Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

  • Letter
  • Published:

A gate-tunable graphene Josephson parametric amplifier

Abstract

With a large portfolio of elemental quantum components, superconducting quantum circuits have contributed to advances in microwave quantum optics1. Of these elements, quantum-limited parametric amplifiers2,3,4 are essential for low noise readout of quantum systems whose energy range is intrinsically low (tens of μeV)5,6. They are also used to generate non-classical states of light that can be a resource for quantum enhanced detection7. Superconducting parametric amplifiers, such as quantum bits, typically use a Josephson junction as a source of magnetically tunable and dissipation-free non-linearity. In recent years, efforts have been made to introduce semiconductor weak links as electrically tunable non-linear elements, with demonstrations of microwave resonators and quantum bits using semiconductor nanowires8,9, a two-dimensional electron gas10, carbon nanotubes11 and graphene12,13. However, given the challenge of balancing non-linearity, dissipation, participation and energy scale, parametric amplifiers have not yet been implemented with a semiconductor weak link. Here, we demonstrate a parametric amplifier leveraging a graphene Josephson junction and show that its working frequency is widely tunable with a gate voltage. We report gain exceeding 20 dB and noise performance close to the standard quantum limit. Our results expand the toolset for electrically tunable superconducting quantum circuits. They also offer opportunities for the development of quantum technologies such as quantum computing, quantum sensing and for fundamental science14.

This is a preview of subscription content, access via your institution

Access options

Buy this article

Prices may be subject to local taxes which are calculated during checkout

Fig. 1: Graphene Josephson junction embedded in a microstrip superconducting microwave resonator.
Fig. 2: Non-linearity of a microwave resonator with an embedded graphene Josephson junction.
Fig. 3: Parametric amplification in a microwave resonator with an embedded graphene Josephson junction.
Fig. 4: Performance of the resonant Josephson parametric amplifier.

Similar content being viewed by others

Data availability

The data that support the findings of this study are available in Zenodo with the identifier https://doi.org/10.5281/zenodo.7025633.

References

  1. Schoelkopf, R. J. & Girvin, S. M. Wiring up quantum systems. Nature 451, 664 (2008).

    Article  CAS  Google Scholar 

  2. Castellanos-Beltran, M. A. & Lehnert, K. W. Widely tunable parametric amplifier based on a superconducting quantum interference device array resonator. Appl. Phys. Lett. 91, 083509 (2007).

    Article  Google Scholar 

  3. Castellanos-Beltran, M. A., Irwin, K. D., Hilton, G. C., Vale, L. R. & Lehnert, K. W. Amplification and squeezing of quantum noise with a tunable Josephson metamaterial. Nature Phys. 4, 929 (2008).

    Article  Google Scholar 

  4. Vijay, R., Slichter, D. H. & Siddiqi, I. Observation of quantum jumps in a superconducting artificial atom. Phys. Rev. Lett. 106, 110502 (2011).

    Article  CAS  Google Scholar 

  5. Teufel, J. D., Donner, T., Castellanos-Beltran, M. A., Harlow, J. W. & Lehnert, K. W. Nanomechanical motion measured with an imprecision below that at the standard quantum limit. Nature Nanotech. 4, 820 (2009).

    Article  CAS  Google Scholar 

  6. Walter, T. et al. Rapid high-fidelity single-shot dispersive readout of superconducting qubits. Phys. Rev. Appl. 7, 054020 (2017).

    Article  Google Scholar 

  7. Backes, K. M. et al. A quantum enhanced search for dark matter axions. Nature 590, 238 (2021).

    Article  CAS  Google Scholar 

  8. de Lange, G. et al. Realization of microwave quantum circuits using hybrid superconducting-semiconducting nanowire Josephson elements. Phys. Rev. Lett. 115, 127002 (2015).

    Article  Google Scholar 

  9. Larsen, T. W. et al. Semiconductor-nanowire-based superconducting qubit. Phys. Rev. Lett. 115, 127001 (2015).

    Article  CAS  Google Scholar 

  10. Casparis, L. et al. Superconducting gatemon qubit based on a proximitized two-dimensional electron gas. Nature Nanotech. 13, 915 (2018).

    Article  CAS  Google Scholar 

  11. Mergenthaler, M. et al. Circuit quantum electrodynamics with carbon-nanotube-based superconducting quantum circuits. Phys. Rev. Appl. 15, 064050 (2021).

