Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Conference on Precision Electromagnetic Measurements

Quantum Locking Range Effects in Pulse-Driven Josephson Junction Arrays for DC Voltage Generation

D. Georgakopoulos

Published Jul 8, 2024• 0 citations
Publisher

Abstract

Pulse-driven Josephson junction arrays (PD JJAs) are used for the generation of arbitrary waveforms with quantum accuracy. The main requirement for quantum operation is that all the Josephson junctions have quantum locking ranges (QLRs) with respect to the power and frequency of the radio frequency (RF) bias and constant voltage over a range of dc bias currents. In this paper we investigate the QLR of PD JJAs for the generation of dc voltage. Our results demonstrate that in proximity to the QLR for RF power, the dc current-voltage characteristics can show apparent quantization of the voltage with statistical properties almost indistinguishable from those in the QLR.

DOI
10.1109/cpem61406.2024.10646163

Related papers

Quasi-continuous dc voltage standard using sinusoidal and pulse-driven Josephson junction arrays

D. Georgakopoulos, Ilya F. Budovsky, Samuel P. Benz

Abstract Josephson voltage standards (JVSs) provide a primary realization of the volt, the unit of electromotive force. They generate direct current (dc) voltages up to 10 V and show agreement better than 1 nV V−1 at 10 V. For JVSs based on Josephson junction arrays (JJAs) that are driven by sinusoidal radiofrequency (RF) power, commonly referred to as continuous wave-driven JJAs (CWD JJAs), the minimum voltage that can be generated is limited to the voltage across one Josephson junction (JJ) for practical devices. To achieve this resolution, they may require a perfect JJA chip. JVSs based on a pulse-driven (PD) JJA require high performance electronics (i.e. high bandwidth, low distortion and jitter, pulse shaping filters and large memory) to achieve their minimum and maximum voltage. We have combined two CWD JJAs and two PD JJAs driven by two microwave inputs to one chip to generate quasi-continuous dc voltages up to the sum of the full-scale voltages of both JJAs that are robust to the imperfections of the JJs and have relaxed requirements on the RF electronics driving the JJA, compared to the existing CWD JVSs and PD JVSs, respectively. By use of the JJA chip at the National Measurement Institute Australia, we demonstrate its feasibility to generate voltages up to 1 V. Preliminary evaluation of the system shows that the voltage uncertainty can be 11 nV (k = 2) or better and the theoretical resolution is better than 1 nV from 0 V to 1 V. The main requirement is that all the JJs must have quantum locking ranges with respect to the power and frequency of the RF bias and for the PD JJAs to have a constant voltage over a range of dc bias current. Although this development is not a replacement for existing state-of-the-art JVSs, we anticipate that it will be an alternative fit-for-purpose solution for metrological applications under non-ideal operating conditions or when the components of the state-of-the-art solutions are not available.

Measurement Science and Technology•Nov 9, 2022•1 citation

Josephson waveform synthesizers

J. Niemeyer, Oliver Kieler, F. Muller +3 more

The DC voltage across a Josephson junction is exactly determined by the number of single flux quanta Φ0passing the junction per second. By locking this flux train to an external sinusoidal microwave with the frequency f or a pulse train with the pulse rate f in such a way that one flux quantum is transferred per microwave period or per pulse respectively, the junction DC voltage becomes V=Φ0f in the simplest case. The precision of V is only determined by the uncertainty of the frequency control. As the output voltage is relatively small (V=140μV for f=70GHz), large series arrays of n Josephson junctions must be used to increase the voltage to practical levels V=nΦ0f. With a sinusoidal 70 GHz microwave drive and series arrays of up to 14000 SIS tunnel junctions modern DC voltage standards were developed in the past which may reach a reproducibility of a few parts in 10-10. These standards are commercially available and form the basis of the legal voltage metrology of most of the national laboratories worldwide. Because the reference voltages of these standards are widely overlapping it is difficult to rapidly adjust the desired voltage. It was therefore impossible to use these quantum voltmeters for the precise analysis of AC voltages. For this purpose the arrays had to be modified in many respects. The direct way to generate arbitrary Josephson waveforms V(t) is to rapidly alter the frequency f(t) with respect to the desired waveform V(t)=nf(t)Φ0. It requires a precise flux transfer control over a very wide frequency range.

