Comparison between decoherence time for a two-state spin ½ system with its corresponding quantum retrieval period

• Autorzy: Afshin Shafiee , Arash Tirandaz
• Języki publikacji: EN

Abstrakty

EN

The evolution of a two-state quantum system (a spin ½ particle) in both the framework of standard quantum mechanics and under the decoherence regime is considered. The former approach on this issue is the well-known quantum flipping process of a dichotomic system subjected to a time-dependent magnetic field. In the latter approach, the Spin-Boson model is utilized to describe the interaction of system with its environment and the Born-Markov master equation is derived to obtain the decoherence time. It is possible to show that under certain conditions, one may find a potential conflict between the predictions of decoherence theory and the result observed in a typical quantum flipping experiment.

Słowa kluczowe

EN

decoherence; quantum to classical transition; quantum flipping; decoherence time

• Czasopismo: Open Physics
• Rocznik: 2011
• Tom: 9
• Numer: 6
• Strony: 1410-1420

Daty

wydano

2011-12-01

online

2011-10-15

Twórcy

autor

Afshin Shafiee

• Research Group on Foundation of Quantum Theory and Information, Department of Chemistry, Sharif University of Technology, P.O.Box 11365-9516, Tehran, Iran,

autor

Arash Tirandaz

• Research Group on Foundation of Quantum Theory and Information, Department of Chemistry, Sharif University of Technology, P.O.Box 11365-9516, Tehran, Iran,

Bibliografia

• [1] G. Ghirardi, C. Rimini, A. Weber, J. Math. Phys. 23, 1792 (1982) http://dx.doi.org/10.1063/1.525232[Crossref]
• [2] D. Bohm, J. Bub, Rev. Mod. Phys. 38, 453 (1966) http://dx.doi.org/10.1103/RevModPhys.38.453[Crossref]
• [3] H. Everret, Rev. Mod. Phys. 29, 454 (1957) http://dx.doi.org/10.1103/RevModPhys.29.454[Crossref]
• [4] V. Frassen, A formal approach to the philosophy of science, in Paradigms and Paradoxes: The Philosophical Challenge of the Quantum Domain (University of Pittsburgh Press, Pittsburgh, 1972)
• [5] M. Schlosshauer, Rev. Mod. Phys. 76, 1267 (2004) http://dx.doi.org/10.1103/RevModPhys.76.1267[Crossref]
• [6] W.H. Zurek, Phys. Rev. D 24, 1516 (1981) http://dx.doi.org/10.1103/PhysRevD.24.1516[Crossref]
• [7] W.H. Zurek, Phys. Rev. D 26, 1862 (1982) http://dx.doi.org/10.1103/PhysRevD.26.1862[Crossref]
• [8] M. Schlosshauer, Decoherence and the quantum to classical transition, (Springer Press, 2007)
• [9] H. Ollivier, D. Poulin, W.H. Zurek, Phys. Rev. Lett. 93, 220401 (2004) http://dx.doi.org/10.1103/PhysRevLett.93.220401[Crossref]
• [10] A. Bassi, G.C. Ghirardi, Phys. Lett. A, 275 (2000)
• [11] B. d’Espagnat, Phys. Lett. A 282, 131 (2001)
• [12] O. Pessoa, Synthese 113, 323 (1998) http://dx.doi.org/10.1023/A:1004994303863[Crossref]
• [13] S. Adler, Stud. Hist. Philos. M. P. 34B, 135 (2003) http://dx.doi.org/10.1016/S1355-2198(02)00086-2[Crossref]
• [14] W.H. Zurek, Prog. Theor. Phys. 89, 281 (1993) http://dx.doi.org/10.1143/PTP.89.281[Crossref]
• [15] M.O. Scully, K. Druhl, Phys. Rev. A 25, 2208 (1982) http://dx.doi.org/10.1103/PhysRevA.25.2208[Crossref]
• [16] J.J. Sakurai, Modern Quantum Mechanics, Revised edition (Addison-Wesley Publishing Company, 1993)
• [17] E. Joos, H.D. Zeh, Z. Phys. B Con. Mat. 59, 223 (1985) http://dx.doi.org/10.1007/BF01725541[Crossref]
• [18] W.H. Zurek, Rev. Mod. Phys. 75, 715 (2003) http://dx.doi.org/10.1103/RevModPhys.75.715[Crossref]
• [19] A.O. Caldera, A.J. Legget, Physica A 32, 587 (1983) http://dx.doi.org/10.1016/0378-4371(83)90013-4[Crossref]
• [20] D.F. Walls, M.J. Collet, G.J. Milburn, Phys. Rev. D 32, 3208 (1985) http://dx.doi.org/10.1103/PhysRevD.32.3208[Crossref]
• [21] M. Dube, P.C.E. Stamp, Chem. Phys. 268, 257 (2001) http://dx.doi.org/10.1016/S0301-0104(01)00303-2[Crossref]
• [22] R.P. Puri, Mathematical Methods Of Quantum Optics (Springer, 2001)

Identyfikatory

DOI

10.2478/s11534-011-0047-y