Revealing memory effects in phase-covariant quantum master equations
We study and compare the sensitivity of multiple non-Markovianity indicators for a qubit subjected to general phase-covariant noise. For each of the indicators, we derive analytical conditions to detect the dynamics as non-Markovian. We present these conditions as relations between the time-dependen...
| 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/aacc38 |
| _version_ | 1797750652078653440 |
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| author | J Teittinen H Lyyra B Sokolov S Maniscalco |
| author_facet | J Teittinen H Lyyra B Sokolov S Maniscalco |
| author_sort | J Teittinen |
| collection | DOAJ |
| description | We study and compare the sensitivity of multiple non-Markovianity indicators for a qubit subjected to general phase-covariant noise. For each of the indicators, we derive analytical conditions to detect the dynamics as non-Markovian. We present these conditions as relations between the time-dependent decay rates for the general open system dynamics and its commutative and unital subclasses. These relations tell directly if the dynamics is non-Markovian w.r.t. each indicator, without the need to explicitly derive and specify the analytic form of the time-dependent coefficients. Moreover, with a shift in perspective, we show that if one assumes only the general form of the master equation, measuring the non-Markovianity indicators gives us directly non-trivial information on the relations between the unknown decay rates. |
| first_indexed | 2024-03-12T16:36:55Z |
| format | Article |
| id | doaj.art-da57148855e449b08720feda61982349 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:36:55Z |
| publishDate | 2018-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-da57148855e449b08720feda619823492023-08-08T14:51:59ZengIOP PublishingNew Journal of Physics1367-26302018-01-0120707301210.1088/1367-2630/aacc38Revealing memory effects in phase-covariant quantum master equationsJ Teittinen0https://orcid.org/0000-0001-9288-7531H Lyyra1https://orcid.org/0000-0002-9218-4657B Sokolov2https://orcid.org/0000-0001-9788-2617S Maniscalco3QTF Centre of Excellence, Turku Centre for Quantum Physics, Department of Physics and Astronomy, University of Turku , FI-20014 Turun Yliopisto, FinlandQTF Centre of Excellence, Turku Centre for Quantum Physics, Department of Physics and Astronomy, University of Turku , FI-20014 Turun Yliopisto, FinlandQTF Centre of Excellence, Turku Centre for Quantum Physics, Department of Physics and Astronomy, University of Turku , FI-20014 Turun Yliopisto, FinlandQTF Centre of Excellence, Turku Centre for Quantum Physics, Department of Physics and Astronomy, University of Turku , FI-20014 Turun Yliopisto, Finland; QTF Centre of Excellence, Department of Applied Physics, School of Science, Aalto University , FI-00076 Aalto, FinlandWe study and compare the sensitivity of multiple non-Markovianity indicators for a qubit subjected to general phase-covariant noise. For each of the indicators, we derive analytical conditions to detect the dynamics as non-Markovian. We present these conditions as relations between the time-dependent decay rates for the general open system dynamics and its commutative and unital subclasses. These relations tell directly if the dynamics is non-Markovian w.r.t. each indicator, without the need to explicitly derive and specify the analytic form of the time-dependent coefficients. Moreover, with a shift in perspective, we show that if one assumes only the general form of the master equation, measuring the non-Markovianity indicators gives us directly non-trivial information on the relations between the unknown decay rates.https://doi.org/10.1088/1367-2630/aacc38open quantum systemsnon-Markovianitymaster equation |
| spellingShingle | J Teittinen H Lyyra B Sokolov S Maniscalco Revealing memory effects in phase-covariant quantum master equations New Journal of Physics open quantum systems non-Markovianity master equation |
| title | Revealing memory effects in phase-covariant quantum master equations |
| title_full | Revealing memory effects in phase-covariant quantum master equations |
| title_fullStr | Revealing memory effects in phase-covariant quantum master equations |
| title_full_unstemmed | Revealing memory effects in phase-covariant quantum master equations |
| title_short | Revealing memory effects in phase-covariant quantum master equations |
| title_sort | revealing memory effects in phase covariant quantum master equations |
| topic | open quantum systems non-Markovianity master equation |
| url | https://doi.org/10.1088/1367-2630/aacc38 |
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