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- W2955807894 abstract "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 easily derived. First the classical theory of the coupled-mode equations as presented by O'Brien et al. [O'Brien et al., Phys. Rev. Lett. 113, 157001 (2014)] is briefly reviewed. Then a derivation of the full quantum theory is given using mesoscopic quantization techniques in terms of discrete-mode operators. This results in a Hamiltonian that describes the process of parametric amplification. We show that the coupled-mode equations can be derived from this Hamiltonian in the classical limit and elaborate on the validity of the theory." @default.
- W2955807894 created "2019-07-12" @default.
- W2955807894 creator A5031123361 @default.
- W2955807894 date "2019-06-28" @default.
- W2955807894 modified "2023-09-26" @default.
- W2955807894 title "Mesoscopic Hamiltonian for Josephson traveling-wave parametric amplifiers" @default.
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- W2955807894 doi "https://doi.org/10.1103/physreva.99.063838" @default.
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