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

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arxiv 1312.5863 v2 pith:CLTVINT6 submitted 2013-12-20 quant-ph cond-mat.supr-con

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

classification quant-ph cond-mat.supr-con
keywords current-biasedjosephsonjunctionresonatorsystemanalyzedcircuitcoupled
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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