Qubit-oscillator systems in the ultrastrong-coupling regime and their potential for preparing nonclassical states

Physical Review A - Atomic, Molecular, and Optical Physics

Volumn 81, Issue 4, 2010, Pages

  Ashhab, S ^a,b   Nori, Franco ^a,b  

^a INST OF PHYS AND CHEMICAL RESEARCH   (Japan)

^b UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL METHOD; CAT STATE; COUPLING STRENGTHS; DECOHERENCE; ENTANGLED STATE; EXPERIMENTAL OBSERVATION; HARMONIC OSCILLATORS; NONCLASSICAL PROPERTIES; NONCLASSICAL STATE; OSCILLATOR ENERGY; OSCILLATOR SYSTEMS; PARAMETER REGIMES; SQUEEZED STATE; TWO-LEVEL SYSTEM;

QUANTUM OPTICS;

OSCILLATORS (ELECTRONIC);

EID: 77951133045     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.81.042311     Document Type: Article

References (63)

1. E. T. Jaynes and F. W. Cummings, Proc. IEEE IEEPAD 0018-9219 10.1109/PROC.1963.1664 51, 89 (1963).
2. See, for example, C. C. Gerry and P. L. Knight, Introductory Quantum Optics (Cambridge University Press, Cambridge, UK, 2005);
3. D. F. Walls and G. J. Milburn, Quantum Optics (Springer-Verlag, Berlin, 1994);
4. M. O. Scully and M. S. Zubairy, Quantum Optics (Cambridge University Press, Cambridge, UK, 1997).
5. I. Chiorescu, P. Bertet, K. Semba, Y. Nakamura, C. J. P. M. Harmans, and J. E. Mooij, Nature (London) NATUAS 0028-0836 10.1038/nature02831 431, 159 (2004). (Pubitemid 39243463)
6. 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). (Pubitemid 39243464)
7. For recent reviews on superconducting qubit circuits, see, for example, J. Q. You and F. Nori, Phys. Today PHTOAD 0031-9228 10.1063/1.2155757 58, 42 (2005);
8. G. Wendin and V. Shumeiko, in Handbook of Theoretical and Computational Nanotechnology, edited by, M. Rieth, and, W. Schommers, (ASP, Los Angeles, 2006);
9. R. J. Schoelkopf and S. M. Girvin, Nature (London) NATUAS 0028-0836 10.1038/451664a 451, 664 (2008); (Pubitemid 351220557)
10. J. Clarke and F. K. Wilhelm, Nature (London) NATUAS 0028-0836 10.1038/nature07128 453, 1031 (2008). (Pubitemid 351871746)
11. K. Hennessy, A. Badolato, M. Winger, D. Gerace, M. Atatüre, S. Gulde, S. Fält, E. L. Hu, and A. Imamoglu, Nature (London) NATUAS 0028-0836 10.1038/nature05586 445, 896 (2007).
12. R. Leturcq, C. Stampfer, K. Inderbitzin, L. Durrer, C. Hierold, E. Mariani, M. G. Schultz, F. von Oppen, and K. Ensslin, Nature Phys. NATUAS 1745-2473 10.1038/nphys1234 5, 327 (2009);
13. M. D. LaHaye, J. Suh, P. M. Echternach, K. C. Schwab, and M. L. Roukes, Nature (London) NATUAS 0028-0836 10.1038/nature08093 459, 960 (2009);
14. G. A. Steele, A. K. Hüttel, B. Witkamp, M. Poot, H. B. Meerwaldt, L. P. Kouwenhoven, and H. S. J. van der Zant, Science SCIEAS 0036-8075 10.1126/science.1176076 325, 1103 (2009).
15. A. D. Armour, M. P. Blencowe, and K. C. Schwab, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.148301 88, 148301 (2002).
16. T. Holstein, Ann. Phys. (NY) APNYA6 0003-4916 10.1016/0003-4916(59)90002- 8 8, 325 (1959).
17. See, for example, R. Graham and M. Höhnerbach, Z. Phys. ZPCMDN 0722-3277 10.1007/BF01318416 57, 233 (1984);
18. L. Müller, J. Stolze, H. Leschke, and P. Nagel, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.44.1022 44, 1022 (1991).
