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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| Дата: | 2013 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2013
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| Назва видання: | Физика низких температур |
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| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/118651 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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| id |
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irk-123456789-1186512017-05-31T03:10:07Z Low-frequency Landau–Zener–Stückelberg interference in dissipative superconducting qubits Du, Lingjie Lan, Dong Yu, Yang Сверхпроводимость, в том числе высокотемпературная 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. 2013 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/118651 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 |
Сверхпроводимость, в том числе высокотемпературная Сверхпроводимость, в том числе высокотемпературная |
| spellingShingle |
Сверхпроводимость, в том числе высокотемпературная Сверхпроводимость, в том числе высокотемпературная Du, Lingjie Lan, Dong Yu, Yang Low-frequency Landau–Zener–Stückelberg interference in dissipative superconducting qubits 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. |
| format |
Article |
| author |
Du, Lingjie Lan, Dong Yu, Yang |
| author_facet |
Du, Lingjie Lan, Dong Yu, Yang |
| author_sort |
Du, Lingjie |
| title |
Low-frequency Landau–Zener–Stückelberg interference in dissipative superconducting qubits |
| title_short |
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_sort |
low-frequency landau–zener–stückelberg interference in dissipative superconducting qubits |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2013 |
| topic_facet |
Сверхпроводимость, в том числе высокотемпературная |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/118651 |
| 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. |
| series |
Физика низких температур |
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AT dulingjie lowfrequencylandauzenerstuckelberginterferenceindissipativesuperconductingqubits AT landong lowfrequencylandauzenerstuckelberginterferenceindissipativesuperconductingqubits AT yuyang lowfrequencylandauzenerstuckelberginterferenceindissipativesuperconductingqubits |
| first_indexed |
2023-10-18T20:32:48Z |
| last_indexed |
2023-10-18T20:32:48Z |
| _version_ |
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