quantum Information—IQOQI Vienna, Austrian Academy of Sciences, Boltzmanngasse 3, A-1090 Vienna, AustriaInstitute for Quantum Optics and Quantum Information—IQOQI Vienna, Austrian Academy of Sciences, Boltzmanngasse 3, A-1090 Vienna, AustriaInstitute for Quantum Optics and Quantum Information—IQOQI Vienna, Austrian Academy of Sciences, Boltzmanngasse 3, A-1090 Vienna, AustriaFrom the perspective of quantum thermodynamics, realisable measurements cost work and result in measurement devices that are not perfectly correlated with the measured systems. We investigate the consequences for the estimation of work in non-equilibrium processes and for the fundamental structure of the work fluctuations when one assumes that the measurements are non-ideal. We show that obtaining work estimates and their statistical moments at finite work cost implies an imperfection of the estimates themselves: more accurate estimates incur higher costs. Our results provide a qualitative relation between the cost of obtaining information about work and the trustworthiness of this information. Moreover, we show that Jarzynski’s equality can be maintained exactly at the expense of a correction that depends only on the system’s energy scale, while the more general fluctuation relation due to Crooks no longer holds when the cost of the work estimation procedure is finite. We show that precise links between dissipation and irreversibility can be extended to the non-ideal situation.https://doi.org/10.1088/1367-2630/ab4d9dquantum thermodynamicsnon-ideal measurementswork estimationJarzynski relation |
| spellingShingle | Tiago Debarba Gonzalo Manzano Yelena Guryanova Marcus Huber Nicolai Friis Work estimation and work fluctuations in the presence of non-ideal measurements New Journal of Physics quantum thermodynamics non-ideal measurements work estimation Jarzynski relation |
| title | Work estimation and work fluctuations in the presence of non-ideal measurements |
| title_full | Work estimation and work fluctuations in the presence of non-ideal measurements |
| title_fullStr | Work estimation and work fluctuations in the presence of non-ideal measurements |
| title_full_unstemmed | Work estimation and work fluctuations in the presence of non-ideal measurements |
| title_short | Work estimation and work fluctuations in the presence of non-ideal measurements |
| title_sort | work estimation and work fluctuations in the presence of non ideal measurements |
| topic | quantum thermodynamics non-ideal measurements work estimation Jarzynski relation |
| url | https://doi.org/10.1088/1367-2630/ab4d9d |
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