Abstract:
Deriving minimum evolution times is of paramount importance in quantum mechanics. Bounds on the speed of evolution are given by the so called quantum speed limit (QSL). In this work we use quantum optimal control methods to study the QSL for driven many level systems which exhibit local two-level interactions in the form of avoided crossings (ACs). Remarkably, we find that optimal evolution times are proportionally smaller than those predicted by the well-known two-level case, even when the ACs are isolated. We show that the physical mechanism for such enhancement is due to non-trivial cooperative effects between the AC and other levels, which are dynamically induced by the shape of the optimized control field. © 2015 IOP Publishing Ltd.
Registro:
Documento: |
Artículo
|
Título: | Enhancement of quantum speed limit time due to cooperative effects in multilevel systems |
Autor: | Poggi, P.M.; Lombardo, F.C.; Wisniacki, D.A. |
Filiación: | Departamento de Física Juan Jose Giambiagi, IFIBA CONICET-UBA, Facultad de Ciencias Exactas y Naturales, Ciudad Universitaria, Pabellón 1, Buenos Aires, 1428, Argentina
|
Palabras clave: | avoided level crossings; optimal quantum control; quantum mechanics; quantum speed limit; quantum state transfer |
Año: | 2015
|
Volumen: | 48
|
Número: | 35
|
DOI: |
http://dx.doi.org/10.1088/1751-8113/48/35/35FT02 |
Título revista: | Journal of Physics A: Mathematical and Theoretical
|
Título revista abreviado: | J. Phys. Math. Theor.
|
ISSN: | 17518113
|
Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_17518113_v48_n35_p_Poggi |
Referencias:
- Dutt, M.V.G., (2007) Science, 316, pp. 1312-1316. , 1312-6
- Nazarov, Y.V., Blanter, Y.M., (2009) Quantum Transport: Introduction to Nanoscience, , (Cambridge: Cambridge University Press)
- Nielsen, M.A., Chuang, I.L., (2000) Quantum Computation and Quantum Information, , (Cambridge: Cambridge Univervity Press)
- Shapiro, M., Brumer, P., (2011) Quantum Control of Molecular Processes, , (Berlin: Wiley)
- Wiseman, H.M., Milburn, G.J., (2009) Quantum Measurement and Control, , (Cambridge: Cambridge University Press)
- D'Alessandro, D., (2008) Introduction to Quantum Control and Dynamics, , (London: Chapman and Hall)
- Press, D., Ladd, T., Zhang, B., Yamamoto, Y., (2008) Nature, 456, p. 218
- DiCarlo, L., (2009) Nature, 460, p. 240
- Brody, D.C., (2003) J. Phys. A: Math. Gen., 36 (20), pp. 5587-5593. , 5587-93
- Hegerfeldt, G.C., (2013) Phys. Rev. Lett., 111
- Russell, B., Stepney, S., (2014) Phys. Rev., 90
- Hegerfeldt, G.C., (2014) Phys. Rev., 90
- Brody, D.C., Gibbons, G.W., Meier, D.M., D.M (2015) New J. Phys., 17 (3)
- Zhu, W., Botina, J., Rabitz, H., (1998) J. Chem. Phys., 108, p. 1953
- Doria, P., Calarco, T., Montangero, S., (2011) Phys. Rev. Lett., 106
- Mandelstam, L., Tamm, I., (1945) J. Phys. USSR, 9, pp. 249-254. , 249-54
- Fleming, G.N., (1973) Nuovo Cimento, 16, p. 232
- Bhattacharyya, K., (1983) J. Phys. A: Math. Gen., 16 (13), p. 2993
- Pfeifer, P., (1993) Phys. Rev. Lett., 70 (22)
