Networks of nonlinear superconducting transmission line resonators

New Journal of Physics

Volumn 14, Issue , 2012, Pages

  Leib, M ^a   Deppe, F ^a,b   Marx, A ^b   Gross, R ^a,b   Hartmann, M J ^a  

^a TECHNICAL UNIVERSITY OF MUNICH   (Germany)

^b WALTHER MEISSNER INSTITUT   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ANTICROSSINGS; BOSE-HUBBARD HAMILTONIAN; DC SQUID; EIGEN MODES; HARMONIC OSCILLATORS; INTERACTING PARTICLES; JOSEPHSON JUNCTIONS; KERR NONLINEARITY; MANY-BODY; NON-LINEARITY; NONLINEAR RESONATORS; PLASMA MODE; QUANTUM SIMULATORS; REALISTIC DEVICES; RESONANCE FREQUENCIES; RESONATOR MODE; SHUNTED JUNCTIONS; SINGLE JUNCTION; SUPERCONDUCTING TRANSMISSION LINES;

HAMILTONIANS; QUANTUM OPTICS; RESONATORS; SUPERCONDUCTIVITY;

SUPERCONDUCTING RESONATORS;

EID: 84864651759     PISSN: 13672630     EISSN: None     Source Type: Journal    
DOI: 10.1088/1367-2630/14/7/075024     Document Type: Article

References (39)