    Article  CAS  Google Scholar 

  12. Schmidt, F. E., Jenkins, M. D., Watanabe, K., Taniguchi, T. & Steele, G. A. A ballistic graphene superconducting microwave circuit. Nature Commun. 9, 4069 (2018).

    Article  Google Scholar 

  13. Wang, J. I. et al. Coherent control of a hybrid superconducting circuit made with graphene-based van der Waals heterostructures. Nature Nanotech. 14, 120 (2019).

    Article  CAS  Google Scholar 

  14. Sikivie, P. Invisible axion search methods. Rev. Mod. Phys. 93, 015004 (2021).

    Article  CAS  Google Scholar 

  15. Zimmer, H. Parametric amplification of microwaves in superconducting josephson tunnel junctions. Appl. Phys. Lett. 10, 193 (1967).

    Article  CAS  Google Scholar 

  16. Park, J. et al. Short ballistic Josephson coupling in planar graphene junctions with inhomogeneous carrier doping. Phys. Rev. Lett. 120, 077701 (2018).

    Article  CAS  Google Scholar 

  17. Nanda, G. et al. Current-phase relation of ballistic graphene josephson junctions. Nano Lett. 17, 3396 (2017).

    Article  CAS  Google Scholar 

  18. Schmidt, F. E., Jenkins, M. D., Watanabe, K., Taniguchi, T. & Steele, G. A. Probing the current-phase relation of graphene Josephson junctions using microwave measurements. Preprint at https://arxiv.org/abs/2007.09795 (2020).

  19. Haller, R. et al. Phase-dependent microwave response of a graphene Josephson junction. Phys. Rev. Research 4, 013198 (2022) https://doi.org/10.1103/PhysRevResearch.4.013198

  20. Yurke, B. & Buks, E. Performance of cavity-parametric amplifiers, employing Kerr nonlinearites, in the presence of two-photon loss. J. Lightw. Techn. 24, 5054 (2006).

    Article  Google Scholar 

  21. Mutus, J. Y. et al. Design and characterization of a lumped element single-ended superconducting microwave parametric amplifier with on-chip flux bias line. Appl. Phys. Lett. 103, 122602 (2013).

    Article  Google Scholar 

  22. Planat, L. et al. Understanding the saturation power of Josephson parametric amplifiers made from SQUID arrays. Phys. Rev. Appl. 11, 034014 (2019).

    Article  CAS  Google Scholar 

  23. Eichler, C. & Wallraff, A. Controlling the dynamic range of a Josephson parametric amplifier. EPJ Quant. Techn. 1, 2 (2014).

    Article  Google Scholar 

  24. Macklin, C. et al. A near quantum-limited Josephson traveling-wave parametric amplifier. Science 350, 307 (2015).

    Article  CAS  Google Scholar 

  25. Yamamoto, T. et al. Flux-driven Josephson parametric amplifier. Appl. Phys. Lett. 93, 042510 (2008).

    Article  Google Scholar 

  26. Vissers, M. R. et al. Low-noise kinetic inductance traveling-wave amplifier using three-wave mixing. Appl. Phys. Lett. 108, 012601 (2016).

    Article  Google Scholar 

  27. Larsen, T. W. et al. Parity-protected superconductor-semiconductor qubit. Phys. Rev. Lett. 125, 056801 (2020).

    Article  CAS  Google Scholar 

  28. Lee, G.-H. et al. Graphene-based Josephson junction microwave bolometer. Nature 586, 42 (2020).

    Article  CAS  Google Scholar 

  29. Kokkoniemi, R. et al. Bolometer operating at the threshold for circuit quantum electrodynamics. Nature 586, 47 (2020).

    Article  CAS  Google Scholar 

  30. Antony, A. et al. Miniaturizing transmon qubits using van der Waals materials. Nano Letters 21, 10122 (2021).

    Article  CAS  Google Scholar 

  31. Wang, J. I. et al. Hexagonal boron nitride as a low-loss dielectric for superconducting quantum circuits and qubits. Nat. Materials 21, 398 (2022).

    Article  CAS  Google Scholar 

  32. Sarkar, J. et al. Quantum noise limited microwave amplification using a graphene josephson junction. Preprint at https://arxiv.org/abs/2204.02103 (2022).

