Landau–Zener transitions and Rabi oscillations in a Cooper-pair box: beyond two-level models
We investigate quantum interference effects in a superconducting Cooper-pair box by taking into account the possibility of tunneling processes involving one and two Cooper pairs. The quantum dynamics is analyzed in a framework of three-level model. We compute Landau–Zener probabilities for a linea...
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| Datum: | 2018 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2018
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| Schriftenreihe: | Физика низких температур |
| Schlagworte: | |
| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/176464 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Landau–Zener transitions and Rabi oscillations in a Cooper-pair box: beyond two-level models / A.V. Parafilo, M.N. Kiselev// Физика низких температур. — 2018. — Т. 44, № 12. — С. 1692-1699. — Бібліогр.: 34 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | We investigate quantum interference effects in a superconducting Cooper-pair box by taking into account the
possibility of tunneling processes involving one and two Cooper pairs. The quantum dynamics is analyzed in a
framework of three-level model. We compute Landau–Zener probabilities for a linear sweep of the gate charge
and investigate Rabi oscillations in a periodically driven three-level system under in- and off-resonance conditions. It was shown that the Landau–Zener probabilities reveal two different patterns: “step”- and “beats”-like
behaviors associated with the quantum interference effects. Control on these two regimes is provided by change
of the ratio between two characteristic time scales of the problem. We demonstrate through the analysis of a periodically driven three-level system, that if a direct transition between certain pairs of levels is allowed and finetuned to a resonance, the problem is mapped to the two-level Rabi model. If the transition between pair of levels
is forbidden, the off-resonance Rabi oscillations involving second order in tunneling processes are predicted.
This effect can be observed by measuring a population difference slowly varying in time between the states of
the Cooper-pair box characterized by the same parity |
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