19. H. J. Kimble, Phys. Scr. T PHSTBO 0031-8949 10.1238/Physica.Topical. 076a00127 76, 127 (1998);
20. J. M. Raimond, M. Brune, and S. Haroche, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.73.565 73, 565 (2001);
21. S. Haroche and J. M. Raimond, Exploring the Quantum: Atoms, Cavities, and Photons (Oxford University Press, New York, 2006).
22. M. H. Devoret, S. Girvin, and R. Schoelkopf, Ann. Phys. (NY) ANPYA2 0003-3804 10.1002/andp.200710261 16, 767 (2007). (Pubitemid 350075350)
23. A. P. Hines, C. M. Dawson, R. H. McKenzie, and G. J. Milburn, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.70.022303 70, 022303 (2004).
24. E. K. Irish, J. Gea-Banacloche, I. Martin, and K. C. Schwab, Phys. Rev. B PLRAAN 1098-0121 10.1103/PhysRevB.72.195410 72, 195410 (2005); (Pubitemid 43029469)
25. E. K. Irish, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.99. 173601 99, 173601 (2007). (Pubitemid 47631512)
26. J. Larson, Phys. Scr. PHSTBO 0031-8949 10.1088/0031-8949/76/2/007 76, 146 (2007); (Pubitemid 47179516)
27. J. Larson, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.78.033833 78, 033833 (2008)
28. e-print arXiv: 0908.1717.
29. D. Zueco, G. M. Reuther, S. Kohler, and P. Hänggi, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.033846 80, 033846 (2009).
30. C. P. Meaney, T. Duty, R. H. McKenzie, and G. J. Milburn, e-print arXiv: 0903.2681.
31. I. Lizuain, J. Casanova, J. J. Garcia-Ripoll, J. G. Muga, and E. Solano, e-print arXiv: 0912.3485.
32. See, for example, 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); (Pubitemid 41780782)
33. 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). (Pubitemid 44570278)
34. See, for example, F. G. Paauw, A. Fedorov, C. J. P. M. Harmans, and J. E. Mooij, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.090501 102, 090501 (2009).
35. 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) NATUAS 0028-0836 10.1038/nature07136 454, 310 (2008); (Pubitemid 352013549)
36. M. Hofheinz, H. Wang, M. Ansmann, R. C. Bialczak, E. Lucero, M. Neeley, A. D. O'Connell, D. Sank, J. Wenner, J. M. Martinis, and A. N. Cleland, Nature (London) NATUAS 0028-0836 10.1038/nature08005 459, 546 (2009).
37. See also 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) NATUAS 0028-0836 10.1038/nature06126 449, 328 (2007); (Pubitemid 47443475)
38. M. A. Sillanpää, J. I. Park, and R. W. Simmonds, Nature (London) NATUAS 0028-0836 10.1038/nature06124 449, 438 (2007). (Pubitemid 47509540)
39. For recent proposals for the generation of squeezed and Schrödinger-cat states in superconducting resonators, see, for example, Y.-X. Liu, L.-F. Wei, and F. Nori, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2004-10144-3 67, 941 (2004); (Pubitemid 39315686)
40. Y.-X. Liu, L.-F. Wei, and F. Nori, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.71.063820 71, 063820 (2005); (Pubitemid 41481268)
41. M. Mariantoni, F. Deppe, A. Marx, R. Gross, F. K. Wilhelm, and E. Solano, Phys. Rev. B PLRAAN 1098-0121 10.1103/PhysRevB.78.104508 78, 104508 (2008);
42. A. M. Zagoskin, E. Ilichev, M. W. McCutcheon, J. F. Young, and F. Nori, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.101.253602 101, 253602 (2008);
43. M. Abdel-Aty, Opt. Commun. OPCOB8 0030-4018 10.1016/j.optcom.2009.08.035 282, 4556 (2009);