International Kharkiv Symposium on Physics and Engineering of Microwaves, Millimeter and Submillimeter Waves•Jun 1, 2010•0 citations

Challenges of Josephson Junction Arrays for ac Voltage Generation by Microwave Pulse Power Modulation

Alexander S. Katkov, Alexander M. Klushin, G. P. Telitchenko +2 more

Voltage pulses with a determined amplitude and width might be the basis for high-precision ac voltage measurements in the future. The pulse width modulation technique makes possible the generation of arbitrary waveforms. In this paper, arrays of SINIS Josephson junctions were investigated which produce a 1 V voltage step under irradiation at a frequency of the order of 70 GHz. This step has an amplitude of 1 mA whereof a region of 0.3 mA overlaps with the critical current. This allows the generation of a 1 V voltage pulse by switching the microwave power at constant dc bias current. The results of this investigation will be presented and also the array parameters which are required for obtaining a relative uncertainty of 0.1 ppm in ac voltage measurements.

IEEE Transactions on Applied Superconductivity•Jun 1, 2005•4 citations

Quantized Pulse Propagation in Josephson Junction Arrays

Christine A. Donnelly, Justus A. Brevik, Nathan E. Flowers-Jacobs +4 more

We present time-domain electrical measurements and simulations of the quantized voltage pulses that are generated from series-connected Josephson junction (JJ) arrays. The transmission delay of the JJ array can lead to a broadening of the net output pulse, depending on the direction of the output pulse propagation relative to the input bias pulse. To demonstrate this, we compare time-domain measurements of output pulses from radio-frequency Josephson Arbitrary Waveform Synthesizer (RF-JAWS) circuits fabricated with two different output measurement configurations, so that the backward-propagating and forward-propagating pulses can be measured. Measurements were made on arrays with 1200 and 3600 JJs and show that the net backward-propagating output pulse is broadened by timing delays in the JJ array while the net forward-propagating output pulse is insensitive to delay effects and can theoretically be further scaled to longer JJ array lengths without significant output pulse broadening. These measurements match well with simulations and confirm the expectation that the net output pulses arise from the time-delayed superposition of individual JJ output pulses from the series array of JJs. The measurements and analysis shown here have important implications for the realization of RF-JAWS circuits to be used as quantum-based reference sources for communications metrology.

IEEE Transactions on Applied Superconductivity•Jul 23, 2019•15 citations

Driving a Josephson Junction Array with a Mode-Locked Laser and a Photodiode

J. Nissilä, Thomas Fordell, Oliver Kieler +1 more

This paper describes development of a new technique to drive Josephson junction arrays (JJA). We have designed and built an optical pulse generator (up to 12 GHz pulse rate) based on a mode-locked laser to feed an ultra-fast photodiode which again can drive current pulses to a JJA. Our preliminary experiments show that precise direct current (dc) voltages can be realized with a JJA with 5000 junctions. The work ultimately aims at development of an arbitrary pulse pattern generator allowing generation of precise arbitrary voltage waveforms.

Conference on Precision Electromagnetic Measurements•Jul 1, 2018•3 citations

Quantum-Based Modulated Microwave Waveforms

Akim A. Babenko, Nathan E. Flowers-Jacobs, Anna E. Fox +3 more

This article presents a superconducting voltage source that generates modulated microwave waveforms with quantum-based stability. The voltage source—an RF Josephson Arbitrary Waveform Synthesizer (RF-JAWS)—uses a superconducting IC with an array of 4500 series-connected Josephson junctions (JJs) that are embedded in a coplanar waveguide (CPW) transmission line. The JJs are driven with 100-ps wide current pulses that force each JJ to generate voltage pulses with a quantized integrated area. A pulse sequence is created using a delta-sigma ($\Delta $–$\Sigma $) algorithm to generate a 101-tone waveform with a 40-MHz instantaneous bandwidth around 1005 MHz with a flat power distribution of −53 dBm and a Schroeder phase distribution. The JJ’s quantum-based nonlinearity produces an amplitude stability with respect to various drive and bias parameters of ±0.005 dB and a detrended phase stability of ±0.05°. The stability of the source is verified without the need for calibrated measurements. Another$\Delta $–$\Sigma $pulse sequence generates a 10-MHz quadrature-phase shift-keying (QPSK) waveform on a 1005-MHz carrier that has the same stability and the mean error vector magnitude (EVM) of −48 dB. This work is a step toward creating a quantum-based reference source for power and cross-frequency phase calibrations, as well as a reference-modulated signal source for calibrating telecommunication links.

