Dynamics of collective decoherence and thermalization

Annals of Physics

Volumn 323, Issue 12, 2008, Pages 3091-3112

  Merkli, M ^a   Berman, G P ^b   Sigal, I M ^c  

^a MEMORIAL UNIVERSITY OF NEWFOUNDLAND   (Canada)

^b LOS ALAMOS NATIONAL LABORATORY   (United States)

^c UNIVERSITY OF TORONTO   (Canada)

Author keywords

Decoherence; Decoherence rate; Level shift operator; Open quantum system; Quantum register; Quantum resonance theory; Qubit; Reduced density matrix; Spin system; Thermal equilibrium; Thermal reservoir; Thermalization rate

Indexed keywords

EID: 54849437476     PISSN: 00034916     EISSN: 1096035X     Source Type: Journal    
DOI: 10.1016/j.aop.2008.07.004     Document Type: Article

References (28)

1. Altepeter J.B., Hadley P.G., Wendelken S.M., Berglund A.J., and Kwiat P.G. Phys. Rev. Lett. 92 14 (2004) 147901
2. Ao P., and Rammer J. Phys. Rev. B 43 (1991) 5397-5418
3. Araki H., and Woods E.J. J. Math. Phys. 4 (1963) 637-662
4. Bach V., Fröhlich J., and Sigal I.M. Adv. Math. 137 (1998) 205-298
5. Berman G.P., Kamenev D.I., and Tsifrinovich V.I. Phys. Rev. A 71 (2005) 032346
6. Breuer H.-P., and Petruccione F. The Theory of Open Quantum Systems (2002), Oxford University Press, Oxford
7. Bratteli O., and Robinson D.W. Operator Algebras and Quantum Statistical Mechanics. Parts I and II (1987), Springer, Berlin
8. Davies E.B. Commun. Math. Phys. 39 (1974) 91
9. Davies E.B. Math. Ann. 219 (1976) 147-158
10. J. Dereziński, R. Früboes, Fermi golden rule and open quantum systems, in: Lecture Notes in Mathematics 1882, Springer, Berlin, 2006.
11. Duan L.-M., and Guo G.-C. Phys. Lett. A 243 (1998) 265-269
12. Fedorov A., and Fedichkin L. J. Phys. Condens. Matter 18 (2006) 3217-3228
13. Fröhlich J., and Merkli M. Commun. Math. Phys. (2003)
14. Jakšić V., and Pillet C.-A. Commun. Math. Phys. 226 1 (2002) 131-162
15. Jakšić V., and Pillet C.-A. Commun. Math. Phys. 176 3 (1996) 619-644
16. Jakšić V., and Pillet C.-A. Ann. Inst. Henri Poincaré 67 4 (1997) 425-445
17. Merkli M. J. Math. Anal. Appl. 327 1 (2007) 376-399
18. M. Merkli, The ideal quantum gas. Open quantum systems I, in: Lecture Notes in Math 1880, Springer, Berlin, 2006, pp. 183-233.
19. Merkli M., Mück M., and Sigal I.M. J. Funct. Anal. 243 1 (2007) 87-120
20. Merkli M., Mück M., and Sigal I.M. Ann. Henri Poincaré 8 (2007) 1539-1593
21. Merkli M., Sigal I.M., and Berman G.P. Ann. Phys. 323 (2008) 373-412
22. Merkli M., Sigal I.M., and Berman G.P. Phys. Rev. Lett. 98 13 (2007) 130401
23. Nielsen M.A., and Chuang I.L. Quantum Computation and Quantum Information (2000), Cambridge University Press, Cambridge
24. Palma G.M., Suominen K.-A., and Ekert A.K. Proc. R. Soc. Lond. A 452 (1996) 567-584
25. J.P. Paz, A.J. Roncaglia, Dynamics of the entanglement between two oscillators in the same environment, preprint, 0801.0464v1 [quant-ph] 3 January 2008.
26. Sorensen A., Duan L.-M., Cirac J.I., and Zoller P. Nature 409 4 (2001) 63-66
27. Schlosshauer M. The Frontiers Collection (2007), Springer, Berlin
28. S. Utsunomiya, C.P. Master, Y. Yamamoto, Algorithm-Based Analysis of Collective Decoherence in Quantum Computation, quant-ph/0408162v1, 2004.