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Condensed Matter > Superconductivity

Title: Inelastic scattering of microwave radiation in the Coulomb blockade: Microwave absorption, amplification, and squeezing by inelastic Cooper-pair tunneling

Abstract: We study scattering of propagating microwave fields by a DC-voltage-biased Josephson junction. At sub-gap voltages, a small Josephson junction works merely as a non-linear boundary that can absorb, amplify, and diversely convert propagating microwaves. We find that in the leading-order perturbation theory of the Josephson coupling energy, the spectral density and quadrature fluctuations of scattered thermal and coherent radiation can be described in terms of the well-known $P(E)$ function. Applying this, we show how thermal and coherent radiation can be absorbed and amplified in a circuit with a resonance frequency. We also show when a coherent input can create a two-mode squeezed output. In addition, we evaluate scattering amplitudes between arbitrary photon-number (Fock) states, describing individual photon multiplication and absorption processes occuring at the junction.
Comments: 18 pages, 6 figures
Subjects: Superconductivity (cond-mat.supr-con); Mesoscale and Nanoscale Physics (cond-mat.mes-hall); Quantum Physics (quant-ph)
Cite as: arXiv:1803.06654 [cond-mat.supr-con]
  (or arXiv:1803.06654v1 [cond-mat.supr-con] for this version)

Submission history

From: Juha Leppäkangas [view email]
[v1] Sun, 18 Mar 2018 12:50:25 GMT (1534kb,D)