Quantum fluctuations of voltage in superconducting nanowires
At low temperatures non-equilibrium voltage fluctuations can be generated in current-biased superconducting nanowires due to proliferation of quantum phase slips (QPS) or, equivalently, due to quantum tunneling of magnetic flux quanta across the wire. In this paper we review and further extend recen...
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Дата: | 2017 |
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Мова: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2017
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Назва видання: | Физика низких температур |
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Цитувати: | Quantum fluctuations of voltage in superconducting nanowires / Andrew G. Semenov Andrei D. Zaikin // Физика низких температур. — 2017. — Т. 43, № 7. — С. 1011-1022. — Бібліогр.: 29 назв. — англ. |
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irk-123456789-1295352018-01-20T03:04:21Z Quantum fluctuations of voltage in superconducting nanowires Semenov, Andrew G. Zaikin, Andrei D. Сверхпроводящие и мезоскопические структуры. К 70-летию со дня рождения А.Н. Омельянчука At low temperatures non-equilibrium voltage fluctuations can be generated in current-biased superconducting nanowires due to proliferation of quantum phase slips (QPS) or, equivalently, due to quantum tunneling of magnetic flux quanta across the wire. In this paper we review and further extend recent theoretical results related to this phenomenon. Employing the phase-charge duality arguments combined with Keldysh path integral technique we analyze such fluctuations within the two-point and four-point measurement schemes demonstrating that voltage noise detected in such nanowires in general depends on the particular measurement setup. In the low frequency limit we evaluate all cumulants of the voltage operator which turn out to obey Poisson statistics and exhibit a power law dependence on the external bias. We also specifically address a non-trivial frequency dependence of quantum shot noise power spectrum S Ω for both longer and shorter superconducting nanowires. In particular, we demonstrate that S Ω decreases with increasing frequency Ω and vanishes beyond a threshold value of Ω at T → 0. Furthermore, we predict that S Ω may depend non-monotonously on temperature due to quantum coherent nature of QPS noise. The results of our theoretical analysis can be directly tested in future experiments with superconducting nanowires. 2017 Article Quantum fluctuations of voltage in superconducting nanowires / Andrew G. Semenov Andrei D. Zaikin // Физика низких температур. — 2017. — Т. 43, № 7. — С. 1011-1022. — Бібліогр.: 29 назв. — англ. 0132-6414 PACS: 73.23.Ra, 74.25.F–, 74.40.–n http://dspace.nbuv.gov.ua/handle/123456789/129535 en Физика низких температур Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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DSpace DC |
language |
English |
topic |
Сверхпроводящие и мезоскопические структуры. К 70-летию со дня рождения А.Н. Омельянчука Сверхпроводящие и мезоскопические структуры. К 70-летию со дня рождения А.Н. Омельянчука |
spellingShingle |
Сверхпроводящие и мезоскопические структуры. К 70-летию со дня рождения А.Н. Омельянчука Сверхпроводящие и мезоскопические структуры. К 70-летию со дня рождения А.Н. Омельянчука Semenov, Andrew G. Zaikin, Andrei D. Quantum fluctuations of voltage in superconducting nanowires Физика низких температур |
description |
At low temperatures non-equilibrium voltage fluctuations can be generated in current-biased superconducting nanowires due to proliferation of quantum phase slips (QPS) or, equivalently, due to quantum tunneling of magnetic flux quanta across the wire. In this paper we review and further extend recent theoretical results related to this phenomenon. Employing the phase-charge duality arguments combined with Keldysh path integral technique we analyze such fluctuations within the two-point and four-point measurement schemes demonstrating that voltage noise detected in such nanowires in general depends on the particular measurement setup. In the low frequency limit we evaluate all cumulants of the voltage operator which turn out to obey Poisson statistics and exhibit a power law dependence on the external bias. We also specifically address a non-trivial frequency dependence of quantum shot noise power spectrum S Ω for both longer and shorter superconducting nanowires. In particular, we demonstrate that S Ω decreases with increasing frequency Ω and vanishes beyond a threshold value of Ω at T → 0. Furthermore, we predict that S Ω may depend non-monotonously on temperature due to quantum coherent nature of QPS noise. The results of our theoretical analysis can be directly tested in future experiments with superconducting nanowires. |
format |
Article |
author |
Semenov, Andrew G. Zaikin, Andrei D. |
author_facet |
Semenov, Andrew G. Zaikin, Andrei D. |
author_sort |
Semenov, Andrew G. |
title |
Quantum fluctuations of voltage in superconducting nanowires |
title_short |
Quantum fluctuations of voltage in superconducting nanowires |
title_full |
Quantum fluctuations of voltage in superconducting nanowires |
title_fullStr |
Quantum fluctuations of voltage in superconducting nanowires |
title_full_unstemmed |
Quantum fluctuations of voltage in superconducting nanowires |
title_sort |
quantum fluctuations of voltage in superconducting nanowires |
publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
publishDate |
2017 |
topic_facet |
Сверхпроводящие и мезоскопические структуры. К 70-летию со дня рождения А.Н. Омельянчука |
url |
http://dspace.nbuv.gov.ua/handle/123456789/129535 |
citation_txt |
Quantum fluctuations of voltage in superconducting nanowires / Andrew G. Semenov Andrei D. Zaikin // Физика низких температур. — 2017. — Т. 43, № 7. — С. 1011-1022. — Бібліогр.: 29 назв. — англ. |
series |
Физика низких температур |
work_keys_str_mv |
AT semenovandrewg quantumfluctuationsofvoltageinsuperconductingnanowires AT zaikinandreid quantumfluctuationsofvoltageinsuperconductingnanowires |
first_indexed |
2023-10-18T20:58:05Z |
last_indexed |
2023-10-18T20:58:05Z |
_version_ |
1796151577147342848 |