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  • Open Access

Demonstration of Efficient Nonreciprocity in a Microwave Optomechanical Circuit*

G. A. Peterson, F. Lecocq, K. Cicak, R. W. Simmonds, J. Aumentado, and J. D. Teufel

  • National Institute of Standards and Technology, 325 Broadway, Boulder, Colorado 80305, USA

  • Corresponding author. john.teufel@nist.gov

Phys. Rev. X 7, 031001 – Published 6 July, 2017

DOI: https://doi.org/10.1103/PhysRevX.7.031001

Abstract

The ability to engineer nonreciprocal interactions is an essential tool in modern communication technology as well as a powerful resource for building quantum networks. Aside from large reverse isolation, a nonreciprocal device suitable for applications must also have high efficiency (low insertion loss) and low output noise. Recent theoretical and experimental studies have shown that nonreciprocal behavior can be achieved in optomechanical systems, but performance in these last two attributes has been limited. Here, we demonstrate an efficient, frequency-converting microwave isolator based on the optomechanical interactions between electromagnetic fields and a mechanically compliant vacuum-gap capacitor. We achieve simultaneous reverse isolation of more than 20 dB and insertion loss less than 1.5 dB. We characterize the nonreciprocal noise performance of the device, observing that the residual thermal noise from the mechanical environments is routed solely to the input of the isolator. Our measurements show quantitative agreement with a general coupled-mode theory. Unlike conventional isolators and circulators, these compact nonreciprocal devices do not require a static magnetic field, and they allow for dynamic control of the direction of isolation. With these advantages, similar devices could enable programmable, high-efficiency connections between disparate nodes of quantum networks, even efficiently bridging the microwave and optical domains.

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Physics Subject Headings (PhySH)

  • *This article is a contribution of the U.S. Government, not subject to U.S. copyright.

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References (39)

