Abstract:
We examine two exactly solvable models of decoherence-a central spin-system, (i) with and (ii) without a self-Hamiltonian, interacting with a collection of environment spins. In the absence of a self-Hamiltonian we show that in this model (introduced some time ago to illustrate environment-induced superselection) generic assumptions about the coupling strengths can lead to a universal (Gaussian) suppression of coherence between pointer states. On the other hand, we show that when the dynamics of the central spin is dominant a different regime emerges, which is characterized by a non-Gaussian decay and a dramatically different set of pointer states. We explore the regimes of validity of the Gaussian decay and discuss its relation to the spectral features of the environment and to the Loschmidt echo (or fidelity). © 2005 The American Physical Society.
Registro:
Documento: |
Artículo
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Título: | Decoherence from spin environments |
Autor: | Cucchietti, F.M.; Paz, J.P.; Zurek, W.H. |
Filiación: | Theoretical Division, Los Alamos National Laboratory, MS B213, Los Alamos, NM 87545, United States Departmento de Física, FCEyN, Ciudad Universitaria, 1428 Buenos Aires, Argentina
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Palabras clave: | Gaussian decay; Pointer states; Spectral features; Acoustic wave propagation; Gaussian noise (electronic); High energy physics; Hamiltonians |
Año: | 2005
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Volumen: | 72
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Número: | 5
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DOI: |
http://dx.doi.org/10.1103/PhysRevA.72.052113 |
Título revista: | Physical Review A - Atomic, Molecular, and Optical Physics
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Título revista abreviado: | Phys Rev A
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ISSN: | 10502947
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CODEN: | PLRAA
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_10502947_v72_n5_p_Cucchietti |
Referencias:
- Zurek, W.H., (1982) Phys. Rev. D, 26, p. 1862. , PRVDAQ 0556-2821 10.1103/PhysRevD.26.1862
- Zurek, W.H., (1991) Phys. Today, 44 (10), p. 36. , PHTOAD 0031-9228 10.1103/PhysRevD.24.151610.1103/PhysRevD.26.1862
- Paz, J.P., Zurek, W.H., (2001) Coherent Matter Waves, pp. 533-614. , edited by R. Kaiser, C. Westbrook, and F. David, Les Houches Session LXXII, EDP Sciences (Springer-Verlag, Berlin
- Zurek, W.H., (2003) Rev. Mod. Phys., 75, p. 715. , RMPHAT 0034-6861 10.1103/RevModPhys.75.715
- Nielsen, M.A., Chuang, I.L., (2000) Quantum Computation and Quantum Information, , Cambridge University Press, Cambridge, England
- Hu, B.L., Paz, J.P., Zhang, Y., (1992) Phys. Rev. D, 45, p. 2843. , PRVDAQ 0556-2821 10.1103/PhysRevD.45.2843
- Zurek, W.H., Habib, S., Paz, J.P., (1993) Phys. Rev. Lett., 70, p. 1187. , PRLTAO 0031-9007 10.1103/PhysRevLett.70.1187
- Paz, J.P., Zurek, W.H., (1999) Phys. Rev. Lett., 82, p. 5181. , PRLTAO 0031-9007 10.1103/PhysRevLett.82.5181
- Kossakowski, A., (1973) Bull. Acad. Pol. Sci., Ser. Sci., Math., Astron. Phys., 21, p. 649. , BAPMAM 0001-4117
- Lindblad, G., (1976) Commun. Math. Phys., 48, p. 119. , CMPHAY 0010-3616 10.1007/BF01608499
- Preskill, J., (1999) Phys. Today, 52 (6), p. 24. , PHTOAD 0031-9228
- Casati, G., Chirikov, B.V., Guarneri, I., Izrailev, F.M., (1993) Phys. Rev. E, 48, p. 1613. , PLEEE8 1063-651X 10.1103/PhysRevE.48.R1613
- Casati, G., Chirikov, B.V., Guarneri, I., Izrailev, F.M., (1996) Phys. Lett. A, 223, p. 430. , PYLAAG 0375-9601 10.1016/S0375-9601(96)00784-0
- Gnedenko, B.V., (1968) The Theory of Probability, , fourth edition (Chelsea, New York
- Breiman, L., (1992) Probability, , Classics in Applied Mathematics, No. 7 (SIAM, Philadelphia
