Black-box superconducting circuit quantization

Physical Review Letters

Volumn 108, Issue 24, 2012, Pages

  Nigg, Simon E ^a   Paik, Hanhee ^a   Vlastakis, Brian ^a   Kirchmair, Gerhard ^a   Shankar, S ^a   Frunzio, Luigi ^a   Devoret, M H ^a   Schoelkopf, R J ^a   Girvin, S M ^a  

^a YALE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANHARMONIC; BLACK BOXES; EIGEN MODES; ELECTROMAGNETIC ENVIRONMENTS; LINEAR RESPONSE FUNCTIONS; LOW ENERGIES; LOW-ENERGY SPECTRA; LUMPED ELEMENT; MESOSCOPIC JOSEPHSON JUNCTION; MULTIMODES; QUANTITATIVE AGREEMENT; QUANTUM HAMILTONIANS; SEMICLASSICAL METHODS; SUPERCONDUCTING CIRCUIT;

QUANTUM OPTICS; SUPERCONDUCTIVITY;

COUPLED CIRCUITS;

EID: 84862183039     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.108.240502     Document Type: Article

References (29)

1. M.H. Devoret and J.M. Martinis, Quantum Inf. Process. 3, 163 (2004). QIPUAT 1570-0755 10.1007/s11128-004-3101-5
2. 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) 431, 162 (2004). 0028-0836 10.1038/nature02851
3. H. Paik, D.I. Schuster, L.S. Bishop, G. Kirchmair, G. Catelani, A.P. Sears, B.R. Johnson, M.J. Reagor, L. Frunzio, L.I. Glazman, S.M. Girvin, M.H. Devoret, and R.J. Schoelkopf, Phys. Rev. Lett. 107, 240501 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.240501
4. M. Devoret, S. Girvin, and R. Schoelkopf, Ann. Phys. 16, 767 (2007). ANPYA2 0003-3804 10.1002/andp.200710261
5. A.A. Houck, J.A. Schreier, B.R. Johnson, J.M. Chow, J. Koch, J.M. Gambetta, D.I. Schuster, L. Frunzio, M.H. Devoret, S.M. Girvin, and R.J. Schoelkopf, Phys. Rev. Lett. 101, 080502 (2008). PRLTAO 0031-9007 10.1103/PhysRevLett.101.080502
6. J. Bourassa, J.M. Gambetta, A.A. Abdumalikov, O. Astafiev, Y. Nakamura, and A. Blais, Phys. Rev. A 80, 032109 (2009). PLRAAN 1050-2947 10.1103/PhysRevA.80.032109
7. T. Niemczyk, F. Deppe, H. Huebl, E.P. Menzel, F. Hocke, M.J. Schwarz, J.J. Garcia-Ripoll, T.H.D. Zueco, E. Solano, A. Marx, and R. Gross, Nat. Phys. 6, 772 (2010). NPAHAX 1745-2473 10.1038/nphys1730
8. S. Filipp, M. Göppl, J.M. Fink, M. Baur, R. Bianchetti, L. Steffen, and A. Wallraff, Phys. Rev. A 83, 063827 (2011). PLRAAN 1050-2947 10.1103/PhysRevA.83.063827
9. P. Nataf and C. Ciuti, Nat. Commun., doi: 10.1038/ncomms1069 (2010). NCAOBW 2041-1723
10. O. Viehmann, J. von Delft, and F. Marquardt, Phys. Rev. Lett. 107, 113602 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.113602
11. A. Cottet, Ph.D. thesis, Université Paris VI, 2002.
12. 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 76, 042319 (2007). PLRAAN 1050-2947 10.1103/PhysRevA.76.042319
13. J.A. Schreier, A.A. Houck, J. Koch, D.I. Schuster, B.R. Johnson, J.M. Chow, J.M. Gambetta, J. Majer, L. Frunzio, M.H. Devoret, S.M. Girvin, and R.J. Schoelkopf, Phys. Rev. B 77, 180502 (2008). PRBMDO 1098-0121 10.1103/PhysRevB.77.180502
14. A. Blais, R.-S. Huang, A. Wallraff, S.M. Girvin, and R.J. Schoelkopf, Phys. Rev. A 69, 062320 (2004). PLRAAN 1050-2947 10.1103/PhysRevA.69.062320
15. E. Jaynes and F. Cummings, Proc. IEEE 51, 89 (1963). IEEPAD 0018-9219 10.1109/PROC.1963.1664
16. M. Tavis and F.W. Cummings, Phys. Rev. 170, 379 (1968). PHRVAO 0031-899X 10.1103/PhysRev.170.379
17. L. DiCarlo, J.M. Chow, J.M. Gambetta, L.S. Bishop, B.R. Johnson, D.I. Schuster, J. Majer, A. Blais, L. Frunzio, S.M. Girvin, and R.J. Schoelkopf, Nature (London) 460, 240 (2009). 0028-0836 10.1038/nature08121
18. M.D. Reed, L. DiCarlo, S.E. Nigg, L. Sun, L. Frunzio, S.M. Girvin, and R.J. Schoelkopf, Nature (London) NATUAS 0028-0836 482, 382 (2012). 10.1038/nature10786
19. V.E. Manucharyan, E. Boaknin, M. Metcalfe, R. Vijay, I. Siddiqi, and M. Devoret, Phys. Rev. B 76, 014524 (2007). PRBMDO 1098-0121 10.1103/PhysRevB.76. 014524
20. R.M. Foster, Bell Syst. Tech. J. 3, 260 (1924). BSTJAN 0005-8580
21. E.R. Beinger, R.H. Dicke, N. Marcuvitz, C.G. Montgomery, and E.M. Purcell, Principles of Microwave Circuits, edited by, C.G. Montgomery, R.H. Dicke, and, E.M. Purcell, (McGraw-Hill Book Co., New York, 1948).
22. M.K. Zinn, Bell Syst. Tech. J. 31, 378 (1951). BSTJAN 0005-8580
23. M.H. Devoret, in Quantum Fluctuations in Electrical Circuits, Proceedings of the Les Houches Summer School, Session LXIII (Elsevier Science B. V., New York, 1995).
24. A.A. Clerk, M.H. Devoret, S.M. Girvin, F. Marquardt, and R.J. Schoelkopf, Rev. Mod. Phys. 82, 1155 (2010). RMPHAT 0034-6861 10.1103/RevModPhys.82.1155
25. M. Boissonneault, J.M. Gambetta, and A. Blais, Phys. Rev. Lett. 105, 100504 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.100504
26. A.O. Caldeira and A.J. Leggett, Phys. Rev. Lett. 46, 211 (1981). PRLTAO 0031-9007 10.1103/PhysRevLett.46.211
27. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.108.240502 for further details on the multijunction generalization of the method and on the HFSS simulation used to determine the effective Hamiltonian describing the experiment.
28. K. Gloos, R.S. Poikolainen, and J.P. Pekola, Appl. Phys. Lett. 77, 2915 (2000). APPLAB 0003-6951 10.1063/1.1320861
29. J. Bourassa, F. Beaudoin, J.M. Gambetta, and A. Blais, arXiv:1204.2237.