Probe thermometry with continuous measurements
Temperature estimation plays a vital role across natural sciences. A standard approach is provided by probe thermometry, where a probe is brought into contact with the sample and examined after a certain amount of time has passed. In situations where, for example, preparation of the probe is non-tri...
| Main Authors: | , , , , , , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2023-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/ad0e8a |
| _version_ | 1797403377339990016 |
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| author | Julia Boeyens Björn Annby-Andersson Pharnam Bakhshinezhad Géraldine Haack Martí Perarnau-Llobet Stefan Nimmrichter Patrick P Potts Mohammad Mehboudi |
| author_facet | Julia Boeyens Björn Annby-Andersson Pharnam Bakhshinezhad Géraldine Haack Martí Perarnau-Llobet Stefan Nimmrichter Patrick P Potts Mohammad Mehboudi |
| author_sort | Julia Boeyens |
| collection | DOAJ |
| description | Temperature estimation plays a vital role across natural sciences. A standard approach is provided by probe thermometry, where a probe is brought into contact with the sample and examined after a certain amount of time has passed. In situations where, for example, preparation of the probe is non-trivial or total measurement time of the experiment is the main resource that must be optimized, continuously monitoring the probe may be preferred. Here, we consider a minimal model, where the probe is provided by a two-level system coupled to a thermal reservoir. Monitoring thermally activated transitions enables real-time estimation of temperature with increasing accuracy over time. Within this framework we comprehensively investigate thermometry in both bosonic and fermionic environments employing a Bayesian approach. Furthermore, we explore adaptive strategies and find a significant improvement on the precision. Additionally, we examine the impact of noise and find that adaptive strategies may suffer more than non-adaptive ones for short observation times. While our main focus is on thermometry, our results are easily extended to the estimation of other environmental parameters, such as chemical potentials and transition rates. |
| first_indexed | 2024-03-09T02:38:14Z |
| format | Article |
| id | doaj.art-39b0fc3d9fd24525a7c9e2c0de7f5667 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-09T02:38:14Z |
| publishDate | 2023-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-39b0fc3d9fd24525a7c9e2c0de7f56672023-12-06T07:45:10ZengIOP PublishingNew Journal of Physics1367-26302023-01-01251212300910.1088/1367-2630/ad0e8aProbe thermometry with continuous measurementsJulia Boeyens0Björn Annby-Andersson1Pharnam Bakhshinezhad2Géraldine Haack3https://orcid.org/0000-0001-7893-0177Martí Perarnau-Llobet4https://orcid.org/0000-0002-4658-0632Stefan Nimmrichter5https://orcid.org/0000-0001-9566-3824Patrick P Potts6https://orcid.org/0000-0001-6036-7291Mohammad Mehboudi7https://orcid.org/0000-0002-0398-9200Naturwissenschaftlich-Technische Fakultät, Universität Siegen , Siegen 57068, GermanyPhysics Department and NanoLund, Lund University , Box 118, 22100 Lund, SwedenPhysics Department and NanoLund, Lund University , Box 118, 22100 Lund, Sweden; Vienna Center for Quantum Science and Technology, Atominstitut, TU Wien , Stadionallee 2, Vienna 1020, AustriaDépartement de Physique Appliquée, Université de Genéve , 1211 Genéve, SwitzerlandDépartement de Physique Appliquée, Université de Genéve , 1211 Genéve, SwitzerlandNaturwissenschaftlich-Technische Fakultät, Universität Siegen , Siegen 57068, GermanyDepartment of Physics and Swiss Nanoscience Institute, University of Basel , Klingelbergstrasse 82, Basel 4056, SwitzerlandVienna Center for Quantum Science and Technology, Atominstitut, TU Wien , Stadionallee 2, Vienna 1020, Austria; Département de Physique Appliquée, Université de Genéve , 1211 Genéve, SwitzerlandTemperature estimation plays a vital role across natural sciences. A standard approach is provided by probe thermometry, where a probe is brought into contact with the sample and examined after a certain amount of time has passed. In situations where, for example, preparation of the probe is non-trivial or total measurement time of the experiment is the main resource that must be optimized, continuously monitoring the probe may be preferred. Here, we consider a minimal model, where the probe is provided by a two-level system coupled to a thermal reservoir. Monitoring thermally activated transitions enables real-time estimation of temperature with increasing accuracy over time. Within this framework we comprehensively investigate thermometry in both bosonic and fermionic environments employing a Bayesian approach. Furthermore, we explore adaptive strategies and find a significant improvement on the precision. Additionally, we examine the impact of noise and find that adaptive strategies may suffer more than non-adaptive ones for short observation times. While our main focus is on thermometry, our results are easily extended to the estimation of other environmental parameters, such as chemical potentials and transition rates.https://doi.org/10.1088/1367-2630/ad0e8aquantum thermometrycontinuous measurementsBayesian inferenceFisher informationnoisy measurements |
| spellingShingle | Julia Boeyens Björn Annby-Andersson Pharnam Bakhshinezhad Géraldine Haack Martí Perarnau-Llobet Stefan Nimmrichter Patrick P Potts Mohammad Mehboudi Probe thermometry with continuous measurements New Journal of Physics quantum thermometry continuous measurements Bayesian inference Fisher information noisy measurements |
| title | Probe thermometry with continuous measurements |
| title_full | Probe thermometry with continuous measurements |
| title_fullStr | Probe thermometry with continuous measurements |
| title_full_unstemmed | Probe thermometry with continuous measurements |
| title_short | Probe thermometry with continuous measurements |
| title_sort | probe thermometry with continuous measurements |
| topic | quantum thermometry continuous measurements Bayesian inference Fisher information noisy measurements |
| url | https://doi.org/10.1088/1367-2630/ad0e8a |
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