Quantized resonator field coupled to a current-biased Josephson junction in circuit QED

Abstract

A Lagrangian formalism is used to derive the Hamiltonian for a $\lambda$/4 resonator shunted by a current-biased Josephson junction. The eigenstates and the quantum dynamics of the system are analyzed numerically, and we show that the system can function as an efficient detector of weak incident microwave fields.

8 pages, 6 figures

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Cited by in corpus (7)

• Detection of weak microwave fields with an underdamped Josephson junction
• High-fidelity qubit measurement with a microwave photon counter
• Single-photon detection with a Josephson junction coupled to a resonator
• Multi-frequency modes in superconducting resonators: Bridging frequency gaps in off-resonant couplings
• Electromagnetic radiation detectors based on Josephson junctions: Effective Hamiltonian
• Signal amplification in a qubit-resonator system
• Dispersive detection of single microwave photons with quantum dots