The pumpistor: A linearized model of a flux-pumped superconducting quantum interference device for use as a negative-resistance parametric amplifier

Applied Physics Letters

Volumn 103, Issue 10, 2013, Pages

  Sundqvist, K M ^a   Kintas S ^a   Simoen, M ^a   Krantz, P ^a   Sandberg, M ^b   Wilson, C M ^a,c   Delsing, P ^a  

^a CHALMERS UNIVERSITY OF TECHNOLOGY   (Sweden)

^b NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY   (United States)

^c UNIVERSITY OF WATERLOO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ACTIVE ELEMENTS; CIRCUIT MODELING; COMPLICATED CIRCUITS; DEGENERATE CASE; FREQUENCY MIXING; LINEARIZED MODELS; SIGNAL PHASE;

MOLLUSCS; NEGATIVE RESISTANCE; PARAMETRIC AMPLIFIERS; SHELLFISH; SUPERCONDUCTING DEVICES;

SQUIDS;

EID: 84884224349     PISSN: 00036951     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.4819881     Document Type: Article

References (24)

1. S. Wahlsten, S. Rudner, and T. Claeson, Appl. Phys. Lett. 30, 298 (1977). 10.1063/1.89381
2. B. Yurke, L. R. Corruccini, P. G. Kaminsky, L. W. Rupp, A. D. Smith, A. H. Silver, R. W. Simon, and E. A. Whittaker, Phys. Rev. A 39, 2519 (1989). 10.1103/PhysRevA.39.2519
3. T. Yamamoto, K. Inomata, M. Watanabe, K. Matsuba, T. Miyazaki, W. D. Oliver, Y. Nakamura, and J. S. Tsai, Appl. Phys. Lett. 93, 042510 (2008). 10.1063/1.2964182
4. M. A. Castellanos-Beltran and K. W. Lehnert, Appl. Phys. Lett. 91, 083509 (2007). 10.1063/1.2773988
5. C. M. Wilson, T. Duty, and P. Delsing, in Fluctuating Nonlinear Oscillators, edited by, M. Dykman, (Oxford University Press, Oxford, 2012).
6. N. Bergeal, F. Schackert, M. Metcalfe, R. Vijay, V. E. Manucharyan, L. Frunzio, D. E. Prober, R. J. Schoelkopf, S. M. Girvin, and M. H. Devoret, Nature 465, 64 (2010). 10.1038/nature09035
7. M. Hatridge, R. Vijay, D. H. Slichter, J. Clarke, and I. Siddiqi, Phys. Rev. B 83, 134501 (2011). 10.1103/PhysRevB.83.134501
8. B. H. Eom, P. Day, and J. Zmuidzinas, Nat. Phys. 8, 623 (2012). 10.1038/nphys2356
9. B. Abdo, F. Schackert, M. Hatridge, C. Rigetti, and M. H. Devoret, Appl. Phys. Lett. 99, 162506 (2011). 10.1063/1.3653473
10. M. A. Castellanos-Beltran, K. D. Irwin, G. C. Hilton, L. R. Vale, and K. W. Lehnert, Nat. Phys. 4, 929 (2008). 10.1038/nphys1090
11. R. Vijay, C. Macklin, D. H. Slichter, S. J. Weber, K. W. Murch, R. Naik, A. N. Korotkov, and I. Siddiqi, Nature 490, 77 (2012) 10.1038/nature11505.
12. C. Eichler, C. Lang, J. M. Fink, J. Govenius, S. Filipp, and A. Wallraff, Phys. Rev. Lett. 109, 240501 (2012). 10.1103/PhysRevLett.109.240501
13. M. Sandberg, C. M. Wilson, F. Persson, T. Bauch, V. Shumeiko, G. Johansson, T. Duty, and P. Delsing, Appl. Phys. Lett. 92, 203501 (2008). 10.1063/1.2929367
14. C. M. Wilson, G. Johansson, A. Pourkabirian, M. Simoen, J. R. Johansson, F. Nori, and P. Delsing, Nature 479, 376 (2011) 10.1038/nature10561.
15. L. A. Blackwell and K. L. Kotzebue, Semiconductor-Diode Parametric Amplifiers (Prentice Hall, Englewood Cliffs, 1961).
16. J. C. Decroly, Parametric Amplifiers (Wiley, New York, 1973).
17. D. P. Howson and R. B. Smith, Parametric Amplifiers (McGraw-Hill, London, 1970).
18. A. A. Clerk, M. H. Devoret, S. M. Girvin, F. Marquardt, and R. J. Schoelkopf, Rev. Mod. Phys. 82, 1155 (2010). 10.1103/RevModPhys.82.1155
19. P. Lähteenmäki, V. Vesterinen, J. Hassel, H. Seppä, and P. Hakonen, Sci. Rep. 2, 276 (2012) 10.1038/srep00276.
20. I. Kovacic and M. J. Brennan, The Duffing Equation: Nonlinear Oscillators and their Behaviour (Wiley, New York, 2011).
21. K. Wiesenfeld, E. Knobloch, R. F. Miracky, and J. Clarke, Phys. Rev. A 29, 2102 (1984). 10.1103/PhysRevA.29.2102
22. C. M. Wilson, T. Duty, M. Sandberg, F. Persson, V. Shumeiko, and P. Delsing, Phys. Rev. Lett. 105, 233907 (2010). 10.1103/PhysRevLett.105.233907
23. W. Wustmann and V. Shumeiko, Phys. Rev. B 87, 184501 (2013). 10.1103/PhysRevB.87.184501
24. M. I. Dykman, C. M. Maloney, V. N. Smelyanskiy, and M. Silverstein, Phys. Rev. E 57, 5202 (1998). 10.1103/PhysRevE.57.5202