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On-Chip Superconducting Microwave Circulator from Synthetic Rotation

Joseph Kerckhoff1,*, Kevin Lalumière2, Benjamin J. Chapman1, Alexandre Blais2,3, and K. W. Lehnert1,4

  • 1JILA, University of Colorado, Boulder, Colorado 80309, USA
  • 2Département de Physique, Université de Sherbrooke, Sherbrooke, Québec, Canada J1K 2R1
  • 3Canadian Institute for Advanced Research, Toronto, Canada
  • 4National Institute of Standards and Technology, Boulder, Colorado 80305, USA

  • *Present address: HRL Laboratories, LLC, Malibu, CA 90265, USA. jakerckhoff@hrl.com

Phys. Rev. Applied 4, 034002 – Published 10 September, 2015

DOI: https://doi.org/10.1103/PhysRevApplied.4.034002

Abstract

We analyze a design for a microwave circulator which could replace many of the commercial ferrite circulators that are ubiquitous in contemporary quantum superconducting microwave experiments. The lossless, lumped-element design is capable of being integrated on chip with other superconducting microwave devices, thus circumventing the many performance-limiting aspects of ferrite circulators. The design is based on the dynamic modulation of dc superconducting microwave quantum interference devices that function as nearly linear, tunable inductors. The connection to familiar ferrite-based circulators is a simple frame boost in the internal dynamics’ equation of motion. In addition to the general, schematic analysis, we also give an overview of many considerations necessary to achieve a practical design with a tunable center frequency in the 4–8-GHz frequency band, a bandwidth of 240 MHz, reflections at the 20dB level, and a maximum signal power of approximately 100 microwave photons per inverse bandwidth.

Article Text

References (42)

