Exploiting environmental resonances to enhance qubit quality factors

Physical Review B - Condensed Matter and Materials Physics

Volumn 70, Issue 1, 2004, Pages

  Kleff, Silvia ^a   Kehrein, Stefan ^b   Von Delft, Jan ^a  

^a UNIVERSITY OF MUNICH   (Germany)

^b UNIVERSITY OF AUGSBURG   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; ENVIRONMENT; MATHEMATICAL ANALYSIS; NUCLEAR MAGNETIC RESONANCE; OSCILLATION; QUALITY CONTROL; SPECTROSCOPY;

EID: 42749099742     PISSN: 01631829     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevB.70.014516     Document Type: Article

References (20)

1. U. Weiss, Quantum Dissipative Systems (World Scientific, Singapore, 1999), Vol. 10.
2. C. van der Wal, A. ter Haar, F. Wilhelm, R. Schouten, C. Harmans, T. Orlando, S. Lloyd, and J. Mooij, Science 290, 773 (2000).
3. C. van der Wal, F. Wilhelm, C. Harmans, and J. Mooij, Eur. Phys. J. B 31, 111 (2003).
4. I. Chiorescu, Y. Nakamura, C. Harmans, and J. Mooij, Science 299, 1869 (2003).
5. This model also has other applications. See M. Thorwart, L. Hartmann, I. Goychuk, and P. Hänggi, J. Mod. Opt. 47, 2905 (2000) and Ref. 6.
6. A. Garg, J. Onuchic, and V. Ambegaokar, J. Chem. Phys. 83, 4491 (1985).
7. F. Wegner, Ann. Phys. (Leipzig) 3, 77 (1994).
8. S. Glazek and K. Wilson, Phys. Rev. D 48, 5863 (1993); 49, 4214 (1994).
9. S. Glazek and K. Wilson, Phys. Rev. D 48, 5863 (1993); 49, 4214 (1994).
10. S. Kehrein and A. Mielke, Ann. Phys. (Leipzig) 6, 90 (1997).
11. Our ε ≠ 0 Ansatz does not reduce smoothly when ε →- 0 to the ε = 0 Ansatz of Ref. 9, but the results agree for sufficiently small α ≲ 0.02.
12. T. Stauber and A. Mielke, Phys. Lett. A 305, 275 (2002).
13. S. Kleff, Ph.D. thesis, LMU München, 2003.
14. M. Keil and H. Schoeller, Phys. Rev. B 63, 180302 (2001).
15. M. Grifoni, E. Paladino, and U. Weiss, Eur. Phys. J. B 10, 719 (1999).
16. S. Kleff, S. Kehrein, und J. von Delft, J. Phys. Soc. Jpn. 72, Suppl. A 161 (1999).
17. The steepness of the slope is reminiscent of an instability for a dissipative harmonic oscillator coupled to a structured bath with the same parameters: from its exact solution for arbitrary J(ω) (Ref. 17) one can infer similar (and even steeper) zero temperature curves as in Fig. 3(b) where the oscillator frequency is renormalized downward and becomes negative as Δ(0)/Ω decreases past 1.
18. F. Haake and R. Reibold, Phys. Rev. A 32, 2462 (1985).
19. Only contributions from the second and third line of Eq. (9) are shown in Fig. 4(b). The δ-function of the first line corresponds to a constant part of C(t).
20. M. Thorwart, E. Paladino, and M. Grifoni, Chem. Phys. 296, 333 (2004).