  1. D. Jalas, A. Petrov, M. Eich, W. Freude, S. Fan, Z. Yu, R. Baets, M. Popović, A. Melloni, J. D. Joannopoulos, M. Vanwolleghem, C. R. Doerr, and H. Renner, What Is—and What Is Not—an Optical Isolator, Nat. Photonics 7, 579 (2013).
  2. H. J. Kimble, The Quantum Internet, Nature (London) 453, 1023 (2008).
  3. D. Polder, On the Theory of Ferromagnetic Resonance, Physica (Amsterdam) 15, 253 (1949).
  4. C. L. Hogan, The Ferromagnetic Faraday Effect at Microwave Frequencies and Its Applications, Bell Syst. Tech. J. 31, 1 (1952).
  5. L. J. Aplet and J. W. Carson, A Faraday Effect Optical Isolator, Appl. Opt. 3, 544 (1964).
  6. N. Roch, E. Flurin, F. Nguyen, P. Morfin, P. Campagne-Ibarcq, M. H. Devoret, and B. Huard, Widely Tunable, Nondegenerate Three-Wave Mixing Microwave Device Operating Near the Quantum Limit, Phys. Rev. Lett. 108, 147701 (2012).
  7. W. F. Kindel, M. D. Schroer, and K. W. Lehnert, Generation and Efficient Measurement of Single Photons from Fixed-Frequency Superconducting Qubits, Phys. Rev. A 93, 033817 (2016).
  8. J. B. Clark, F. Lecocq, R. W. Simmonds, J. Aumentado, and J. D. Teufel, Observation of Strong Radiation Pressure Forces from Squeezed Light on a Mechanical Oscillator, Nat. Phys. 12, 683 (2016).
  9. 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).
  10. A. Kamal, A. Roy, J. Clarke, and M. H. Devoret, Asymmetric Frequency Conversion in Nonlinear Systems Driven by a Biharmonic Pump, Phys. Rev. Lett. 113, 247003 (2014).
  11. 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).
  12. J. Kerckhoff, K. Lalumière, B. J. Chapman, A. Blais, and K. W. Lehnert, On-Chip Superconducting Microwave Circulator from Synthetic Rotation, Phys. Rev. Applied 4, 034002 (2015).
  13. K. M. Sliwa, M. Hatridge, A. Narla, S. Shankar, L. Frunzio, R. J. Schoelkopf, and M. H. Devoret, Reconfigurable Josephson Circulator/Directional Amplifier, Phys. Rev. X 5, 041020 (2015).
  14. C. Macklin, K. O’Brien, D. Hover, M. E. Schwartz, V. Bolkhovsky, X. Zhang, W. D. Oliver, and I. Siddiqi, A Near-Quantum-Limited Josephson Traveling-Wave Parametric Amplifier, Science 350, 307 (2015).
  15. A. Metelmann and A. A. Clerk, Nonreciprocal Photon Transmission and Amplification via Reservoir Engineering, Phys. Rev. X 5, 021025 (2015).
  16. M. S. Kang, A. Butsch, and P. St. J. Russell, Reconfigurable Light-Driven Opto-Acoustic Isolators in Photonic Crystal Fibre, Nat. Photonics 5, 549 (2011).
  17. L. Ranzani and J. Aumentado, Graph-Based Analysis of Nonreciprocity in Coupled-Mode Systems, New J. Phys. 17, 023024 (2015).
  18. B. Abdo, K. Sliwa, L. Frunzio, and M. Devoret, Directional Amplification with a Josephson Circuit, Phys. Rev. X 3, 031001 (2013).
  19. A. Kamal, J. Clarke, and M. H. Devoret, Noiseless Non-Reciprocity in a Parametric Active Device, Nat. Phys. 7, 311 (2011).
  20. F. Lecocq, L. Ranzani, G. A. Peterson, K. Cicak, R. W. Simmonds, J. D. Teufel, and J. Aumentado, Nonreciprocal Microwave Signal Processing with a Field-Programmable Josephson Amplifier, Phys. Rev. Applied 7, 024028 (2017).
  21. M. Hafezi and P. Rabl, Optomechanically Induced Non-Reciprocity in Microring Resonators, Opt. Express 20, 7672 (2012).
  22. X.-W. Xu, Y. Li, A.-X. Chen, and Y.-X. Liu, Nonreciprocal Conversion between Microwave and Optical Photons in Electro-Optomechanical Systems, Phys. Rev. A 93, 023827 (2016).
  23. Z. Shen, Y.-L. Zhang, Y. Chen, C.-L. Zou, Y.-F. Xiao, X.-B. Zou, F.-W. Sun, G.-C. Guo, and C.-H. Dong, Experimental Realization of Optomechanically Induced Non-Reciprocity, Nat. Photonics 10, 657 (2016).
  24. F. Ruesink, M. Miri, A. Alù, and E. Verhagen, Nonreciprocity and Magnetic-Free Isolation Based on Optomechanical Interactions, Nat. Commun. 7, 13662 (2016).
  25. K. Fang, J. Luo, A. Metelmann, M. H. Matheny, F. Marquardt, A. A. Clerk, and O. Painter, Generalized Non-Reciprocity in an Optomechanical Circuit via Synthetic Magnetism and Reservoir Engineering, Nat. Phys. 13, 465 (2017).
  26. F. Lecocq, J. B. Clark, R. W. Simmonds, J. Aumentado, and J. D. Teufel, Mechanically Mediated Microwave Frequency Conversion in the Quantum Regime, Phys. Rev. Lett. 116, 043601 (2016).
  27. Y. Liu, M. Davanço, V. Aksyuk, and K. Srinivasan, Electromagnetically Induced Transparency and Wideband Wavelength Conversion in Silicon Nitride Microdisk Optomechanical Resonators, Phys. Rev. Lett. 110, 223603 (2013).
  28. Q. Li, M. Davanço, and K. Srinivasan, Efficient and Low-Noise Single-Photon-Level Frequency Conversion Interfaces Using Silicon Nanophotonics, Nat. Photonics 10, 406 (2016).
  29. R. W. Andrews, R. W. Peterson, T. P. Purdy, K. Cicak, R. W. Simmonds, C. A. Regal, and K. W. Lehnert, Bidirectional and Efficient Conversion between Microwave and Optical Light, Nat. Phys. 10, 321 (2014).
  30. M. Aspelmeyer, T. J. Kippenberg, and F. Marquardt, Cavity Optomechanics, Rev. Mod. Phys. 86, 1391 (2014).
  31. W. H. Louisell, Coupled Mode and Parametric Electronics (Wiley, New York, 1960).
  32. C. W. Gardiner and M. J. Collett, Input and Output in Damped Quantum System: Quantum Stochastic Differential Equations and the Master Equation, Phys. Rev. A 31, 3761 (1985).
  33. K. Cicak, D. Li, J. A. Strong, M. S. Allman, F. Altomare, A. J. Sirois, J. D. Whittaker, J. D. Teufel, and R. W. Simmonds, Low-Loss Superconducting Resonant Circuits Using Vacuum-Gap-Based Microwave Components, Appl. Phys. Lett. 96, 093502 (2010).
  34. J. D. Teufel, D. Li, M. S. Allman, K. Cicak, A. J. Sirois, J. D. Whittaker, and R. W. Simmonds, Circuit Cavity Electromechanics in the Strong-Coupling Regime, Nature (London) 471, 204 (2011).
  35. F. Lecocq, J. D. Teufel, J. Aumentado, and R. W. Simmonds, Resolving the Vacuum Fluctuations of an Optomechanical System Using an Artificial Atom, Nat. Phys. 11, 635 (2015).
  36. A. Kamal and A. Metelmann, Minimal Models for Nonreciprocal Amplification Using Biharmonic Drives, Phys. Rev. Applied 7, 034031 (2017).
  37. N. R. Bernier, L. D. Tóth, A. Koottandavida, A. Nunnenkamp, A. K. Feofanov, and T. J. Kippenberg, Nonreciprocal Reconfigurable Microwave Optomechanical Circuit, arXiv:1612.08223.
  38. 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).
  39. J. D. Teufel, T. Donner, D. Li, J. W. Harlow, M. S. Allman, K. Cicak, A. J. Sirois, J. D. Whittaker, K. W. Lehnert, and R. W. Simmonds, Sideband Cooling of Micromechanical Motion to the Quantum Ground State, Nature (London) 475, 359 (2011).

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