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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Бібліографічні деталі
Дата:2017
Автори: Semenov, Andrew G., Zaikin, Andrei D.
Формат: Стаття
Мова:English
Опубліковано: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2017
Назва видання:Физика низких температур
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Онлайн доступ:http://dspace.nbuv.gov.ua/handle/123456789/129535
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
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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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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spelling 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
collection 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
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