Research PapersNo Access

Quantum evolution of a qubit state with decoherence and LFC

Chao Wang

Nanjing University of Aeronautics and Astronautics, Jiangsu, Nanjing, China

Search for more papers by this author

and

Jian Luo

Nanjing University of Aeronautics and Astronautics, Jiangsu, Nanjing, China

E-mail Address: jianluo@nuaa.edu.cn

Search for more papers by this author

https://doi.org/10.1142/S0217984916500275Cited by:0 (Source: Crossref)

Abstract

We study the Rabi oscillation of two-level system in double quantum dots, and found that the Rabi oscillation considering decoherence rate is a cycle attenuated oscillation when the qubit energy asymmetry $ε = 0$ $ε = 0$ ( $ε$ $ε$ is the qubit energy asymmetry). The peak of Rabi oscillation alternatively changes in the case of the qubit energy asymmetry $ε = H$ $ε = H$ ( $H$ $H$ is the qubit tunneling matrix element). Moreover, the local field correction (LFC) greatly affects the frequency of Rabi oscillation, in which the Rabi frequency changes fast with LFC increasing.

Keywords:

References

1. S. Gurvitz and G. Berman, Phys. Rev. B 72 (2005) 073303. Crossref, Web of Science, ADS, Google Scholar
2. A. Sitek and A. Manolescu, Opt. Quant. Electron. 46 (2014) 613–621. Crossref, Web of Science, Google Scholar
3. J. R. Petta, A. C. Johnson, J. M. Taylor, E. A. Laird, A. Yacoby, M. D. Lukin, C. M. Marcus, M. P. Hanson and A. C. Gossard, Science 309 (2005) 2180–2184. Crossref, Web of Science, ADS, Google Scholar
4. R. Barankov, L. Levitov and B. Spivak, Phys. Rev. Lett. 93 (2004) 160401. Crossref, Web of Science, ADS, Google Scholar
5. V. B. Braginsky, F. Y. Khalili and A. A. Kulaga, Phys. Lett. A 202 (1995) 1–6. Crossref, Web of Science, ADS, Google Scholar
6. D. Giulini, E. Joos, C. Kiefer, J. Kupsch, I. O. Stamatescu and H. D. Zeh, Decoherence and the Appearance of a Classical World in Quantum Theory (Springer-Verlag, Berlin, 1996). Crossref, Google Scholar
7. M. B. Mensky, Usp. Fiz. Nauk 168 (1998) 1017–1035. Crossref, Web of Science, Google Scholar
8. C. Presilla, R. Onofrio and U. Tambini, Ann. Phys. 248 (1996) 95–121. Crossref, Web of Science, ADS, Google Scholar
9. U. Weiss, Quantum Dissipative Systems (World Scientific Publishing, Singapore, 1999). Link, Google Scholar
10. D. Loss and D. P. DiVincenzo, Phys. Rev. A 57 (1998) 120–126. Crossref, Web of Science, ADS, Google Scholar
11. N. Katz, M. Neeley, M. Ansmann, R. C. Bialczak, M. Hofheinz, E. Lucero, A. O’Connell, H. Wang, A. N. Cleland, J. M. Martinis and A. N. Korotkov, Phys. Rev. Lett. 101 (2008). Google Scholar
12. A. Auffeves, P. Maioli, T. Meunier, S. Gleyzes, G. Nogues, M. Brune, J. M. Raimond and S. Haroche, Phys. Rev. Lett. 91 (2003). Crossref, Web of Science, Google Scholar
13. R. Ruskov and A. N. Korotkov, Phys. Rev. B 67 (2003). Google Scholar
14. W. H. Zurek, Rev. Mod. Phys. 75 (2003) 715–775. Crossref, Web of Science, ADS, Google Scholar
15. A. N. Korotkov, Phys. Rev. B 63 (2001). Google Scholar
16. C. H. Bennett, Phys. Today 48 (1995) 24–30. Crossref, Web of Science, Google Scholar
17. K. Y. Xia, S. Q. Gong, C. P. Liu, X. H. Song and Y. P. Niu, Opt. Express 13 (2005) 5913–5924. Crossref, Web of Science, ADS, Google Scholar
18. H. Ma, X. Fan, X. Tan, H. Lu and Z. Xu, Opt. Communi. 281 (2008) 4493–4498. Crossref, Web of Science, ADS, Google Scholar
19. H. Htoon, T. Takagahara, D. Kulik, O. Baklenov, A. L. Holmes and C. K. Shih, Phys. Rev. Lett. 88 (2002). Crossref, Web of Science, Google Scholar
20. T. H. Stievater, X. Q. Li, D. G. Steel, D. Gammon, D. S. Katzer, D. Park, C. Piermarocchi and L. J. Sham, Phys. Rev. Lett. 87 (2001). Crossref, Web of Science, Google Scholar
21. S. A. Gurvitz, Phys. Rev. B: Condens. Matter 56 (1997) 15215–15223. Crossref, Web of Science, ADS, Google Scholar
22. D. Sprinzak, E. Buks, M. Heiblum and H. Shtrikman, Phys. Rev. Lett. 84 (2000) 5820–5823. Crossref, Web of Science, ADS, Google Scholar
23. A. Korotkov, Phys. Rev. B 63 (2001) 085312. Crossref, Web of Science, ADS, Google Scholar
24. A. Korotkov and D. Averin, Phys. Rev. B 64 (2001) 165310. Crossref, Web of Science, ADS, Google Scholar
25. E. Buks, R. Schuster, M. Heiblum, D. Mahalu and V. Umansky, Nature 391 (1998) 871–874. Crossref, Web of Science, ADS, Google Scholar
26. A. N. Korotkov, Phys. Rev. B 60 (1999) 5737–5742. Crossref, Web of Science, ADS, Google Scholar
27. H.-S. Goan and G. Milburn, Phys. Rev. B 64 (2001) 235307. Crossref, Web of Science, ADS, Google Scholar
28. I. L. Aleiner, N. S. Wingreen and Y. Meir, Phys. Rev. Lett. 79 (1997) 3740–3742. Crossref, Web of Science, ADS, Google Scholar
29. Y. Levinson, Europhys. Lett. 39 (1997) 299–304. Crossref, ADS, Google Scholar
30. L. Stodolsky, Phys. Lett. B 459 (1999) 193–200. Crossref, Web of Science, ADS, Google Scholar
31. A. Shnirman and G. Schön, Phys. Rev. B 57 (1998) 15400–15407. Crossref, Web of Science, ADS, Google Scholar