A Lagrangian formalism is used toderive the Hamiltonian for a $\ensuremath{\lambda}$/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 this quantum system can function as an efficient detector of weak incident microwave fields.

arXiv:1312.5863Physical Review AMar 27, 201413 citations

Physics Letters A

Eigenstates and eigenvalues of a current biased Josephson junction

Daniel N. Rogovin, Marlan O. Scully

Published Sep 1, 1980• 0 citations

Publisher

DOI: 10.1016/0375-9601(80)90247-9

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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.