Physics: Mach-Zehnder interferometry in a strongly driven superconducting qubit

Science

Volumn 310, Issue 5754, 2005, Pages 1653-1657

  Oliver, William D ^a   Yu, Yang ^b   Lee, Janice C ^b   Berggren, Karl K ^b   Levitov, Leonid S ^c   Orlando, Terry P ^b  

^a MIT LINCOLN LABORATORY   (United States)

^b Massachusetts Institute of Technology ^*  (United States)

^c MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

MICROWAVES; QUANTUM INTERFERENCE DEVICES;

HARMONIC EXCITATION; MACH-ZEHENDER INTERFEROMETER; QUBIT PHASE SPACE;

SUPERCONDUCTING MATERIALS;

QUANTUM DOT;

SUPERCONDUCTIVITY;

ARTICLE; ATOM; CALCULATION; ENERGY; INTERFEROMETER; INTERFEROMETRY; MACH ZEHNDER INTERFEROMETRY; MATHEMATICAL ANALYSIS; MICROWAVE RADIATION; OPTICS; PHOTON; PHYSICS; PRIORITY JOURNAL; QUANTUM MECHANICS; TIME;

EID: 28844459004     PISSN: 00368075     EISSN: 10959203     Source Type: Journal    
DOI: 10.1126/science.1119678     Document Type: Article

References (32)

1. Y. Makhlin, C. Schön, A. Shnirman, Rev. Mod. Phys. 73, 3S7 (2001).
2. Y. Nakamura, Y. A. Pashkin, J. S. Tsai, Nature 398, 786 (1999).
3. J. R. Friedman, V. Patel, W. Chen, S. K. Tolpygo, J. E. Lukens, Nature 406, 43 (2000).
4. C. H. van der Wal et al., Science 290, 773 (2000).
5. Y. Nakamura, Y. A. Pashkin, J. S. Tsai, Phys. Rev. Lett. 87, 246601 (2001).
6. D. Vion et al., Science 296, 886 (2002).
7. Y. Yu, S. Man, X. Chu, S.-I. Chu, Z. Wang, Science 296, 889 (2002).
8. J. M. Martinis, S. Nam, J. Aumentado, C. Urbina, Phys. Rev. Lett. 89, 117901 (2002).
9. I. Chiorescu, Y. Nakamura, C. J. P. M. Harmans, J. E. Mooij, Science 299, 1869 (2003).
10. M. A. Nielsen, I. L. Chuang, Quantum Computation and Quantum Information (Cambridge Univ. Press, Cambridge, 2000).
11. A. J. Berkley et al., Science 300, 1S48 (2003).
12. J. Claudon, F. Balestro, F. W. J. Hekking, O. Buisson, Phys. Rev. Lett. 93, 187003 (2004).
13. I. Siddiqi et al, Phys. Rev. Lett. 93, 207002 (2004).
14. Y. A. Pashkin et al., Nature 421, 823 (2003).
15. T. Yamamoto, Y. A. Pashkin, O. Astafiev, Y. Nakamura, J. S. Tsai, Nature 425, 941 (2003).
16. R. McDermott et al., Science 307, 1299 (2005).
17. I. Chiorescu et al., Nature 431, 159 (2004).
18. A. Wallraff et al., Nature 431, 162 (2004).
19. A. V. Shytov, D. A. Ivanov, M. V. Feigel'man, Eur. Phys. J. B 36, 263 (2003); This article discusses the adiabatic Landau-Zener regime, corresponding to driving the system at low frequency ℏω ≪ Δ. In contrast, we operate at high frequencies, ℏω ≫ Δ, which leads to a number of differences, notably the multiphoton resonances.
20. M. C. Baruch, T. F. Callagher, Phys. Rev. Lett. 68, 3515 (1992).
21. S. Yoakum, L. Sirko, P. M. Koch, Phys. Rev. Lett. 69, 1919 (1992).
22. H. Nakamura, Nonadiabatic Transition (World Scientific, London, 2001).
23. Materials and methods are available as supporting material on Science Online.
24. Y. Nakamura, J. S. Tsai, J. Supercond. 12, 799 (1999).
25. S. Saito et al, (preprint available at http://arxiv.org/ abs/cond-mat/0508448).
26. Y. Yu et al. (preprint available at http://arxiv.org/abs/ cond-mat/0508587).
27. L. P. Kouwenhoven et al., Phys. Rev. Lett. 73, 3443 (1994).
28. T. Fujisawa, S. Tarucha, Jpn. J. Appl. Phys. 36, 4000 (1997).
29. S. Saito et al., Phys. Rev. Lett. 93, 037001 (2004).
30. T. P. Orlando et al., Phys. Rev. B 60, 15398 (1999).
31. rf. The proportionality constant can be inferred from the interference fringe spacing and the Bessel argument γ.
32. We thank V. Bolkhovsky, C. Fitch, D. Landers, E. Macedo, R. Slattery, and T. Weir at MIT Lincoln Laboratory; D. Berns, J. Habif, and D. Nakada at the MIT campus for technical assistance; and D. Cory, S. E. Harris, A. J. Kerman, and 5. Lloyd for helpful discussions. This work was supported by the Air Force Office of Scientific Research (F49620-01-1-0457) under the Defense University Research Initiative in Nano-technology program. The work at Lincoln Laboratory was sponsored by the U.S. Department of Defense under Air Force Contract no. FA8721-05-C-0002.