Low Temperature Physics: 36, 893 (2010); https://doi.org/10.1063/1.3515520 (9 pages)
Физика Низких Температур: Том 36, Выпуск 10-11 (Октябрь 2010), c. 1117-1127    ( к оглавлению , назад )

Quantum behavior of a flux qubit coupled to a resonator

A.N. Omelyanchouk1, S.N. Shevchenko1,2, Ya.S. Greenberg3,2, O. Astafiev4, and E. Il’ichev2

1B. Verkin Institute for Low Temperature Physics and Engineering of the National Academy of Sciences of Ukraine 47 Lenin Ave., 61103 Kharkov, Ukraine
E-mail: sshevchenko@ilt.kharkov.ua

2Institute of Photonic Technology, P.O. Box 100239, D-07702 Jena, Germany

3Novosibirsk State Technical University, 20 Karl Marx Ave., Novosibirsk, 630092, Russia

4NEC Nano Electronics Research Laboratories, Tsukuba, Ibaraki, 305-8501, Japan

Received March 29, 2010


The detailed theory for the system of a superconducting qubit coupled to the transmission line resonator is presented. We describe the system by solving analytically and numerically the master equation for the density matrix, which includes dissipative Lindblad term. We calculate the transmission coefficient, which provides the way to probe the dressed states of the qubit. The theoretical results are related to the experiment with the intermediate coupling between the qubit and the resonator, when the coupling energy is of the same order as the qubit relaxation rate.

PACS: 85.25.Am Superconducting device characterization, design, and modeling;
PACS: 85.25.Cp Josephson devices;
PACS: 84.37.+q Measurements in electric variables.

Ключевые слова: superconducting qubit, transmission line, resonator.