44. J. R. Johansson, G. Johansson, C. M. Wilson, and F. Nori, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.147003 103, 147003 (2009).
45. J. Bourassa, J. M. Gambetta, A. A. Abdumalikov, O. Astafiev, Y. Nakamura, and A. Blais, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.032109 80, 032109 (2009).
46. B. Peropadre, P. Forn-Diaz, E. Solano, and J. J. Garcia-Ripoll, e-print arXiv: 0912.3456.
47. See, for example, S. N. Shevchenko, S. Ashhab, and F. Nori, Phys. Rep. (2010) doi: 10.1016/j.physrep.2010.03.002.
48. M. A. Sillanpää, T. Lehtinen, A. Paila, Yu. Makhlin, L. Roschier, and P. J. Hakonen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.206806 95, 206806 (2005); (Pubitemid 41777147)
49. T. Duty, G. Johansson, K. Bladh, D. Gunnarsson, C. Wilson, and P. Delsing, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.206807 95, 206807 (2005); (Pubitemid 41777148)
50. G. Johansson, L. Tornberg, and C. M. Wilson, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.74.100504 74, 100504 (R) (2006); (Pubitemid 44396716)
51. V. I. Shnyrkov, Th. Wagner, D. Born, S. N. Shevchenko, W. Krech, A. N. Omelyanchouk, E. Ilichev, and H.-G. Meyer, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.73.024506 73, 024506 (2006); (Pubitemid 43270444)
52. S. N. Shevchenko, S. H. W. van der Ploeg, M. Grajcar, E. Il'ichev, A. N. Omelyanchouk, and H.-G. Meyer, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.78.174527 78, 174527 (2008).
53. See, for example, C. Cohen-Tannoudji, J. Dupont-Roc, and G. Grynberg, Atom-Photon Interactions (Wiley, New York, 1992).
54. An explanation of Van Vleck perturbation theory can be found in J. Hausinger and M. Grifoni, New J. Phys. NJOPFM 1367-2630 10.1088/1367-2630/10/11/ 115015 10, 115015 (2008);
55. an application to superconducting-qubit circuits with high-frequency couplers is given in S. Ashhab, A. O. Niskanen, K. Harrabi, Y. Nakamura, T. Picot, P. C. de Groot, C. J. P. M. Harmans, J. E. Mooij, and F. Nori, Phys. Rev. B NJOPFM 1098-0121 10.1103/PhysRevB.77.014510 77, 014510 (2008).
56. R. H. Dicke, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.93.99 93, 99 (1954).
57. K. Hepp and E. H. Lieb, Ann. Phys. (NY) APNYA6 0003-4916 10.1016/0003-4916(73)90039-0 76, 360 (1973);
58. Y. K. Wang and F. T. Hioe, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.7.831 7, 831 (1973);
59. see also N. Lambert, C. Emary, and T. Brandes, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.073602 92, 073602 (2004);
60. P. Nataf and C. Ciuti, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.104.023601 104, 023601 (2010).
61. G. Ithier, E. Collin, P. Joyez, P. J. Meeson, D. Vion, D. Esteve, F. Chiarello, A. Shnirman, Y. Makhlin, J. Schriefl, and G. Schön, Phys. Rev. B PRLTAO 1098-0121 10.1103/PhysRevB.72.134519 72, 134519 (2005). (Pubitemid 43028808)
62. For a recent study on a related problem, see, for example, S. De Liberato, D. Gerace, I. Carusotto, and C. Ciuti, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.80.053810 80, 053810 (2009).
63. T. Niemczyk, F. Deppe, H. Huebl, E. P. Menzel, F. Hocke, M. J. Schwarz, J. J. Garcia-Ripoll, D. Zueco, T. Hümmer, E. Solano, A. Marx, and R. Gross, e-print arXiv: 1003.2376v1.