- Abragam, A., (1978) The Principles of Nuclear Magnetism, , Clarendon Press, Oxford
- Cheung, T.T.P., (1981) Phys. Rev. B, 23, p. 1404. , PRBMDO 0163-1829 10.1103/PhysRevB.23.1404
- Jalabert, R.A., Pastawski, H.M., (2001) Phys. Rev. Lett., 86, p. 2490. , PRLTAO 0031-9007 10.1103/PhysRevLett.86.2490
- Jacquod, Ph., Silvestrov, P.G., Beenakker, C.W.J., (2001) Phys. Rev. E, 64, p. 055203. , PLEEE8 1063-651X 10.1103/PhysRevE.64.055203
- Cucchietti, F.M., Pastawski, H.M., Jalabert, R.A., (2004) Phys. Rev. B, 70, p. 035311. , PRBMDO 0163-1829 10.1103/PhysRevB.70.035311
- Cucchietti, F.M., Dalvit, D.A.R., Paz, J.P., Zurek, W.H., (2003) Phys. Rev. Lett., 91, p. 210403. , PRLTAO 0031-9007 10.1103/PhysRevLett.91.210403
- Heller, E., (1990) Chaos and Quantum Physics, , edited by A. Voros and M. J. Giannoni Proceedings of the Les Houches Summer School, LII (North-Holland, Amsterdam
- Dobrovitski, V.V., De Raedt, H.A., Katsnelson, M.I., Harmon, B.N., quant-ph/0112053; Slichter, C.P., (1990) Principles of Magnetic Resonance, 1. , Springer Series in Solid-State Sciences (Springer-Verlag, New York
- Braun, D., Haake, F., Strunz, W.T., (2001) Phys. Rev. Lett., 86, p. 2913. , PRLTAO 0031-9007 10.1103/PhysRevLett.86.2913
- Strunz, W.T., Haake, F., Braun, D., (2003) Phys. Rev. A, 67, p. 022101. , PLRAAN 1050-2947 10.1103/PhysRevA.67.022101
- Tolkunov, D., Privman, V., (2004) Phys. Rev. A, 69, p. 062309. , PLRAAN 1050-2947 10.1103/PhysRevA.69.062309
- Paladino, E., Faoro, L., Falci, G., Fazio, R., (2002) Phys. Rev. Lett., 88, p. 228304. , PRLTAO 0031-9007 10.1103/PhysRevLett.88.228304
- Dobrovitski, V.V., De Raedt, H.A., (2003) Phys. Rev. E, 67, p. 056702. , PLEEE8 1063-651X 10.1103/PhysRevE.67.056702
- De Raedt, H.A., Dobrovitski, V.V., quant-ph/0301121; De Raedt, H.A., Dobrovitski, V.V., (2004) Computer Simulation Studies in Condensed-Matter Physics XVI, , edited by D. Landau, S. P. Lewis, and B. Schuttler (Springer-Verlag, Berlin
- Schliemann, J., Khaetskii, A.V., Loss, D., (2002) Phys. Rev. B, 66, p. 245303. , PRBMDO 0163-1829 10.1103/PhysRevB.66.245303
- Schlosshauer, M., (2005) Phys. Rev. A, 72, p. 012109. , PLRAAN 1050-2947 10.1103/PhysRevA.72.012109
- Dawson, C.M., Hines, A.P., McKenzie, R.H., Milburn, G.J., (2005) Phys. Rev. A, 71, p. 052321. , PLRAAN 1050-2947 10.1103/PhysRevA.71.052321
- Zurek, W.H., (2000) Ann. Phys., 9, p. 855. , ANPYA2 0003-3804 10.1002/1521-3889(200011)9:11/12<855::AID- ANDP855>3.0.CO;2-K
- Ollivier, H., Poulin, D., Zurek, W.H., (2004) Phys. Rev. Lett., 93, p. 220401. , PRLTAO 0031-9007 10.1103/PhysRevLett.93.220401
- Blume-Kohout, R., Zurek, W.H., quant-ph/0408147; Kota, V.K.B., (2001) Phys. Rep., 347, p. 223. , PRPLCM 0370-1573 10.1016/S0370-1573(00)00113-7
- Flambaum, V.V., Izrailev, F.M., (2000) Phys. Rev. E, 61, p. 2539. , PLEEE8 1063-651X 10.1103/PhysRevE.61.2539
- Flaumbaum, V.V., (2000) Aust. J. Phys., 53, p. 489. , AUJPAS 0004-9506
Citas:
---------- APA ----------
Cucchietti, F.M., Paz, J.P. & Zurek, W.H.
(2005)
. Decoherence from spin environments. Physical Review A - Atomic, Molecular, and Optical Physics, 72(5).
http://dx.doi.org/10.1103/PhysRevA.72.052113---------- CHICAGO ----------
Cucchietti, F.M., Paz, J.P., Zurek, W.H.
"Decoherence from spin environments"
. Physical Review A - Atomic, Molecular, and Optical Physics 72, no. 5
(2005).
http://dx.doi.org/10.1103/PhysRevA.72.052113---------- MLA ----------
Cucchietti, F.M., Paz, J.P., Zurek, W.H.
"Decoherence from spin environments"
. Physical Review A - Atomic, Molecular, and Optical Physics, vol. 72, no. 5, 2005.
http://dx.doi.org/10.1103/PhysRevA.72.052113---------- VANCOUVER ----------
Cucchietti, F.M., Paz, J.P., Zurek, W.H. Decoherence from spin environments. Phys Rev A. 2005;72(5).
http://dx.doi.org/10.1103/PhysRevA.72.052113