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Coupled superconducting qudit-resonator system: Energy spectrum, state population, and state transition under microwave drive
Siyuan, Han Zhao, S.P. Liu, W.Y. Xu, H.K. Su, F.F. Li, Z.Y. Tian, Ye
Siyuan, Han
Zhao, S.P.
Liu, W.Y.
Xu, H.K.
Su, F.F.
Li, Z.Y.
Tian, Ye
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Abstract
Superconducting quantum multilevel systems coupled to resonators have recently been considered in some
applications such as microwave lasing and high-fidelity quantum logical gates. In this work, using an rf-SQUID
type phase qudit coupled to a microwave coplanar waveguide resonator, we study both theoretically and
experimentally the energy spectrum of the system when the qudit level spacings are varied around the resonator
frequency by changing the magnetic flux applied to the qudit loop. We show that the experimental result can
be well described by a theoretical model that extends from the usual two-level Jaynes-Cummings system to the
present four-level system. It is also shown that due to the small anharmonicity of the phase device a simplified
model capturing the leading state interactions fits the experimental spectra very well. Furthermore we use the
Lindblad master equation containing various relaxation and dephasing processes to calculate the level populations
in the simpler qutrit-resonator system, which allows a clear understanding of the dynamics of the system under
the microwave drive. Our results help to better understand and perform the experiments of coupled multilevel
and resonator systems and can be applied in the case of transmon or Xmon qudits having similar anharmonicity
to the present phase device.
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2018-03-26
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American Physical Society
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PhysRevB.97.094513,
Coupled superconducting qudit-resonator system: Energy spectrum, state population, and state transition under microwave drive
Liu, W. Y. and Xu, H. K. and Su, F. F. and Li, Z. Y. and Tian, Ye and Han, Siyuan and Zhao, S. P.
Phys. Rev. B
97;9
10.1103/PhysRevB.97.094513