Dissipative dynamics of a qubit coupled to a nonlinear oscillator

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 80, Issue 5, 2009, Pages

  Vierheilig, Carmen ^a   Hausinger, Johannes ^a   Grifoni, Milena ^a  

^a UNIVERSITY OF REGENSBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL EXPRESSIONS; DAMPED OSCILLATIONS; DISSIPATIVE DYNAMICS; EIGEN FUNCTION; EIGENSTATES; FIRST ORDER; LONG-TIME DYNAMICS; NON-LINEAR OSCILLATORS; NON-LINEARITY; PERTURBATION THEORY; ROTATING WAVE APPROXIMATIONS; SECOND ORDERS; SINGLE RELAXATION; THERMAL BATH; THERMAL EQUILIBRIUMS; TIME EVOLUTIONS; WEAK COUPLINGS;

EIGENVALUES AND EIGENFUNCTIONS; OSCILLATORS (MECHANICAL); PERTURBATION TECHNIQUES;

RELAXATION OSCILLATORS;

EID: 70849132038     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.80.052331     Document Type: Article

References (54)

1. T. Yoshie, A. Scherer, J. Hendrickson, G. Khitrova, H. M. Gibbs, G. Rupper, C. Ell, O. B. Shchekin, and D. G. Deppe, Nature (London) 432, 200 (2004). 10.1038/nature03119 (Pubitemid 39549307)
2. A. Faraon, I. Fushman, D. Englund, N. Stoltz, P. Petroff, and J. Vučković, Nature (London) 4, 859 (2008).
3. J. P. Reithmaier, G. Sek, A. Löffler, C. Hofmann, S. Kuhn, S. Reitzenstein, L. V. Keldysh, V. D. Kulakovskii, T. L. Reinecke, and A. Forchel, Nature (London) 432, 197 (2004). 10.1038/nature02969 (Pubitemid 39545845)
4. J. M. Raimond, M. Brune, and S. Haroche, Rev. Mod. Phys. 73, 565 (2001). 10.1103/RevModPhys.73.565
5. Y. Nakamura, Yu A. Pashkin, and J. S. Tsai, Nature (London) 398, 786 (1999). 10.1038/19718 (Pubitemid 29205341)
6. Y. Makhlin, G. Schön, and A. Shnirman, Rev. Mod. Phys. 73, 357 (2001). 10.1103/RevModPhys.73.357
7. D. Vion, A. Aassime, A. Cottet, P. Joyez, H. Pothier, C. Urbina, D. Esteve, and M. H. Devoret, Science 296, 886 (2002). 10.1126/science.1069372 (Pubitemid 34464889)
8. E. Collin, G. Ithier, A. Aassime, P. Joyez, D. Vion, and D. Esteve, Phys. Rev. Lett. 93, 157005 (2004). 10.1103/PhysRevLett.93.157005
9. A. Blais, R.-S. Huang, A. Wallraff, S. M. Girvin, and R. J. Schoelkopf, Phys. Rev. A 69, 062320 (2004). 10.1103/PhysRevA.69.062320
10. 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). 10.1038/nature02851 (Pubitemid 39243464)
11. D. I. Schuster, A. Wallraff, A. Blais, L. Frunzio, R.-S. Huang, J. Majer, S. M. Girvin, and R. J. Schoelkopf, Phys. Rev. Lett. 94, 123602 (2005). 10.1103/PhysRevLett.94.123602
12. A. Wallraff, D. I. Schuster, A. Blais, L. Frunzio, J. Majer, M. H. Devoret, S. M. Girvin, and R. J. Schoelkopf, Phys. Rev. Lett. 95, 060501 (2005). 10.1103/PhysRevLett.95.060501 (Pubitemid 41506042)
