Vacuum Rabi splitting due to strong coupling of a flux qubit and a coplanar-waveguide resonator

Physical Review B - Condensed Matter and Materials Physics

Volumn 78, Issue 18, 2008, Pages

  Abdumalikov Jr , Abdufarrukh A ^a,d,e   Astafiev, Oleg ^a,b   Nakamura, Yasunobu ^a,b,c   Pashkin, Yuri A ^a,b,e   Tsai, JawShen ^a,b,c  

^a INST OF PHYS AND CHEMICAL RESEARCH   (Japan)

^b NEC CORPORATION   (Japan)

^c JAPAN SCIENCE AND TECHNOLOGY AGENCY   (Japan)

^d S YU YUNUSOV INSTITUTE OF THE CHEMISTRY OF PLANT SUBSTANCES   (Uzbekistan)

^e LEBEDEV PHYSICAL INSTITUTE   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 56349115482     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.78.180502     Document Type: Article

References (26)

1. J. M. Raimond, M. Brune, and S. Haroche, Rev. Mod. Phys. 10.1103/RevModPhys.73.565 73, 565 (2001).
2. H. Mabuchi and A. C. Doherty, Science 10.1126/science.1078446 298, 1372 (2002).
3. C. J. Hood, T. W. Lynn, A. C. Doherty, A. S. Parkins, and H. J. Kimble, Science 10.1126/science.287.5457.1447 287, 1447 (2000).
4. A. Blais, R.-S. Huang, A. Wallraff, S. M. Girvin, and R. J. Schoelkopf, Phys. Rev. A 10.1103/PhysRevA.69.062320 69, 062320 (2004).
5. 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) 10.1038/nature02851 431, 162 (2004).
6. D. I. Schuster, A. Wallraff, A. Blais, L. Frunzio, R.-S. Huang, J. Majer, S. M. Girvin, and R. J. Schoelkopf, Phys. Rev. Lett. 10.1103/PhysRevLett.94. 123602 94, 123602 (2005).
7. D. I. Schuster, A. A. Houck, J. A. Schreier, A. Wallraff, J. M. Gambetta, A. Blais, L. Frunzio, J. Majer, B. Johnson, M. H. Devoret, S. M. Girvin, and R. J. Schoelkopf, Nature (London) 10.1038/nature05461 445, 515 (2007).
8. A. A. Houck, D. I. Schuster, J. M. Gambetta, J. A. Schreier, B. R. Johnson, J. M. Chow, L. Frunzio, J. Majer, M. H. Devoret, S. M. Girvin, and R. J. Schoelkopf, Nature (London) 10.1038/nature06126 449, 328 (2007).
9. J. Majer, J. M. Chow, J. M. Gambetta, J. Koch, B. R. Johnson, J. A. Schreier, L. Frunzio, D. I. Schuster, A. A. Houck, A. Wallraff, A. Blais, M. H. Devoret, S. M. Girvin, and R. J. Schoelkopf, Nature (London) 10.1038/nature06184 449, 443 (2007).
10. O. Astafiev, K. Inomata, A. O. Niskanen, T. Yamamoto, Yu. A. Pashkin, Y. Nakamura, and J. S. Tsai, Nature (London) 10.1038/nature06141 449, 588 (2007).
11. J. M. Fink, M. Göppl, M. Baur, R. Bianchetti, P. J. Leek, A. Blais, and A. Wallraff, Nature (London) 10.1038/nature07112 454, 315 (2008).
12. I. Chiorescu, P. Bertet, K. Semba, Y. Nakamura, C. J. P. M. Harmans, and J. E. Mooij, Nature (London) 10.1038/nature02831 431, 159 (2004).
13. J. Johansson, S. Saito, T. Meno, H. Nakano, M. Ueda, K. Semba, and H. Takayanagi, Phys. Rev. Lett. 10.1103/PhysRevLett.96.127006 96, 127006 (2006).
14. M. A. Sillanpää, J. I. Park, and R. W. Simmonds, Nature (London) 10.1038/nature06124 449, 438 (2007).
15. M. Hofheinz, E. M. Weig, M. Ansmann, R. C. Bialczak, E. Lucero, M. Neeley, A. D. O'Connell, H. Wang, J. M. Martinis, and A. N. Cleland, Nature (London) 10.1038/nature07136 454, 310 (2008).
16. A. D. Armour, M. P. Blencowe, and K. C. Schwab, Phys. Rev. Lett. 10.1103/PhysRevLett.88.148301 88, 148301 (2002).
17. E. K. Irish and K. C. Schwab, Phys. Rev. B 10.1103/PhysRevB.68.155311 68, 155311 (2003).
18. J. Koch, T. M. Yu, J. Gambetta, A. A. Houck, D. I. Schuster, J. Majer, A. Blais, M. H. Devoret, S. M. Girvin, and R. J. Schoelkopf, Phys. Rev. A 10.1103/PhysRevA.76.042319 76, 042319 (2007).
19. J. Q. You, X. Hu, S. Ashhab, and F. Nori, Phys. Rev. B 10.1103/PhysRevB.75.140515 75, 140515 (R) (2007).
20. T. Lindström, C. H. Webster, J. E. Healey, M. S. Colclough, C. M. Muirhead, and A. Y. Tzalenchuk, Supercond. Sci. Technol. 10.1088/0953-2048/20/8/ 016 20, 814 (2007).
21. E. Il'ichev, N. Oukhanski, A. Izmalkov, T. Wagner, M. Grajcar, H.-G. Meyer, A. Y. Smirnov, A. M. van den Brink, M. H. S. Amin, and A. M. Zagoskin, Phys. Rev. Lett. 10.1103/PhysRevLett.91.097906 91, 097906 (2003).
22. F. Yoshihara, K. Harrabi, A. O. Niskanen, Y. Nakamura, and J. S. Tsai, Phys. Rev. Lett. 10.1103/PhysRevLett.97.167001 97, 167001 (2006).
23. M. Brune, P. Nussenzveig, F. Schmidt-Kaler, F. Bernardot, A. Maali, J. M. Raimond, and S. Haroche, Phys. Rev. Lett. 10.1103/PhysRevLett.72.3339 72, 3339 (1994).
24. For the parameters of the flux qubit investigated in this paper, the barrier between the potential minima is lower than the ground-state energy level. Nevertheless, the qubit Hamiltonian is valid for describing our flux qubit.
25. The small magnetic-field dependence of the resonator frequency (∼0.5 MHz across Fig. 2) is taken into account with a linear interpolation.
26. A. O. Niskanen, K. Harrabi, F. Yoshihara, Y. Nakamura, and J. S. Tsai, Phys. Rev. B 10.1103/PhysRevB.74.220503 74, 220503 (R) (2006).