Nonlinear resonant behavior of a dispersive readout circuit for a superconducting flux qubit

Physical Review B - Condensed Matter and Materials Physics

Volumn 75, Issue 14, 2007, Pages

  Lee, Janice C ^a   Oliver, William D ^b   Berggren, Karl K ^b,c   Orlando, T P ^a  

^a USA   (United States)

^b MIT LINCOLN LABORATORY   (United States)

^c MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34247106683     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.75.144505     Document Type: Article

References (38)

1. Y. Makhlin, G. Schön, and A. Shnirman, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.73.357 73, 357 (2001).
2. J. Clarke, A. N. Cleland, M. H. Devoret, D. Esteve, and J. H. Martinis, Science SCIEAS 0036-8075 10.1126/science.239.4843.992 239, 992 (1988).
3. J. R. Friedman, V. Patel, W. Chen, S. K. Tolpygo, and J. E. Lukens, Nature (London) NATUAS 0028-0836 10.1038/35017505 406, 43 (2000).
4. C. H. van der Wal, A. C. J. ter Haar, F. K. Wilhelm, R. N. Schouten, C. J. P. M. Harmans, T. P. Orlando, S. Lloyd, and J. E. Mooij, Science SCIEAS 0036-8075 10.1126/science.290.5492.773 290, 773 (2000).
5. Y. Nakamura, Yu. A. Pashkin, and J. S. Tsai, Nature (London) NATUAS 0028-0836 10.1038/19718 398, 786 (1999).
6. I. Chiorescu, Y. Nakamura, C. J. P. M. Harmans, and J. E. Mooij, Science SCIEAS 0036-8075 10.1126/science.1081045 299, 1869 (2003).
7. T. Kutsuzawa, H. Tanaka, S. Saito, H. Nakano, K. Semba, and H. Takayanagi, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.2010610 87, 073501 (2005).
8. B. L. T. Plourde, T. L. Robertson, P. A. Reichardt, T. Hime, S. Linzen, C.-E. Wu, and John Clarke, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.72. 060506 72, 060506 (R) (2005).
9. Y. Yu, S. Han, X. Chu, S. Chu, and Z. Wang, Science SCIEAS 0036-8075 10.1126/science.1069452 296, 889 (2002).
10. J. M. Martinis, S. Nam, J. Aumentado, and C. Urbina, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.117901 89, 117901 (2002).
11. D. Vion, A. Aassime, A. Cottet, P. Joyez, H. Pothier, C. Urbina, D. Esteve, and M. H. Devoret, Science SCIEAS 0036-8075 10.1126/science.1069372 296, 886 (2002).
12. I. Chiorescu, P. Bertet, K. Semba, Y. Nakamura, C. J. P. M. Harmans, and J. E. Mooij, Nature (London) NATUAS 0028-0836 431, 159 (2004).
13. A. Wallraff, D. I. Schuster, A. Blais, L. Frunzio, R.-S. Huang, J. Majer, S. Kumar, S. M. Girvin, and R. J. Schoelkopf, Nature (London) NATUAS 0028-0836 10.1038/nature02851 431, 162 (2004).
14. J. Johansson, S. Saito, T. Meno, H. Nakano, M. Ueda, K. Semba, and H. Takayanagi, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.127006 96, 127006 (2006).
15. W. D. Oliver, Y. Yu, J. C. Lee, K. K. Berggren, L. S. Levitov, and T. P. Orlando, Science SCIEAS 0036-8075 10.1126/science.1119678 310, 1653 (2005).
16. M. Sillanpää, T. Lehtinen, A. Paila, Yu. Makhlin, and P. Hakonen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.187002 96, 187002 (2006).
17. D. M. Berns, W. D. Oliver, S. O. Valenzuela, A. V. Shytov, K. K. Berggren, L. S. Levitov, and T. P. Orlando, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.150502 97, 150502 (2006).
18. Yu. A. Pashkin, T. Yamamoto, O. Astafiev, Y. Nakamura, D. V. Averin, and J. S. Tsai, Nature (London) NATUAS 0028-0836 10.1038/nature01365 421, 823 (2003).
19. A. J. Berkley, H. Xu, R. C. Ramos, M. A. Gubrud, F. W. Strauch, P. R. Johnson, J. R. Anderson, A. J. Dragt, C. J. Lobb, and F. C. Wellstood, Science SCIEAS 0036-8075 10.1126/science.1084528 300, 1548 (2003).
20. T. Yamamoto, Yu. A. Pashkin, O. Astafiev, Y. Nakamura, and J. S. Tsai, Nature (London) NATUAS 0028-0836 10.1038/nature02015 425, 941 (2003).
21. A. Lupascu, E. F. C. Driessen, L. Roschier, C. J. P. M. Harmans, and J. E. Mooij, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.127003 96, 127003 (2006).
22. M. Grajcar, A. Izmalkov, E. Il'ichev, Th. Wagner, N. Oukhanski, U. Hübner, T. May, I. Zhilyaev, H. E. Hoenig, Ya. S. Greenberg, V. I. Shnyrkov, D. Born, W. Krech, H.-G. Meyer, Alec Maassen van den Brink, and M. H. S. Amin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.69.060501 69, 060501 (R) (2004).
23. A. Wallraff, D. I. Schuster, A. Blais, L. Frunzio, J. Majer, M. H. Devoret, S. M. Girvin, and R. J. Schoelkopf, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.060501 95, 060501 (2005).
24. I. Siddiqi, R. Vijay, M. Metcalfe, E. Boaknin, L. Frunzio, R. J. Schoelkopf, and M. H. Devoret, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73.054510 73, 054510 (2006).
25. B. Abdo, E. Segev, O. Shtempluck, and E. Buks, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.73.134513 73, 134513 (2006).
26. C. C. Chin, D. E. Oates, G. Dresselhaus, and M. S. Dresselhaus, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.45.4788 45, 4788 (1992).
27. J. E. Mooij, T. P. Orlando, L. Levitov, L. Tian, C. van der Wal, and S. Lloyd, Science SCIEAS 0036-8075 10.1126/science.285.5430.1036 285, 1036 (1999).
28. T. P. Orlando, J. E. Mooij, L. Tian, C. H. van der Wal, L. Levitov, S. Lloyd, and J. J. Mazo, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.60.15398 60, 15398 (1999).
29. J. C. Lee, Ph. D. thesis, MIT, 2006.
30. C. Bowick, RF Circuit Design (Newnes Press, Boston, MA, 1982).
31. K. Berggren, E. Macedo, D. Feld, and J. Sage, IEEE Trans. Appl. Supercond. ITASE9 1051-8223 10.1109/77.783727 9, 3271 (1999).
32. J. C. Lee, W. D. Oliver, T. P. Orlando, and K. K. Berggren, IEEE Trans. Appl. Supercond. ITASE9 1051-8223 10.1109/TASC.2005.850077 15, 841 (2005).
33. Steven H. Strogatz, Nonlinear Dynamics and Chaos (Addison-Wesley, Reading, MA, 1994).
34. A. H. Nayfeh and D. T. Mook, Nonlinear Oscillations (Wiley, New York, 1979).
35. F. Kouril and K. Vrba, Non-linear and Parametric Circuits, Principles, Theory and Applications (Wiley, New York, 1988).
36. L. D. Landau and E. M. Lifshitz, Mechanics (Pergamon, New York, 1960).
37. A. Barone and G. Paterno, Physics and Applications of the Josephson Effect (Wiley, New York, 1982).
38. T. Holst and J. Bindslev Hansen, Physica B PHYBE3 0921-4526 165-166, 1649 (1990).