IEEE Transactions on Microwave Theory and Techniques•Aug 4, 2023•5 citations
Pulse-driven Josephson junction arrays (PD JJAs) are used for the generation of arbitrary waveforms with quantum accuracy. The main requirement for quantum operation is that all the Josephson junctions have quantum locking ranges (QLRs) with respect to the power and frequency of the radio frequency (RF) bias and constant voltage over a range of dc bias currents. In this paper we investigate the QLR of PD JJAs for the generation of dc voltage. Our results demonstrate that in proximity to the QLR for RF power, the dc current-voltage characteristics can show apparent quantization of the voltage with statistical properties almost indistinguishable from those in the QLR.
Abstract Josephson voltage standards (JVSs) provide a primary realization of the volt, the unit of electromotive force. They generate direct current (dc) voltages up to 10 V and show agreement better than 1 nV V−1 at 10 V. For JVSs based on Josephson junction arrays (JJAs) that are driven by sinusoidal radiofrequency (RF) power, commonly referred to as continuous wave-driven JJAs (CWD JJAs), the minimum voltage that can be generated is limited to the voltage across one Josephson junction (JJ) for practical devices. To achieve this resolution, they may require a perfect JJA chip. JVSs based on a pulse-driven (PD) JJA require high performance electronics (i.e. high bandwidth, low distortion and jitter, pulse shaping filters and large memory) to achieve their minimum and maximum voltage. We have combined two CWD JJAs and two PD JJAs driven by two microwave inputs to one chip to generate quasi-continuous dc voltages up to the sum of the full-scale voltages of both JJAs that are robust to the imperfections of the JJs and have relaxed requirements on the RF electronics driving the JJA, compared to the existing CWD JVSs and PD JVSs, respectively. By use of the JJA chip at the National Measurement Institute Australia, we demonstrate its feasibility to generate voltages up to 1 V. Preliminary evaluation of the system shows that the voltage uncertainty can be 11 nV (k = 2) or better and the theoretical resolution is better than 1 nV from 0 V to 1 V. The main requirement is that all the JJs must have quantum locking ranges with respect to the power and frequency of the RF bias and for the PD JJAs to have a constant voltage over a range of dc bias current. Although this development is not a replacement for existing state-of-the-art JVSs, we anticipate that it will be an alternative fit-for-purpose solution for metrological applications under non-ideal operating conditions or when the components of the state-of-the-art solutions are not available.
The DC voltage across a Josephson junction is exactly determined by the number of single flux quanta Φ0passing the junction per second. By locking this flux train to an external sinusoidal microwave with the frequency f or a pulse train with the pulse rate f in such a way that one flux quantum is transferred per microwave period or per pulse respectively, the junction DC voltage becomes V=Φ0f in the simplest case. The precision of V is only determined by the uncertainty of the frequency control. As the output voltage is relatively small (V=140μV for f=70GHz), large series arrays of n Josephson junctions must be used to increase the voltage to practical levels V=nΦ0f. With a sinusoidal 70 GHz microwave drive and series arrays of up to 14000 SIS tunnel junctions modern DC voltage standards were developed in the past which may reach a reproducibility of a few parts in 10-10. These standards are commercially available and form the basis of the legal voltage metrology of most of the national laboratories worldwide. Because the reference voltages of these standards are widely overlapping it is difficult to rapidly adjust the desired voltage. It was therefore impossible to use these quantum voltmeters for the precise analysis of AC voltages. For this purpose the arrays had to be modified in many respects. The direct way to generate arbitrary Josephson waveforms V(t) is to rapidly alter the frequency f(t) with respect to the desired waveform V(t)=nf(t)Φ0. It requires a precise flux transfer control over a very wide frequency range.
