Microwave photonics with Josephson junction arrays: Negative refraction index and entanglement through disorder

Physical Review B - Condensed Matter and Materials Physics

Volumn 86, Issue 2, 2012, Pages

  Zueco, David ^a,b   Mazo, Juan J ^a   Solano, Enrique ^c,d   García Ripoll, Juan José ^e  

^a UNIVERSITY OF ZARAGOZA   (Spain)

^b FUNDACIÓN ARAID   (Spain)

^c UNIVERSITY OF THE BASQUE COUNTRY UPV EHU   (Spain)

^d BASQUE FOUNDATION FOR SCIENCE   (Spain)

^e INSTITUTO DE FÍSICA FUNDAMENTAL   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84863677798     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.86.024503     Document Type: Article

References (63)

1. J. Q. You and F. Nori, Nature (London) NATUAS 0028-0836 10.1038/nature10122 474, 589 (2011).
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) NATUAS 0028-0836 10.1038/nature02851 431, 162 (2004). (Pubitemid 39243464)
3. M. Hofheinz, H. Wang, M. Ansmann, R. C. Bialczak, E. Lucero, M. Neeley, A. D. O'Connell, D. Sank, J. Wenner, J. M. Martinis, Nature (London) NATUAS 0028-0836 10.1038/nature08005 459, 546 (2009).
4. 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, Nature (London) NATUAS 0028-0836 10.1038/nature06184 449, 443 (2007). (Pubitemid 47509554)
5. 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, Nature (London) NATUAS 0028-0836 10.1038/nature08121 460, 240 (2009).
6. M. Ansmann, H. Wang, R. C. Bialczak, M. Hofheinz, E. Lucero, M. Neeley, A. D. O'Connell, D. Sank, M. Weides, J. Wenner, Nature (London) NATUAS 0028-0836 10.1038/nature08363 461, 504 (2009).
7. J. T. Shen, M. L. Povinelli, S. Sandhu, and S. Fan, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.75.035320 75, 035320 (2007).
8. A. L. Rakhmanov, A. M. Zagoskin, S. Savel'ev, and F. Nori, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.77.144507 77, 144507 (2008).
9. A. M. Zagoskin, A. L. Rakhmanov, S. Savel'ev, and F. Nori, Phys. Status Solidi B PSSBBD 0370-1972 10.1002/pssb.200881568 246, 955 (2009).
10. C. Hutter, E. A. Tholén, K. Stannigel, J. Lidmar, and D. B. Haviland, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.83.014511 83, 014511 (2011).
11. J. Q. Liao, Z. R. Gong, L. Zhou, Y. X. Liu, C. P. Sun, and F. Nori, Phys. Rev. A 1050-2947 10.1103/PhysRevA.81.042304 81, 042304 (2010).
12. J.-T. Shen and S. Fan, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.95.213001 95, 213001 (2005). (Pubitemid 41777040)
13. L. Zhou, Z. R. Gong, Y. X. Liu, C. P. Sun, and F. Nori, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.101.100501 101, 100501 (2008).
14. L. Zhou, H. Dong, Y. X. Liu, C. P. Sun, and F. Nori, Phys. Rev. A 1050-2947 10.1103/PhysRevA.78.063827 78, 063827 (2008).
15. O. Astafiev, A. M. Zagoskin, A. A. Abdumalikov, Y. Pashkin, T. Yamamoto, K. Inomata, Y. Nakamura, and J. S. Tsai, Science SCIEAS 0036-8075 10.1126/science.1181918 327, 840 (2010).
16. I.-C. Hoi, C. M. Wilson, G. Johansson, T. Palomaki, B. Peropadre, and P. Delsing, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.107.073601 107, 073601 (2011).
17. O. V. Astafiev, A. A. Abdumalikov, A. M. Zagoskin, Yu. A. Pashkin, Y. Nakamura, and J. S. Tsai, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 104.183603 104, 183603 (2010).
18. G. Romero, J. J. García-Ripoll, and E. Solano, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.102.173602 102, 173602 (2009).
19. B. Peropadre, G. Romero, G. Johansson, C. M. Wilson, E. Solano, and J. J. García-Ripoll, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.84.063834 84, 063834 (2011).
20. Y.-F. Chen, D. Hover, S. Sendelbach, L. Maurer, S. T. Merkel, E. J. Pritchett, F. K. Wilhelm, and R. McDermott, Phys. Rev. Lett. 0031-9007 10.1103/PhysRevLett.107.217401 107, 217401 (2011).
21. S. Savel'ev, A. L. Rakhmanov, and F. Nori, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.94.157004 94, 157004 (2005). (Pubitemid 40629848)
22. S. Savel'ev, A. L. Rakhmanov, and F. Nori, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.74.184512 74, 184512 (2006). (Pubitemid 44730463)
23. S. Savel'ev, V. A. Yampol'skii, A. L. Rakhmanov, and F. Nori, Rep. Prog. Phys. RPPHAG 0034-4885 10.1088/0034-4885/73/2/026501 73, 026501 (2010).
24. Y. Makhlin, G. Schön, and A. Shnirman, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.73.357 73, 357 (2001).
25. M. A. Castellanos-Beltran, K. D. Irwin, G. C. Hilton, L. R. Vale, and K. W. Lehnert, Nat. Phys. 1745-2473 10.1038/nphys1090 4, 929 (2008).
26. C. M. Wilson, G. Johansson, A. Pourkabirian, J. R. Johansson, T. Duty, F. Nori, and P. Delsing, Nature (London) NATUAS 0028-0836 10.1038/nature10561 479, 376 (2011).
27. T. Niemczyk, F. Deppe, H. Huebl, E. P. Menzel, F. Hocke, M. J. Schwarz, J. J. Garcia-Ripoll, D. Zueco, T. Hummer, E. Solano, Nat. Phys. 1745-2473 10.1038/nphys1730 6, 772 (2010).