13. D. I. Schuster, A. A. Houck, J. A. Schreier, A. Wallraff, J. M. Gambetta, A. Blais, L. Frunzio, J. Maier, B. Johnson, M. H. Devoret, S. M. Girvin, and R. J. Schoelkopf, Nature (London) 445, 515 (2007). 10.1038/nature05461 (Pubitemid 46197628)
14. A. Wallraff, D. I. Schuster, A. Blais, J. M. Gambetta, J. Schreier, L. Frunzio, M. H. Devoret, S. M. Girvin, and R. J. Schoelkopf, Phys. Rev. Lett. 99, 050501 (2007). 10.1103/PhysRevLett.99.050501 (Pubitemid 47187115)
15. J. E. Mooij, T. P. Orlando, L. Levitov, L. Tian, C. H. van der Wal, and S. Lloyd, Science 285, 1036 (1999). 10.1126/science.285.5430.1036 (Pubitemid 29385947)
16. I. Chiorescu, Y. Nakamura, C. J. P. M. Harmans, and J. E. Mooij, Science 299, 1869 (2003). 10.1126/science.1081045 (Pubitemid 36356651)
17. I. Chiorescu, P. Bertet, K. Semba, Y. Nakamura, C. J. P. M. Harmans, and J. E. Mooij, Nature (London) 431, 159 (2004). 10.1038/nature02831 (Pubitemid 39243463)
18. J. Johansson, S. Saito, T. Meno, H. Nakano, M. Ueda, K. Semba, and H. Takayanagi, Phys. Rev. Lett. 96, 127006 (2006). 10.1103/PhysRevLett.96.127006
19. 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) 449, 328 (2007). 10.1038/nature06126 (Pubitemid 47443475)
20. L. S. Bishop, J. M. Chow, Jens Koch, A. A. Houck, M. H. Devoret, E. Thuneberg, S. M. Girvin, and R. J. Schoelkopf, Nature (London) 5, 105 (2008).
21. J. M. Fink, M. Göppl, M. Baur, R. Bianchetti, P. J. Leek, A. Blais, and A. Wallraff, Nature (London) 454, 315 (2008). 10.1038/nature07112 (Pubitemid 352013548)
22. A. Blais, J. Gambetta, A. Wallraff, D. I. Schuster, S. M. Girvin, M. H. Devoret, and R. J. Schoelkopf, Phys. Rev. A 75, 032329 (2007). 10.1103/PhysRevA.75.032329 (Pubitemid 46481377)
23. A. Lupaşcu, C. J. M. Verwijs, R. N. Schouten, C. J. P. M. Harmans, and J. E. Mooij, Phys. Rev. Lett. 93, 177006 (2004). 10.1103/PhysRevLett.93. 177006
24. I. Siddiqi, R. Vijay, F. Pierre, C. M. Wilson, L. Frunzio, M. Metcalfe, C. Rigetti, R. J. Schoelkopf, M. H. Devoret, D. Vion, and D. Esteve, Phys. Rev. Lett. 94, 027005 (2005). 10.1103/PhysRevLett.94.027005
25. I. Siddiqi, R. Vijay, M. Metcalfe, E. Boaknin, L. Frunzio, R. J. Schoelkopf, and M. H. Devoret, Phys. Rev. B 73, 054510 (2006). 10.1103/PhysRevB.73.054510
26. J. C. Lee, W. D. Oliver, K. K. Berggren, and T. P. Orlando, Phys. Rev. B 75, 144505 (2007). 10.1103/PhysRevB.75.144505
27. T. Picot, A. Lupaşcu, S. Saito, C. J. P. M. Harmans, and J. E. Mooij, Phys. Rev. B 78, 132508 (2008). 10.1103/PhysRevB.78.132508
28. S. Etaki, M. Poot, I. Mahboob, K. Onomitsu, H. Yamaguchi, and H. S. J. van der Zant, Nature (London) 4, 785 (2008).
29. P. D. Nation, M. P. Blencowe, and E. Buks, Phys. Rev. B 78, 104516 (2008). 10.1103/PhysRevB.78.104516
