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

in: Physical Review A (2014)
Andersen, Christian Kraglund; Oelsner, Gregor; Ilichev, Evgeni; Mølmer, Klaus
A Lagrangian formalism is used toderive the Hamiltonian for a λ/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 this quantum system can function as an efficient detector of weak incident microwave fields.

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