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The European Physical Journal B

Electrodynamics of current-biased inductive cubic networks of Josephson junctions

Roberto De Luca

Published Jul 1, 2001• 1 citation
Publisher
DOI
10.1007/bf03186676

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The electrodynamic response of a current-biased inductive network of small Josephson junctions located at the edges of a cube of side a is studied. The dynamical equations for the gauge-invariant phase differences across the junctions are derived in the presence of a constant magnetic field H applied along an arbitrary direction in space. When H is applied in a direction parallel to one of the sides, it is found that the time evolution of the voltages across the branches of the network reproduces the well known features present in superconducting auantum interference devices.
We propose a scheme for a cavity quantum electrodynamics (QED) architecture for a current-biased superconducting flux qubit with three Josephson junctions. The qubit operation is performed by using a bias current coming from the current mode of the circuit resonator. If the phase differences of junctions are to be coupled with the bias current, the Josephson junctions should be arranged in an asymmetric way in the qubit loop. Our QED scheme provides a strong coupling between the flux qubit and the transmission line resonator of the circuit.
We propose a scheme for a cavity quantum electrodynamics (QED) architecture for a current-biased superconducting flux qubit with three Josephson junctions. The qubit operation is performed by using a bias current coming from the current mode of the circuit resonator. If the phase differences of junctions are to be coupled with the bias current, the Josephson junctions should be arranged in an asymmetric way in the qubit loop. Our QED scheme provides a strong coupling between the flux qubit and the transmission line resonator of the circuit.