English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

We present a formalism for modelling parametric amplification by resonatorssubject to rate-limited nonlinearity of mixed reactive/dissipative character,with particular relevance to superconducting devices. The non-linearity isassumed to be characterised by a single state parameter, which responds tochanges in the energy stored in the resonator with finite response time. Weshow how the operating point and small signal amplification behaviour of thepumped resonator can be calculated, characterised and optimised in terms of aset of three dimensionless parameters. The formalism is then illustrated with asimple, first-order, model nonlinearity and the implications for amplificationvia quasiparticle generation in a superconductor discussed. Throughout wedescribe how the parameters needed to characterise the device can be determinedexperimentally from steady-state measurements. A key result of this paper isthat rate-limiting of a nonlinear mechanism does not preclude amplification,although it does limit the bandwidth over which it may be achieved.

Effects of reactive, dissipative and rate-limited nonlinearity on the behaviour of superconducting resonator parametric amplifiers