| FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
|
|
|
|
The Spectrum in Qubit-Oscillator Systems in the Ultrastrong Coupling Regime |
| CHEN Qing-Hu1,2**, LI Lei3, LIU Tao3, WANG Ke-Lin4 |
1Center for Statistical and Theoretical Condensed Matter Physics, Zhejiang Normal University, Jinhua 321004
2Department of Physics, Zhejiang University, Hangzhou 310027
3School of Science, Southwest University of Science and Technology, Mianyang 621010
4Department of Modern Physics, University of Science and Technology of China, Hefei 230026
|
|
| Cite this article: |
|
CHEN Qing-Hu, LI Lei, LIU Tao et al 2012 Chin. Phys. Lett. 29 014208 |
|
|
|
|
Abstract Recent measurement on an LC resonator magnetically coupled to a superconducting qubit [Phys. Rev. Lett. 105 (2010) 237001] shows that the system operates in the ultra-strong coupling regime and crosses the limit of validity for the rotating-wave approximation of the Jaynes–Cummings model. By using extended bosonic coherent states, we solve the Jaynes–Cummings model exactly without using the rotating-wave approximation. Our numerically exact results for the spectrum of the flux qubit coupled to the LC resonator are fully consistent with the experimental observations. The smallest Bloch–Siegert shift obtained is consistent with that observed in this experiment. In addition, the Bloch–Siegert shifts in arbitrary level transitions and for arbitrary coupling constants are predicted.
|
| Keywords:
42.50.Pq
03.65.Ge
85.25.Cp
03.67.Lx
|
|
|
Received: 13 September 2011
Published: 07 February 2012
|
|
| PACS: |
42.50.Pq
|
(Cavity quantum electrodynamics; micromasers)
|
| |
03.65.Ge
|
(Solutions of wave equations: bound states)
|
| |
85.25.Cp
|
(Josephson devices)
|
| |
03.67.Lx
|
(Quantum computation architectures and implementations)
|
|
|
|
|
|
[1] Jaynes E T and Cummings F W 1963 Proc. IEEE 51 89
[2] Wallraff A et al 2004 Nature 431 162
Simmonds R W et al 2005 Phys. Rev. Lett. 93 077003
[3] Yu Y et al 2002 Science 296 889
Chiorescu I et al 2003 Science 299 1869
[4] Chiorescu I et al 2004 Nature 431 159
Johansson J et al 2006 Phys. Rev. Lett. 96 127006
[5] Forn Díaz P et al 2010 Phys. Rev. Lett. 105 237001
[6] Schuster D I et al 2007 Nature 445 515
[7] Deppe F et al 2008 Nature Phys. 4 686
[8] Fink J et al 2008 Nature 454 315
[9] Hofheinz M et al 2009 Nature 459 546
[10] Liu T, Wang K L and Feng M 2009 Europhys. Lett. 86 54003
[11] Chen Q H, Zhang Y Y, Liu T and Wang K L 2008 Phys. Rev. A 78 051801
[12] Zheng H, Zhu S Y and Zubairy M S 2008 Phys. Rev. Lett. 101 200404
[13] Liu T, Zhang Y Y, Chen Q H and Wang K L 2009 Phys. Rev. A 80 023810
[14] Amico L et al 2007 Nucl. Phys. B 787 283
[15] Zhang Y Y, Chen Q H and Wang K L 2010 Phys. Rev. B 81 121105
[16] Chen Q H, Liu T, Zhang Y Y and Wang K L 2011 Europhys. Lett. 96 14003
[17] Liu Y X et al 2005 Phys. Rev. Lett. 95 087001
[18] Devoret M et al 2007 Ann. Phys. (Leipzig) 16 767
[19] Bourassa J et al 2009 Phys. Rev. A 80 032109
[20] Niemczyk T et al 2010 Nature Physics 6 772
[21] Fragner A et al 2008 Science 322 1357
|
|
Viewed |
|
|
|
Full text
|
|
|
|
|
Abstract
|
|
|
|
|
