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Mesoscopic Hamiltonian for Josephson traveling-wave parametric amplifiers

Mesoscopic Hamiltonian for Josephson traveling-wave parametric amplifiers

We present a theory describing parametric amplification in a Josephson junction embedded transmission line. We will focus on the process of four-wave mixing under the assumption of an undepleted pump. However, the approach taken is quite general, such that a different parametric process or the process under different assumptions is …