30. M. I. Dykman and M. V. Fistul, Phys. Rev. B 71, 140508 (R) (2005). 10.1103/PhysRevB.71.140508 (Pubitemid 41755479)
31. V. Peano and M. Thorwart, Chem. Phys. 322, 135 (2006). 10.1016/j.chemphys.2005.06.047
32. V. Peano and M. Thorwart, New J. Phys. 8, 21 (2006). 10.1088/1367-2630/8/ 2/021 (Pubitemid 43670272)
33. V. Peano and M. Thorwart, Phys. Rev. B 70, 235401 (2004). 10.1103/PhysRevB.70.235401 (Pubitemid 40270790)
34. I. Serban and F. K. Wilhelm, Phys. Rev. Lett. 99, 137001 (2007). 10.1103/PhysRevLett.99.137001 (Pubitemid 47480011)
35. A. Garg, J. N. Onuchic, and V. Ambegaokar, J. Chem. Phys. 83, 4491 (1985). 10.1063/1.449017
36. L. Tian, S. Lloyd, and T. P. Orlando, Phys. Rev. B 65, 144516 (2002). 10.1103/PhysRevB.65.144516
37. C. H. van der Wal, F. K. Wilhelm, C. J. P. M. Harmans, and J. E. Mooij, Eur. Phys. J. B 31, 111 (2003).
38. M. Thorwart, E. Paladino, and M. Grifoni, Chem. Phys. 296, 333 (2004). 10.1016/j.chemphys.2003.10.007
39. M. C. Goorden, M. Thorwart, and M. Grifoni, Phys. Rev. Lett. 93, 267005 (2004). 10.1103/PhysRevLett.93.267005 (Pubitemid 40213750)
40. M. C. Goorden, M. Thorwart, and M. Grifoni, Eur. Phys. J. B 45, 405 (2005). 10.1140/epjb/e2005-00192-5 (Pubitemid 40983148)
41. F. K. Wilhelm, S. Kleff, and J. von Delft, Chem. Phys. 296, 345 (2004). 10.1016/j.chemphys.2003.10.010
42. S. Kleff, S. Kehrein, and J. von Delft, Physica E (Amsterdam) 18, 343 (2003).
43. S. Kleff, S. Kehrein, and J. von Delft, Phys. Rev. B 70, 014516 (2004). 10.1103/PhysRevB.70.014516
44. H. Nakano, S. Saito, K. Semba, and H. Takayanagi, Phys. Rev. Lett. 102, 257003 (2009). 10.1103/PhysRevLett.102.257003
45. U. Weiss, Quantum Dissipative Systems, 3rd ed. (World Scientific, Singapore, 2008).
46. G. Burkard, D. P. DiVincenzo, P. Bertet, I. Chiorescu, and J. E. Mooij, Phys. Rev. B 71, 134504 (2005). 10.1103/PhysRevB.71.134504 (Pubitemid 41749721)
47. A. O. Caldeira and A. J. Leggett, Ann. Phys. 149, 374 (1983). 10.1016/0003-4916(83)90202-6
48. F. Nesi, M. Grifoni, and E. Paladino, New J. Phys. 9, 316 (2007). 10.1088/1367-2630/9/9/316 (Pubitemid 47416238)
49. J. Hausinger and M. Grifoni, New J. Phys. 10, 115015 (2008). 10.1088/1367-2630/10/11/115015
50. I. Shavitt and L. T. Redmon, J. Chem. Phys. 73, 5711 (1980). 10.1063/1.440050
51. D. Cohen-Tannoudji, J. Dupont-Roc, and G. Grynberg, Atom-Photon Interactions: Basic Processes and Applications (Wiley, New York, 1992).
52. F. Bloch and A. Siegert, Phys. Rev. 57, 522 (1940). 10.1103/PhysRev.57. 522
53. K. Blum, Density Matrix Theory and Applications, 2nd ed. (Plenum Press, New York, London, 1996).
54. W. H. Louisell, Quantum Statistical Properties of Radiation (Wiley, New York, 1973).