28. P. Forn-Díaz, J. Lisenfeld, D. Marcos, J. J. García-Ripoll, E. Solano, C. J. P. M. Harmans, and J. E. Mooij, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.105.237001 105, 237001 (2010).
29. F. R. Ong, M. Boissonneault, F. Mallet, A. Palacios-Laloy, A. Dewes, A. C. Doherty, A. Blais, P. Bertet, D. Vion, and D. Esteve, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.167002 106, 167002 (2011).
30. P. D. Nation, M. P. Blencowe, A. J. Rimberg, and E. Buks, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.103.087004 103, 087004 (2009).
31. 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).
32. M H. Devoret, in Quantum Fluctuations, Les Houches Session LXIII, edited by, S. Reynaud, E. Giacobino, and, J. Zinn-Justin, (Elsevier, 1997), p. 351.
33. J. Joannopoulos, S. Johnson, J. Winn, and R. Meade, Photonic Crystals: Molding the Flow of Light, 2nd ed. (Princeton Univ. Press, 2008).
34. D. B. Haviland, K. Andersson, and P. Ågren, J. Low. Temp. Phys. 0022-2291 10.1023/A:1004603814529 118, 733 (2000).
35. M. J. Hartmann, F. G. S. L. Brandão, and M. B. Plenio, Nat. Phys. 1745-2473 10.1038/nphys462 2, 849 (2006). (Pubitemid 44853583)
36. D. G. Angelakis, M. F. Santos, and S. Bose, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.76.031805 76, 031805 (2007). (Pubitemid 47510818)
37. A. Majhofer, T. Wolf, and W. Dieterich, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.44.9634 44, 9634 (1991).
38. J. R. Phillips, H. S. J. van der Zant, J. White, and T. P. Orlando, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.47.5219 47, 5219 (1993).
39. D. Domínguez and J. V. José, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.53.11692 53, 11692 (1996).
40. J. J. Mazo and J. C. Ciria, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.54.16068 54, 16068 (1996).
41. R. S. Newrock, C. J. Lobb, U. Geigenmüller, and M. Octavio, The Two-Dimensional Physics of Josephson Junction Arrays, Vol. 54 of Solid State Physics (Academic Press, 1999).
42. J. C. Ciria and C. Giovannella, J. Phys.: Condens. Matter JCOMEL 0953-8984 10.1088/0953-8984/11/36/201 11, R361 (1999).
43. J. J. Mazo, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89. 234101 89, 234101 (2002).
44. J. J. Mazo and T. P. Orlando, Chaos CHAOEH 1054-1500 10.1063/1.1541131 13, 733 (2003). (Pubitemid 36814907)
45. J. Q. Quach, C.-H. Su, A. M. Martin, A. D. Greentree, and L. C. L. Hollenberg, Opt. Express OPEXFF 1094-4087 10.1364/OE.19.011018 19, 11018 (2011).
46. V. G. Veselago, Sov. Phys. Usp. SOPUAP 0038-5670 10.1070/ PU1968v010n04ABEH003699 10, 509 (1968).
47. J. B. Pendry, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.85. 3966 85, 3966 (2000). (Pubitemid 32027228)
48. C. Cohen-Tannoudji, J. Dupont-Roc, and G. Grynberg, Atom-Photon Interactions: Basic Processes and Applications (Wiley-Interscience, 1992).
49. S. John and T. Quang, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.50. 1764 50, 1764 (1994).
50. C.-T. Tai, Dyadic Green's Functions in Electromagnetic Theory, IEEE-OUP Series on Electromagnetic Wave Theory (Oxford University Press, 1996), 2nd ed.
51. H.-P. Breuer and F. Petruccione, The Theory of Open Quantum Systems (Oxford University Press, 2007).
52. A. Rivas and S. F. Huelga, Open Quantum Systems: An Introduction (Springer, Heidelberg, 2012).
53. A. Gonzalez-Tudela, D. Martin-Cano, E. Moreno, L. Martin-Moreno, C. Tejedor, and F. J. Garcia-Vidal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.106.020501 106, 020501 (2011).
54. A. F. van Loo, A. Fedorov, K. Lalumière, B. C. Sanders, A. Blais, and A. Wallraff, in APS Meeting Abstracts, 2012, p. 29005.
55. M. A. Kaliteevski, D. M. Beggs, S. Brand, R. A. Abram, and V. V. Nikolaev, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.73.033106 73, 033106 (2006). (Pubitemid 43270578)
56. M. V. Berry and S. Klein, Eur. J. Phys. EJPHD4 0143-0807 10.1088/0143-0807/18/3/017 18, 222 (1997).
57. S. John, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.58.2486 58, 2486 (1987).
58. Yu. A. Vlasov, M. A. Kaliteevski, and V. V. Nikolaev, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.60.1555 60, 1555 (1999).
59. Y. Chang, Z. R. Gong, and C. P. Sun, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.83.013825 83, 013825 (2011).
60. J. Bourassa, F. Beaudoin, J. M. Gambetta, and A. Blais, arXiv: 1204.2237.
61. T. Lindström, C. H. Webster, J. E. Healey, M. S. Colclough, C. M. Muirhead, and A. Y. Tzalenchuk, Supercond. Sci. Technol. SUSTEF 0953-2048 10.1088/0953-2048/20/8/016 20, 814 (2007). (Pubitemid 47189533)
62. L. Novotny and B. Hecht, Principles of Nano-Optics (Cambridge University Press, 2006).
63. D. Dzsotjan, J. Kästel, and M. Fleischhauer, Phys. Rev. B PRBMDO 1098-0121 10.1103/PhysRevB.84.075419 84, 075419 (2011).