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 Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

We investigate the physics of coherent quantum phase slips in two distinctcircuits containing small Josephson junctions: (i) a single junction embeddedin an inductive environment and (ii) a long chain of junctions. Starting fromthe standard Josephson Hamiltonian, the single junction circuit can be analyzedusing quasi-classical methods; we formulate the conditions under which theresulting quasi-charge dynamics is exactly dual to the usual phase dynamicsassociated with Josephson tunneling. For the chain we use the fact that itscollective behavior can be characterized by one variable: the number $m$ ofquantum phase slips present on it. We conclude that the dynamics of theconjugate quasi-charge is again exactly dual to the standard phase dynamics ofa single Josephson junction. In both cases we elucidate the role of theinductance, essential to obtain exact duality. These conclusions have profoundconsequences for the behavior of single junctions and chains under microwaveirradiation. Since both systems are governed by a model exactly dual to thestandard resistively and capacitively shunted junction model, we expect theappearance of current-Shapiro steps. We numerically calculate the correspondingcurrent-voltage characteristics in a wide range of parameters. Our results areof interest in view of a metrological current standard.

Phase-charge duality in Josephson junction circuits: Role of inertia and effect of microwave irradiation