1. Bloch I, Dalibard J and Zwerger W 2008 Many-body physics with ultracold gases Rev. Mod. Phys. 80 885-964
2. Friedenauer A, Schmitz H, Glueckert J T, Porras D and Schaetz T 2008 Simulating a quantum magnet with trapped ions Nature Phys. 4 757-61
3. Kim K, Chang M-S, Korenblit S, Islam R, Edwards E E, Freericks J K, Lin G-D, Duan L-M and Monroe C 2010 Quantum simulation of frustrated Ising spins with trapped ions Nature 465 590
4. Hartmann M J, Fernando Brandao G S L and Plenio M B 2006 Strongly interacting polaritons in coupled arrays of cavities Nature Phys. 2 849-55 (Pubitemid 44853583)
5. Hartmann M J, Fernando Brandao G S L and Plenio M B 2008 Quantum many-body phenomena in coupled cavity arrays Laser Photonics Rev. 2 527
6. Angelakis D G, Franca Santos M and Bose S 2007 Photon-blockade-induced Mott transitions and xy spin models in coupled cavity arrays Phys. Rev. A 76 031805
7. Greentree A D, Tahan C, Cole J H and Hollenberg L C L 2006 Quantum phase transitions of light Nature Phys. 2 856-61 (Pubitemid 44853584)
8. Hartmann M J and Plenio M B 2007 Strong photon nonlinearities and photonic mott insulators Phys. Rev. Lett. 99 103601
9. Brandão F G S L, Hartmann M J and Plenio M B 2008 Light-shift-induced photonic nonlinearities New J. Phys. 10 043010
10. Hartmann M J, Brandão F G S L and Plenio M B 2008 A polaritonic two-component Bose-Hubbard model New J. Phys. 10 033011
11. Kiffner M and Hartmann M J 2010 Dissipation-induced Tonks-Girardeau gas of polaritons Phys. Rev. A 81 021806
12. Kiffner M and Hartmann M J 2010 Master equation approach for interacting slow-and stationary-light polaritons Phys. Rev. A 82 033813
13. Hartmann M J 2010 Polariton crystallization in driven arrays of lossy nonlinear resonators Phys. Rev. Lett. 104 113601
14. Reuther G M et al 2010 P Two-resonator circuit quantum electrodynamics: dissipative theory Phys. Rev. B 81 144510
15. Mariantoni M, Deppe F, Marx A, Gross R, Wilhelm F K and Solano E 2008 Two-resonator circuit quantum electrodynamics: a superconducting quantum switch Phys. Rev. B 78 104508
16. Blais A, Huang R, Wallraff A, Girvin S M and Schoelkopf R J 2004 Cavity quantum electrodynamics for superconducting electrical circuits: an architecture for quantum computation Phys. Rev. A 69 062320
17. Wallraff A, Schuster D I, Blais A, Frunzio L, Huang R S, Majer J, Kumar S, Girvin S M and Schoelkopf R J 2004 Strong coupling of a single photon to a superconducting qubit using circuit quantum electrodynamics Nature 431 162-7 (Pubitemid 39243464)
18. Deppe F et al 2008 Two-photon probe of the Jaynes-Cummings model and controlled symmetry breaking in circuit QED Nature Phys. 4 686-91
19. Mallet F, Ong F R, Palacios-Laloy A, Nguyen F, Bertet P, Vion D and Esteve D 2009 Single-shot qubit readout in circuit quantum electrodynamics Nature Phys. 5 791-5
20. Nunnenkamp A, Koch J and Girvin S M 2011 Synthetic gauge fields and homodyne transmission in Jaynes-Cummings lattices New J. Phys. 13 095008
21. Koch J, Andrew Houck A, Karyn Le Hur and Girvin S M 2010 Time-reversal-symmetry breaking in circuit-QED-based photon lattices Phys. Rev. A 82 043811
22. Bourassa J, Gambetta J M, Abdumalikov A A Jr, Astafiev O, Nakamura Y and Blais A 2009 Ultrastrong coupling regime of cavity QED with phase-biased flux qubits Phys. Rev. A 80 032109
23. Mikhailov V V 1983 Ordering of some boson operator functions J. Phys. A: Math. Gen. 16 3817
24. Clarke J and Braginski A I 2004 SQUID Handbook: The Applications of SQUIDS and SQUID Systems (New York: Wiley)
25. Leib M and Hartmann M J 2010 Bose-Hubbard dynamics of polaritons in a chain of circuit quantum electrodynamic cavities New J. Phys. 12 093031
26. Devoret M H 1997 Quantum fluctuations in electrical circuits Les Houches, Session LXIII
27. Niemczyk T et al 2010 Circuit quantum electrodynamics in the ultrastrong-coupling regime Nature Phys. 6 772-6
28. Bourassa J, Beaudoin F, Gambetta J and Blais A 2012 Josephson junction-embedded transmission-line resonators: from Kerr medium to in-line transmon arXiv:1204.2237
29. Castellanos-Beltran M A, Irwin K D, Hilton G C, Vale L R and Lehnert K W 2008 Amplification and squeezing of quantum noise with a tunable Josephson metamaterial Nature Phys. 4 929-31
30. Mohebbi H R and Majedi A H 2009 Analysis of series-connected discrete Josephson transmission line IEEE Trans. Microw. Theory Tech. 57 1865-73
31. Houck A A, Tureci H E and Koch J 2012 On-chip quantum simulation with superconducting circuits Nature Phys. 8 292-9
32. Underwood D, Shanks W, Koch J and Houck A A 2012 Low-disorder microwave cavity lattices for quantum simulation with photons arXiv:1203.5363
33. Mariantoni M, Menzel E P, Deppe F, Araque-Caballero M A, Baust A, Niemczyk T, Hoffmann E, Solano E, Marx A and Gross R 2010 Planck spectroscopy and quantum noise of microwave beam splitters Phys. Rev. Lett. 105 133601
34. Lang C, Bozyigit D, Eichler C, Steffen L, Fink J M, Abdumalikov A A Jr, Baur M, Filipp S, da Silva M P, Blais A and Wallraff A 2011 Observation of resonant photon blockade at microwave frequencies using correlation function measurements Phys. Rev. Lett. 106 243601
35. Bergeal N, Schackert F, Metcalfe M, Vijay R, Manucharyan V E, Frunzio L, Prober D E, Schoelkopf R J, Girvin S M and Devoret M H 2010 Phase-preserving amplification near the quantum limit with a Josephson ring modulator Nature 465 64-68
36. Carusotto I, Gerace D, Tureci H E, De Liberato S, Ciuti C and Imamoǧlu 2009 A fermionized photons in an array of driven dissipative nonlinear cavities Phys. Rev. Lett. 103 033601
37. Schmidt S, Gerace D, Houck A A, Blatter G and Türeci H E 2010 Nonequilibrium delocalization-localization transition of photons in circuit quantum electrodynamics Phys. Rev. B 82 100507
38. Marcos D, Tomadin A, Diehl S and Peter Rabl 2012 Photon condensation in circuit QED by engineered dissipation arXiv:1201.3388v1
39. Tomadin A, Giovannetti V, Fazio R, Gerace D, Carusotto I, Türeci H E and Imamoǧlu A 2010 Signatures of the super fluid-insulator phase transition in laser driven dissipative nonlinear cavity arrays Phys. Rev. A 81 061801