  1. M. H. Devoret and R. J. Schoelkopf, Superconducting circuits for quantum information: An outlook, Science 339, 1169 (2013).
  2. C. E. Fay and R. L. Comstock, Operation of the ferrite junction circulator, IEEE Trans. Microwave Theory Tech. 13, 15 (1965).
  3. P. J. Allen, The turnstile circulator, IRE Trans. Microwave Theory Tech. 4, 223 (1956).
  4. B. A. Auld, The synthesis of symmetrical waveguide circulators, IRE Trans. Microwave Theory Tech. 7, 238 (1959).
  5. F. Mallet, M. A. Castellanos-Beltran, H. S. Ku, S. Glancy, E. Knill, K. D. Irwin, G. C. Hilton, L. R. Vale, and K. W. Lehnert, Quantum State Tomography of an Itinerant Squeezed Microwave Field, Phys. Rev. Lett. 106, 220502 (2011).
  6. K. W. Murch, S. J. Weber, K. M. Beck, E. Ginossar, and I. Siddiqi, Reduction of the radiative decay of atomic coherence in squeezed vacuum, Nature (London) 499, 62 (2013).
  7. A. Narla, K. M. Sliwa, M. Hatridge, S. Shankar, L. Frunzio, R. J. Schoelkopf, and M. H. Devoret, Wireless Josephson amplifier, Appl. Phys. Lett. 104, 232605 (2014).
  8. N. Roch, M. E. Schwartz, F. Motzoi, C. Macklin, R. Vijay, A. W. Eddins, A. N. Korotkov, K. B. Whaley, M. Sarovar, and I. Siddiqi, Observation of Measurement-Induced Entanglement and Quantum Trajectories of Remote Superconducting Qubits, Phys. Rev. Lett. 112, 170501 (2014).
  9. B. D. O. Anderson and R. W. Newcomb, On reciprocity and time-variable networks, Proc. IEEE 53, 1674 (1965).
  10. B. Anderson and R. Newcomb, The time-variable lattice and nonreciprocal rlc networks, IEEE Trans. Circuit Theory 13, 233 (1966).
  11. N. A. Estep, D. L. Sounas, J. Soric, and A. Alù, Magnetic-free non-reciprocity and isolation based on parametrically modulated coupled-resonator loops, Nat. Phys. 10, 923 (2014).
  12. S. Tanaka, N. Shimomura, and K. Ohtake, Active circulators; the realization of circulators using transistors, Proc. IEEE 53, 260 (1965).
  13. A. Kamal, J. Clarke, and M. H. Devoret, Noiseless non-reciprocity in a parametric active device, Nat. Phys. 7, 311 (2011).
  14. K. Fang, Z. Yu, and S. Fan, Realizing effective magnetic field for photons by controlling the phase of dynamic modulation, Nat. Photonics 6, 782 (2012).
  15. L. Ranzani and J. Aumentado, Graph-based analysis of nonreciprocity in coupled-mode systems, New J. Phys. 17, 023024 (2015).
  16. B. Abdo, K. Sliwa, S. Shankar, M. Hatridge, L. Frunzio, R. Schoelkopf, and M. Devoret, Josephson Directional Amplifier for Quantum Measurement of Superconducting Circuits, Phys. Rev. Lett. 112, 167701 (2014).
  17. A. A. Clerk, M. H. Devoret, S. M. Girvin, F. Marquardt, and R. J. Schoelkopf, Introduction to quantum noise, measurement, and amplification, Rev. Mod. Phys. 82, 1155 (2010).
  18. B. Yurke, L. R. Corruccini, P. G. Kaminsky, L. W. Rupp, A. D. Smith, A. H. Silver, R. W. Simon, and E. A. Whittaker, Observation of parametric amplification and deamplification in a Josephson parametric amplifier, Phys. Rev. A 39, 2519 (1989).
  19. K. M. Sliwa, M. Hatridge, A. Narla, S. Shankar, L. Frunzio, R. J. Schoelkopf, and M. H. Devoret, An integrated Josephson circulator and directional amplifier: The triple-pumped jpc, arXiv:1503.00209.
  20. J. Koch, A. A. Houck, K. L. Hur, and S. M. Girvin, Time-reversal-symmetry breaking in circuit-qed-based photon lattices, Phys. Rev. A 82, 043811 (2010).
  21. G. Viola and D. P. DiVincenzo, Hall Effect Gyrators and Circulators, Phys. Rev. X 4, 021019 (2014).
  22. A. Metelmann and A. A. Clerk, Nonreciprocal Photon Transmission and Amplification via Reservoir Engineering, Phys. Rev. X 5, 021025 (2015).
  23. B. D. Tellegen, The gyrator, a new electric network element, Philips Res. Rep. 3, 81 (1948).
  24. H. J. Carlin, in Proceedings of the Symposium on Modern Advances in Microwave Techniques, edited by J. Fox (Brooklyn: Polytechnic Inst., New York, NY, 1954), pp. 175–203.
  25. M. A. Castellanos-Beltran, K. D. Irwin, G. C. Hilton, L. R. Vale, and K. W. Lehnert, Amplification and squeezing of quantum noise with a tunable Josephson metamaterial, Nat. Phys. 4, 929 (2008).
  26. P. Penfield, Jr., Wave representation of amplifier noise, IRE Transactions on Circuit Theory 9, 84 (1962).
  27. N. Bergeal, R. Vijay, V. E. Manucharyan, I. Siddiqi, R. J. Schoelkopf, S. M. Girvin, and M. H. Devoret, Analog information processing at the quantum limit with a Josephson ring modulator, Nat. Phys. 6, 296 (2010).
  28. D. M. Pozar, Microwave Engineering (Wiley, Hoboken, NJ, 2011).
  29. B. Yurke and J. S. Denker, Quantum network theory, Phys. Rev. A 29, 1419 (1984).
  30. C. Gardiner and P. Zoller, Quantum Noise: A Handbook of Markovian and Non-Markovian Quantum Stochastic Methods with Applications to Quantum Optics (Springer, New York, 2004).
  31. J. E. Gough, M. R. James, and H. I. Nurdin, Squeezing components in linear quantum feedback networks, Phys. Rev. A 81, 023804 (2010).
  32. C. Turner and T. Van Duzer, Princples of Superconducting Devices and Circuits (Prentice-Hall, Upper Saddle River, NJ, 1999).
  33. M. H. Devoret, in Quantum Fluctuations in Electrical Circuits, Proceedings of the Les Houches Summer School, Session LXIII (Elsevier, Amsterdam, 1995).
  34. In which the Fourier transform of a function is defined as F[ω]=(1/2π)F(t)ejωtdt.

  35. This is because an ideal four-port network does not always have an admittance or impedance matrix representation [2].

  36. J. Gough (private communication).
  37. J. Y. Mutus, T. C. White, E. Jeffrey, D. Sank, R. Barends, J. Bochmann, Y. Chen, Z. Chen, B. Chiaro, A. Dunsworth, J. Kelly, A. Megrant, C. Neill, P. J. J. O’Malley, P. Roushan, A. Vainsencher, J. Wenner, I. Siddiqi, R. Vijay, A. N. Cleland, and J. M. Martinis, 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).
  38. R. M. Fano, Theoretical limitations on the broadband matching of arbitrary impedances, J. Franklin Inst. 249, 57 (1950).
  39. J. E. Sauvageau, C. J. Burroughs, P. A. A. Booi, M. W. Cromar, R. Benz, and J. Koch, Superconducting integrated circuit fabrication with low temperature ecr-based pecvd sio/sub 2/dielectric films, IEEE Trans. Appl. Supercond. 5, 2303 (1995).
  40. J. A. B. Mates, G. C. Hilton, K. D. Irwin, L. R. Vale, and K. W. Lehnert, Demonstration of a multiplexer of dissipationless superconducting quantum interference devices, Appl. Phys. Lett. 92, 023514 (2008).
  41. C. Eichler and A. Wallraff, Controlling the dynamic range of a Josephson parametric amplifier, Eur. Phys. J. Quant. Technol. 1, 1 (2014).
  42. K. Lalumière, J. Kerckhoff, B. J. Chapman, K. W. Lehnert, and A. Blais (to be published).

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