  33. Wang, L. et al. One-dimensional electrical contact to a two-dimensional material. Science 342, 614 (2013).

    Article  CAS  Google Scholar 

Download references

Acknowledgements

We thank J. Aumentado and F. Lecocq (National Institute of Standards and Technology, Boulder, CO, USA) for providing the SNTJ and for discussions. This work was supported by the French National Research Agency (ANR) in the framework of the Graphmon project (grant no. ANR-19-CE47-0007). K.W. and T.T. acknowledge support from JSPS KAKENHI (grant nos. 19H05790, 20H00354 and 21H05233). J.R. acknowledges E. Eyraud and W. Wernsdorfer for help with the cryogenic system. We acknowledge the work of J. Jarreau, L. Del-Rey and D. Dufeu for the design and fabrication of the sample holders and other mechanical pieces used in the cryogenic system. We thank the Nanofab group at Institut Néel for help with device fabrication. We thank K.W. Murch and B. Sacépé for discussions and comments on the manuscript.

Author information

Authors and Affiliations

Authors

Contributions

K.W. and T.T. grew the h-BN crystals. G.B. and J.R. designed the samples. G.B. and N.A. fabricated the devices. G. B., A.J. and J.R. performed d.c. measurements. G.B. performed the microwave measurements with help from K.R.A. and J.R. Noise measurements were realized by G.B., A.R. and M.E. with help from N.R. and J.R. Data analysis was performed by G.B. with help from A.R., N.R. and J.R. The project was supervised by F.L. and J.R. G.B. prepared the figures of the manuscript. J.R. wrote the manuscript with input from all authors.

Corresponding author

Correspondence to Julien Renard.

Ethics declarations

Competing interests

N.R. is founder and shareholder of Silent Waves.

Peer review

Peer review information

Nature Nanotechnology thanks Kin Chung Fong, Zhuoqun Hao and the other, anonymous, reviewer(s) for their contribution to the peer review of this work.

Additional information

Publisher’s note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Extended data

Extended Data Fig. 1 Design of the device.

a) Schematic of the device (to scale). A resonator (purple) is capacitively coupled to a transmission line (red) as shown in the left inset. A side gate (green) is used to tune the graphene Josephson junction (gJJ) (located in the center of the resonator) critical current. The right inset shows an optical picture of the gJJ. Additional lines (blue) are connected close to the center of the resonator to perform d.c. measurements on the gJJ. They are located 20 μm away from the junction. Lines between the pads and the thick lines are bonding wires. (b) Phase of S11 measured and fitted for a bare device where the gJJ is replaced by a short between the two parts of the resonator.

Extended Data Fig. 2 Graphene Josephson junction d.c. properties.

(a) Differential conductance with respect to the bias voltage. The dark line indicates the position of the first multiple Andreev reflection (MAR) peak at a voltage value of 2Δ/e. (b) Differential resistance as a function of the gate voltage measured at 25 mK with a bias current of 7μA. (c) eRnIc/Δ product with respect to the gate voltage.

Extended Data Fig. 3 Experimental setups.

Noise measurement setup (a) and d.c. measurement setup (b). Both the setups use a dilution fridge and allow for standard microwave measurements.

Extended Data Fig. 4 Added noise of the graphene Josephson parametric amplifier.

(a) and (b) extracted added noise with respect to the frequency. The blue curve represents the extracted added noise from the graphene Josephson parametric amplifier (gJPA) measurement. The purple curve represents the added noise extracted by the printed circuit board (PCB) measurement, that is, the chain noise without the JPA. The red curve represents the added noise computed from the added noise extracted by the PCB measurement and the measured gain of the gJPA in the limit where the JPA does not add noise, that is, the expected noise at the standard quantum limit (SQL).

Supplementary information

Supplementary Information

Supplementary Figs. 1–11 and Discussion (Sections 1–6).

Rights and permissions

Springer Nature or its licensor holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Butseraen, G., Ranadive, A., Aparicio, N. et al. A gate-tunable graphene Josephson parametric amplifier. Nat. Nanotechnol. 17, 1153–1158 (2022). https://doi.org/10.1038/s41565-022-01235-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1038/s41565-022-01235-9

This article is cited by

Search

Quick links

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing