Low-frequency Landau–Zener–Stückelberg interference in dissipative superconducting qubits

Landau–Zener–Stückelberg (LZS) interference of continuously driven superconducting qubits is studied. Going beyond the second order perturbation expansion, we find a time dependent stationary population evolution as well as unsymmetrical microwave driven Landau–Zener transitions, resulting from the...

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Veröffentlicht in:Физика низких температур
Datum:2013
Hauptverfasser: Du, Lingjie, Lan, Dong, Yu, Yang
Format: Artikel
Sprache:Englisch
Veröffentlicht: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2013
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Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/118651
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Zitieren:Low-frequency Landau–Zener–Stückelberg interference in dissipative superconducting qubits / Lingjie Du, Dong Lan, Yang Yu // Физика низких температур. — 2013. — Т. 39, № 8. — С. 863–878. — Бібліогр.: 52 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Du, Lingjie
Lan, Dong
Yu, Yang
author_facet Du, Lingjie
Lan, Dong
Yu, Yang
citation_txt Low-frequency Landau–Zener–Stückelberg interference in dissipative superconducting qubits / Lingjie Du, Dong Lan, Yang Yu // Физика низких температур. — 2013. — Т. 39, № 8. — С. 863–878. — Бібліогр.: 52 назв. — англ.
collection DSpace DC
container_title Физика низких температур
description Landau–Zener–Stückelberg (LZS) interference of continuously driven superconducting qubits is studied. Going beyond the second order perturbation expansion, we find a time dependent stationary population evolution as well as unsymmetrical microwave driven Landau–Zener transitions, resulting from the nonresonant terms which are neglected in rotating-wave approximation. For the low-frequency driving, the qubit population at equi-librium is a periodical function of time, owing to the contribution of the nonresonant terms. In order to obtain the average population, it is found that the average approximation based on the perturbation approach can be applied to the low-frequency region. For the extremely low frequency which is much smaller than the decoherence rate, we develop noncoherence approximation by dividing the evolution into discrete time steps during which the co-herence is lost totally. These approximations present comprehensive analytical descriptions of LZS interference in most of parameter space of frequency and decoherence rate, agreeing well with those of the numerical simula-tions and providing a simple but integrated understanding to system dynamics. The application of our models to microwave cooling can obtain the minimal frequency to realize effective microwave cooling.
first_indexed 2025-11-24T15:47:00Z
format Article
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
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language English
last_indexed 2025-11-24T15:47:00Z
publishDate 2013
publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
record_format dspace
spelling Du, Lingjie
Lan, Dong
Yu, Yang
2017-05-30T18:34:46Z
2017-05-30T18:34:46Z
2013
Low-frequency Landau–Zener–Stückelberg interference in dissipative superconducting qubits / Lingjie Du, Dong Lan, Yang Yu // Физика низких температур. — 2013. — Т. 39, № 8. — С. 863–878. — Бібліогр.: 52 назв. — англ.
0132-6414
PACS: 03.65.Yz, 85.25.Dq, 85.25.Cp, 03.67.–a
https://nasplib.isofts.kiev.ua/handle/123456789/118651
Landau–Zener–Stückelberg (LZS) interference of continuously driven superconducting qubits is studied. Going beyond the second order perturbation expansion, we find a time dependent stationary population evolution as well as unsymmetrical microwave driven Landau–Zener transitions, resulting from the nonresonant terms which are neglected in rotating-wave approximation. For the low-frequency driving, the qubit population at equi-librium is a periodical function of time, owing to the contribution of the nonresonant terms. In order to obtain the average population, it is found that the average approximation based on the perturbation approach can be applied to the low-frequency region. For the extremely low frequency which is much smaller than the decoherence rate, we develop noncoherence approximation by dividing the evolution into discrete time steps during which the co-herence is lost totally. These approximations present comprehensive analytical descriptions of LZS interference in most of parameter space of frequency and decoherence rate, agreeing well with those of the numerical simula-tions and providing a simple but integrated understanding to system dynamics. The application of our models to microwave cooling can obtain the minimal frequency to realize effective microwave cooling.
en
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
Физика низких температур
Сверхпроводимость, в том числе высокотемпературная
Low-frequency Landau–Zener–Stückelberg interference in dissipative superconducting qubits
Article
published earlier
spellingShingle Low-frequency Landau–Zener–Stückelberg interference in dissipative superconducting qubits
Du, Lingjie
Lan, Dong
Yu, Yang
Сверхпроводимость, в том числе высокотемпературная
title Low-frequency Landau–Zener–Stückelberg interference in dissipative superconducting qubits
title_full Low-frequency Landau–Zener–Stückelberg interference in dissipative superconducting qubits
title_fullStr Low-frequency Landau–Zener–Stückelberg interference in dissipative superconducting qubits
title_full_unstemmed Low-frequency Landau–Zener–Stückelberg interference in dissipative superconducting qubits
title_short Low-frequency Landau–Zener–Stückelberg interference in dissipative superconducting qubits
title_sort low-frequency landau–zener–stückelberg interference in dissipative superconducting qubits
topic Сверхпроводимость, в том числе высокотемпературная
topic_facet Сверхпроводимость, в том числе высокотемпературная
url https://nasplib.isofts.kiev.ua/handle/123456789/118651
work_keys_str_mv AT dulingjie lowfrequencylandauzenerstuckelberginterferenceindissipativesuperconductingqubits
AT landong lowfrequencylandauzenerstuckelberginterferenceindissipativesuperconductingqubits
AT yuyang lowfrequencylandauzenerstuckelberginterferenceindissipativesuperconductingqubits