Voltage pulses with a determined amplitude and width might be the basis for high-precision ac voltage measurements in the future. The pulse width modulation technique makes possible the generation of arbitrary waveforms. In this paper, arrays of SINIS Josephson junctions were investigated which produce a 1 V voltage step under irradiation at a frequency of the order of 70 GHz. This step has an amplitude of 1 mA whereof a region of 0.3 mA overlaps with the critical current. This allows the generation of a 1 V voltage pulse by switching the microwave power at constant dc bias current. The results of this investigation will be presented and also the array parameters which are required for obtaining a relative uncertainty of 0.1 ppm in ac voltage measurements.
We present time-domain electrical measurements and simulations of the quantized voltage pulses that are generated from series-connected Josephson junction (JJ) arrays. The transmission delay of the JJ array can lead to a broadening of the net output pulse, depending on the direction of the output pulse propagation relative to the input bias pulse. To demonstrate this, we compare time-domain measurements of output pulses from radio-frequency Josephson Arbitrary Waveform Synthesizer (RF-JAWS) circuits fabricated with two different output measurement configurations, so that the backward-propagating and forward-propagating pulses can be measured. Measurements were made on arrays with 1200 and 3600 JJs and show that the net backward-propagating output pulse is broadened by timing delays in the JJ array while the net forward-propagating output pulse is insensitive to delay effects and can theoretically be further scaled to longer JJ array lengths without significant output pulse broadening. These measurements match well with simulations and confirm the expectation that the net output pulses arise from the time-delayed superposition of individual JJ output pulses from the series array of JJs. The measurements and analysis shown here have important implications for the realization of RF-JAWS circuits to be used as quantum-based reference sources for communications metrology.
This paper describes development of a new technique to drive Josephson junction arrays (JJA). We have designed and built an optical pulse generator (up to 12 GHz pulse rate) based on a mode-locked laser to feed an ultra-fast photodiode which again can drive current pulses to a JJA. Our preliminary experiments show that precise direct current (dc) voltages can be realized with a JJA with 5000 junctions. The work ultimately aims at development of an arbitrary pulse pattern generator allowing generation of precise arbitrary voltage waveforms.
This article presents a superconducting voltage source that generates modulated microwave waveforms with quantum-based stability. The voltage source—an RF Josephson Arbitrary Waveform Synthesizer (RF-JAWS)—uses a superconducting IC with an array of 4500 series-connected Josephson junctions (JJs) that are embedded in a coplanar waveguide (CPW) transmission line. The JJs are driven with 100-ps wide current pulses that force each JJ to generate voltage pulses with a quantized integrated area. A pulse sequence is created using a delta-sigma ($\Delta –––\Sigma )algorithmtogeneratea101−tonewaveformwitha40−MHzinstantaneousbandwidtharound1005MHzwithaflatpowerdistributionof−53dBmandaSchroederphasedistribution.TheJJ’squantum−basednonlinearityproducesanamplitudestabilitywithrespecttovariousdriveandbiasparametersof±0.005dBandadetrendedphasestabilityof±0.05°.Thestabilityofthesourceisverifiedwithouttheneedforcalibratedmeasurements.Another) algorithm to generate a 101-tone waveform with a 40-MHz instantaneous bandwidth around 1005 MHz with a flat power distribution of −53 dBm and a Schroeder phase distribution. The JJ’s quantum-based nonlinearity produces an amplitude stability with respect to various drive and bias parameters of ±0.005 dB and a detrended phase stability of ±0.05°. The stability of the source is verified without the need for calibrated measurements. Another)algorithmtogeneratea101−tonewaveformwitha40−MHzinstantaneousbandwidtharound1005MHzwithaflatpowerdistributionof−53dBmandaSchroederphasedistribution.TheJJ’squantum−basednonlinearityproducesanamplitudestabilitywithrespecttovariousdriveandbiasparametersof±0.005dBandadetrendedphasestabilityof±0.05°.Thestabilityofthesourceisverifiedwithouttheneedforcalibratedmeasurements.Another\Delta –––\Sigma $pulse sequence generates a 10-MHz quadrature-phase shift-keying (QPSK) waveform on a 1005-MHz carrier that has the same stability and the mean error vector magnitude (EVM) of −48 dB. This work is a step toward creating a quantum-based reference source for power and cross-frequency phase calibrations, as well as a reference-modulated signal source for calibrating telecommunication links.