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Open Systems and Information Dynamics

, Volume 14, Issue 2, pp 189–196 | Cite as

Simulating Ramsey-Type Fringes in a Pulsed Microwave-Driven Classical Josephson Junction

  • Jeffrey E. Marchese
  • Matteo Cirillo
  • Niels Grøch-Jensen
Article
  • 16 Downloads

Abstract

We present evidence for a close analogy between the nonlinear behaviour of a pulsed microwave-driven Josephson junction at low temperature and the experimentally observed behaviour of Josephson systems operated below the quantum transition temperature under similar conditions. We specifically address observations of Ramsey-type fringe oscillations, which can be understood in classical nonlinear dynamics as results of slow transient oscillations in a pulsed microwave environment. Simulations are conducted to mimic experimental measurements by recording the statistics of microwave-induced escape events from the anharmonic potential well of a zero-voltage state. Observations consistent with experimentally obtained Ramsey-type oscillations are found in the classical model.

Keywords

Josephson Junction Microwave Frequency Probe Pulse Microwave Pulse Dissipation Parameter 
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References

  1. A. Leggett, B. Ruggiero, and P. Silvestrini, eds., Quantum Computing and Quantum Bits in Mesoscopic Systems, Kluwer Academic/Plenum Publishers, New York, 2004.Google Scholar
  2. D. Vion, A. Aasime, A. Cottet, P. Joyez, H. Pothier, C. Urbina, D. Esteve, and M. H. Devoret, Science 296, 886 (2002).Google Scholar
  3. Martinis J.M., Nam S., Aumentado (2002) J. Phys. Rev. Lett. 89: 117901CrossRefADSGoogle Scholar
  4. D. Vion, A. Aasime, A. Cottet, P. Joyez, H. Pothier, C. Urbina, D. Esteve, and M. H. Devoret, Fortschr. Phys. 51, 462 (2003).Google Scholar
  5. J. M. Martinis, S. Nam, J. Aumentado, K. M. Lang, Phys. Rev. B 67, 094510 (2003).Google Scholar
  6. I. Chiorescu, Y. Nakamura, C. J. P. M. Harmans, J. E. Mooij, Science 299, 1869 (2003).Google Scholar
  7. J. Claudon, F. Balestro, F. W. J. Hekking, O. Buisson, Phys. Rev. Lett. 93, 187003 (2004).Google Scholar
  8. T. Kutsuzawa, H. Tanaka, S. Saito, H. Nakano, K. Semba, H. Takayanagi, Appl. Phys. Lett. 87, 073501 (2005).Google Scholar
  9. A. Wallraff, D. I. Schuster, A. Blais, L. Frunzio, J. Majer, M. Devoret, S. M. Girvin, R. J. Schoelkopf, Phys. Rev. Lett. 95, 060501 (2005).Google Scholar
  10. B. L. T. Plourde, T. L. Robertson, P. A. Reichart, T. Hime, S. Linzen, C. Wu, J. Clarke, Phys. Rev. B 72, 060506 (2005).Google Scholar
  11. R. H. Koch, J. R. Rozen, G. A. Keefe, F. M. Milliken, C. C. Tsuei, J. R. Kirtley, D. P. DiVincenzo, Phys. Rev. B 72, 092512 (2005).Google Scholar
  12. R. W. Simmonds, K. M. Lang, D. A. Hite, S. Nam, D. P. Pappas, and J. M. Martinis, Phys. Rev. Lett. 93, 077003 (2004).Google Scholar
  13. A. Wallraff, A. Lukashenko, A. V. Ustinov, Phys. Rev. Lett. 90, 037003 (2003).Google Scholar
  14. N. Grøch-Jensen, M. G. Castellano, F. Chiarello, M. Cirillo, C. Cosmelli, L. V. Filippenko, R. Russo, and G. Torrioli, Phys. Rev. Lett. 93, 107002 (2004).Google Scholar
  15. Rabi I.I. (1937) . Phys. Rev. Lett. 51: 652MATHADSGoogle Scholar
  16. N. F. Ramsey, Phys. Rev. 78, 695 (1950).Google Scholar
  17. N. Grønbech-Jensen, M. G. Castellano, F. Chiarello, M. Cirillo, C. Cosmelli, V. Merlo, R. Russo, and G. Torrioli, in: Quantum Computation in Solid State Systems, B. Ruggierio, P. Delsing, C. Granata, Y. Paskin, and P. Silvestrini, eds., Springer, New York, 2006, pp. 111–119.Google Scholar
  18. N. Grønbech-Jensen and M. Cirillo, Phys. Rev. Lett. 95, 067001 (2005).Google Scholar
  19. J. E. Marchese, M. Cirillo, N. Grøch-Jensen, Phys. Rev. B 74, 174507 (2006).Google Scholar
  20. A. Barone and G. Paternó, Physics and Applications of the Josephson Effect, Wiley, New York, 1982.Google Scholar
  21. G. Parisi, Statistical Field Theory, Addison-Wesley, Redding, MA, 1988.Google Scholar
  22. J. E. Marchese, M. Cirillo, N. Grønbech-Jensen, to be published.Google Scholar

Copyright information

© Springer Science+Business Media B.V. 2007

Authors and Affiliations

  • Jeffrey E. Marchese
    • 1
  • Matteo Cirillo
    • 2
  • Niels Grøch-Jensen
    • 1
  1. 1.Department of Applied ScienceUniversity of CaliforniaDavisUSA
  2. 2.Dipartimento di Fisica and INFMUniversità di Roma “Tor Vergata“RomaItaly

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