Dynamic behavior of Josephson-junction qubits: crossover between Rabi oscillations and Landau–Zener transitions

• Published in: Физика низких температур
• Date: 2005
• Main Authors: Shevchenko, S.N., Kiyko, A.S., Omelyanchouk, A.N., Krech, W.
• Format: Article
• Language: English
• Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2005
• Subjects: Свеpхпpоводимость, в том числе высокотемпеpатуpная
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/121668
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Dynamic behavior of Josephson-junction qubits:
 crossover between Rabi oscillations and Landau–Zener
 transitions / S.N. Shevchenko, A.S. Kiyko, A.N. Omelyanchouk, W. Krech // Физика низких температур. — 2005. — Т. 31, № 7. — С. 752-760. — Бібліогр.: 28 назв. — англ.

We study the dynamic behavior of a quantum two-level system with periodically varying parameters
 by solving numerically the master equation for the density matrix. Two limiting cases are
 considered: multiphoton Rabi oscillations and Landau–Zener transitions. The approach is applied
 to the description of the dynamics of superconducting qubits. In particular, the case of the interferometer-
 type charge qubit with periodically varying parameters (gate voltage or magnetic flux)
 is investigated. The time-averaged energy level populations are calculated as functions of the
 qubit’s control parameters.