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Low Temperature Physics

Influence of anharmonic current-phase relation on the time resolution of Josephson balanced comparator

I. N. Askerzade, I. Ulku

Published Sep 1, 2022• 0 citations
Publisher

Abstract

In this study, we carried out the analysis of the resolution time of Josephson junction (JJ) balanced comparators with anharmonic current-phase relation (CPR). An expression for the time resolution was obtained in the case of linearly growing strobe current pulse driven via the junction. It is shown that the resolution time of balanced comparators is improved by the renormalized critical current of JJ with anharmonic CPR.

DOI
10.1063/10.0013293

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In this study, we carried out the analysis of the resolution time of Josephson junction (JJ) balanced comparators with anharmonic current-phase relation (CPR). An expression for the time resolution was obtained in the case of linearly growing strobe current pulse driven via the junction. It is shown that the resolution time of balanced comparators is improved by the renormalized critical current of JJ with anharmonic CPR.
The aim of this review is the analysis of dynamical properties of Josephson junctions (JJ) with anharmonic current-phase relation (CPR). Firstly, discussion of theoretical foundation of anharmonic CPR in different Josephson structures and their experimental observation are presented. The influence of anisotropy and multiband effects on CPR of JJ are analyzed. We present recent theoretical study results of the anharmonic CPR influence on I–V curve, plasma frequency, and dynamics of long JJ. Results of study of Shapiro steps in I–V curve of anharmonic JJ are also presented. Finally, CPR anharmonicity effect on characteristics of JJ-based qubits is discussed.
Numerical Study of III–VVV Characteristics of Externally Shunted Josephson Junctions With Unharmonic Current-Phase Relation
The use of high-T/sub c/ Josephson junctions for digital applications requires a careful study of the influence of thermal noise on circuit performance. We investigated a balanced current comparator, which contains a basic component of all RSFQ circuits: two overdamped Josephson junctions connected in series. The dependence of the dc-voltage across the Josephson junctions on signal current was measured to determine the threshold uncertainty of switching of the comparator. The experimental data obtained at different sampling pulse frequencies, in a temperature range from 10 to 50 K, were compared with a theoretical model, taking into account the influence of thermal noise as well as of sampling pulse frequency.
An analytical approach that makes it possible to reconstruct the current–phase relation (CPR) in Josephson structures included in one of the arms of a two-junction superconducting quantum interference device (SQUID), where the second junction has a significantly higher critical current and a known (sinusoidal) CPR, has been developed. The developed methods of analytical and numerical studies of current–flow transformations in two-junction SQUIDs make it possible to reconstruct the CPR of a junction with a low critical current taking into account both the existence of the self-inductance of the interferometer contour and a possible asymmetry in the supply current system. The efficiency of this approach has been confirmed by the experimental study of niobium–aluminum/aluminum oxide–niobium test structures with the known CPR.
This study is devoted to the investigation of the Josephson phase qubit spectrum considering the anharmonic current-phase relation of the junction. The change in energy difference in the spectrum of phase qubits based on single-band/multiband Josephson junctions is also analyzed. It was shown that the presence of the anharmonic term in the current-phase relation and frustration effects in the junction electrodes leads to changing effective plasma frequencies in the different cases and results in an energy spectrum.