- Margolus, N., Levitin, L.B., (1998) Physica, 120, pp. 188-195. , 188-95
- Levitin, L.B., Toffoli, T., (2009) Phys. Rev. Lett., 103
- Giovannetti, V., Lloyd, S., Maccone, L., (2013) Phys. Rev., 67
- Del Campo, A., Egusquiza, I.L., Plenio, M.B., Huelga, S.F., (2013) Phys. Rev. Lett., 110
- Taddei, M.M., Escher, B.M., Davidovich, L., De Matos Filho, R.L., (2013) Phys. Rev. Lett., 110
- Deffner, S., Lutz, E., (2013) Phys. Rev. Lett., 111
- Andersson, O., Heydari, N., (2014) J. Phys. A: Math. Theor., 47
- Deffner, S., Lutz, E., (2013) J. Phys. A: Math. Theor., 46
- Poggi, P.M., Lombardo, F.C., Wisniacki, D.W., (2013) Europhys. Lett., 104 (4), p. 40005
- Deffner, S., (2014) J. Phys. B: At. Mol. Opt. Phys., 47 (14)
- Caneva, T., (2009) Phys. Rev. Lett., 103
- Zener, C., (1932) Proc. R. Soc., 137, p. 696
- Shevchenko, S.N., Ashhab, S., Nori, F., (2010) Phys. Rep., 492, pp. 1-30. , 1-30
- Zurek, W.H., Dorner, U., Zoller, P., (2005) Phys. Rev. Lett., 95
- Murgida, G.E., Wisniacki, D.A., Tamborenea, P.I., (2007) Phys. Rev. Lett., 99
- Poggi, P.M., Lombardo, F.C., Wisniacki, D.A., (2013) Phys. Rev., 87
- Tichy, M.C., (2013) Phys. Rev., 87
- Lizuain, I., (2010) Phys. Rev., 82
- Gurin, S., Jauslin, H.R., Control of quantum dynamics by laser pulses: Adiabatic Floquet theory (2003) Advances in Chemical Physics, 125, p. 147. , (Hoboken: Wiley) vol
- Tamborenea, P.I., Metiu, H., (1999) Phys. Rev. Lett., 83, p. 3912
- Bason, M.G., (2012) Nat. Phys., 8, pp. 147-152. , 147-52
- Malossi, N., (2013) Phys. Rev., 87
- Montangero, S., Calarco, T., Fazio, R., (2007) Phys. Rev. Lett., 99
- Werschnik, J., Gross, E.K.U., (2007) J. Phys. B: At. Mol. Opt. Phys., 40 (18), p. R175
- Poggi, P., (2015), in preparation; Cimmarusti, A.D., Yan, Z., Patterson, B.D., Corcos, L.P., Orozco, L.A., Deffner, S., (2015) Phys. Rev. Lett., 114
- Moore, K., Rabitz, H., (2012) J. Chem. Phys., 137
- Lloyd, S., Montangero, S., (2014) Phys. Rev. Lett., 113
Citas:
---------- APA ----------
Poggi, P.M., Lombardo, F.C. & Wisniacki, D.A.
(2015)
. Enhancement of quantum speed limit time due to cooperative effects in multilevel systems. Journal of Physics A: Mathematical and Theoretical, 48(35).
http://dx.doi.org/10.1088/1751-8113/48/35/35FT02---------- CHICAGO ----------
Poggi, P.M., Lombardo, F.C., Wisniacki, D.A.
"Enhancement of quantum speed limit time due to cooperative effects in multilevel systems"
. Journal of Physics A: Mathematical and Theoretical 48, no. 35
(2015).
http://dx.doi.org/10.1088/1751-8113/48/35/35FT02---------- MLA ----------
Poggi, P.M., Lombardo, F.C., Wisniacki, D.A.
"Enhancement of quantum speed limit time due to cooperative effects in multilevel systems"
. Journal of Physics A: Mathematical and Theoretical, vol. 48, no. 35, 2015.
http://dx.doi.org/10.1088/1751-8113/48/35/35FT02---------- VANCOUVER ----------
Poggi, P.M., Lombardo, F.C., Wisniacki, D.A. Enhancement of quantum speed limit time due to cooperative effects in multilevel systems. J. Phys. Math. Theor. 2015;48(35).
http://dx.doi.org/10.1088/1751-8113/48/35/35FT02