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Ares, N.; Wisniacki, D.A. "Loschmidt echo and the local density of states" (2009) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 80(4)
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Abstract:

Loschmidt echo (LE) is a measure of reversibility and sensitivity to perturbations of quantum evolutions. For weak perturbations its decay rate is given by the width of the local density of states (LDOS). When the perturbation is strong enough, it has been shown in chaotic systems that its decay is dictated by the classical Lyapunov exponent. However, several recent studies have shown an unexpected nonuniform decay rate as a function of the perturbation strength instead of that Lyapunov decay. Here we study the systematic behavior of this regime in perturbed cat maps. We show that some perturbations produce coherent oscillations in the width of LDOS that imprint clear signals of the perturbation in LE decay. We also show that if the perturbation acts in a small region of phase space (local perturbation) the effect is magnified and the decay is given by the width of the LDOS. © 2009 The American Physical Society.

Registro:

Documento: Artículo
Título:Loschmidt echo and the local density of states
Autor:Ares, N.; Wisniacki, D.A.
Filiación:Departamento de Física J. J. Giambiagi, FCEN, Ciudad Universitaria, C1428EGA Buenos Aires, Argentina
Palabras clave:Cat map; Coherent oscillations; Decay rate; Local density of state; Local perturbation; Loschmidt echoes; Lyapunov decay; Lyapunov exponent; Nonuniform; Perturbation strength; Phase spaces; Quantum evolution; Small region; Weak perturbation; Chaotic systems; Differential equations; Phase space methods; Decay (organic)
Año:2009
Volumen:80
Número:4
DOI: http://dx.doi.org/10.1103/PhysRevE.80.046216
Título revista:Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Título revista abreviado:Phys. Rev. E Stat. Nonlinear Soft Matter Phys.
ISSN:15393755
CODEN:PLEEE
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v80_n4_p_Ares

Referencias:

  • Nielsen, M.A., Chuang, I.L., (2000) Quantum Computation and Quantum Information, , Cambridge University Press, Cambridge
  • Rice, S.A., Zhao, M., (2000) Optical Control of Molecular Dynamics, , Wiley, New York
  • Datta, S., (2005) Quantum Transport: Atom to Transistor, , Cambridge University Press, Cambridge
  • Raimond, J.M., Brune, M., Haroche, S., (2001) Rev. Mod. Phys., 73, p. 565. , 10.1103/RevModPhys.73.565
  • Sohn, L.L., Kouwenhoven, L.P., Schön, G., (1997) Mesoscopic Electron Transport, , Springer, New York
  • Peres, A., (1984) Phys. Rev. A, 30, p. 1610. , 10.1103/PhysRevA.30.1610
  • Jalabert, R.A., Pastawski, H.M., Environment-independent decoherence rate in classically chaotic systems (2001) Physical Review Letters, 86 (12), pp. 2490-2493. , DOI 10.1103/PhysRevLett.86.2490
  • Jacquod, Ph., Silvestrov, P.G., Beenakker, C.W.J., (2001) Phys. Rev. e, 64, p. 055203. , 10.1103/PhysRevE.64.055203
  • Gorin, T., Prosen, T., Seligman, T.H., Znidaric, M., Dynamics of Loschmidt echoes and fidelity decay (2006) Physics Reports, 435 (2-5), pp. 33-156. , DOI 10.1016/j.physrep.2006.09.003, PII S0370157306003310
  • Jacquod, Ph., Petitjean, C., (2009) Adv. Phys., 58, p. 67. , 10.1080/00018730902831009
  • Wisniacki, D.A., Cohen, D., Quantum irreversibility, perturbation independent decay, and the parametric theory of the local density of states (2002) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 66 (4), pp. 046209/1-046209/7. , http://scitation.aip.org/getpdf/servlet/GetPDFServlet?filetype= pdf&id=PLEEE8000066000004046209000001&idtype=cvips, DOI 10.1103/PhysRevE.66.046209, 046209
  • Wisniacki, D.A., (2003) Phys. Rev. e, 67, p. 016205. , 10.1103/PhysRevE.67.016205
  • Gutiérrez, M., Goussev, A., (2009) Phys. Rev. e, 79, p. 046211. , 10.1103/PhysRevE.79.046211
  • Andersen, M.F., Kaplan, A., Grunzweig, T., Davidson, N., Decay of quantum correlations in atom optics billiards with chaotic and mixed dynamics (2006) Physical Review Letters, 97 (10), p. 104102. , http://oai.aps.org/oai?verb=GetRecord&Identifier=oai:aps.org: PhysRevLett.97.104102&metadataPrefix=oai_apsmeta_2, DOI 10.1103/PhysRevLett.97.104102
  • Wang, W.G., Casati, G., Li, B., (2004) Phys. Rev. e, 69, p. 025201. , 10.1103/PhysRevE.69.025201
  • Wang, W.G., Casati, G., Li, B., Prosen, T., (2005) Phys. Rev. e, 71, p. 037202. , 10.1103/PhysRevE.71.037202
  • Wang, W.G., Li, B., (2005) Phys. Rev. e, 71, p. 066203. , 10.1103/PhysRevE.71.066203
  • Pozzo, E.N., Dominguez, D., Fidelity and quantum chaos in the mesoscopic device for the Josephson flux qubit (2007) Physical Review Letters, 98 (5), p. 057006. , http://oai.aps.org/oai?verb=GetRecord&Identifier=oai:aps.org: PhysRevLett.98.057006&metadataPrefix=oai_apsmeta_2, DOI 10.1103/PhysRevLett.98.057006
  • Goussev, A., Waltner, D., Richter, K., Jalabert, R.A., (2008) N. J. Phys., 10, p. 093010. , 10.1088/1367-2630/10/9/093010
  • Höhmann, R., Kuhl, U., Stöckmann, H.-J., (2008) Phys. Rev. Lett., 100, p. 124101. , 10.1103/PhysRevLett.100.124101
  • Cohen, D., Heller, E.J., (2000) Phys. Rev. Lett., 84, p. 2841. , 10.1103/PhysRevLett.84.2841;
  • Cohen, D., Barnett, A., Heller, E.J., (2001) Phys. Rev. e, 63, p. 046207. , 10.1103/PhysRevE.63.046207
  • Vanicek, J., Dephasing representation: Employing the shadowing theorem to calculate quantum correlation functions (2004) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 70, pp. 0552011-0552014. , DOI 10.1103/PhysRevE.70.055201, 055201
  • Georgeot, B., Shepelyansky, D.L., Stable quantum computation of unstable classical chaos (2001) Physical Review Letters, 86 (23), pp. 5393-5396. , DOI 10.1103/PhysRevLett.86.5393
  • Miquel, C., Paz, J.P., Saraceno, M., (2002) Phys. Rev. A, 65, p. 062309. , 10.1103/PhysRevA.65.062309
  • Hannay, J.H., Berry, M.V., (1980) Physica D, 1, p. 267. , 10.1016/0167-2789(80)90026-3
  • Basilio De Matos, M., Ozorio De Almeida, A.M., (1995) Ann. Phys., 237, p. 46. , 10.1006/aphy.1995.1003
  • Esposti, M.D., Winn, B., The quantum perturbed cat map and symmetry (2005) Journal of Physics A: Mathematical and General, 38 (26), pp. 5895-5912. , DOI 10.1088/0305-4470/38/26/005, PII S0305447005980098
  • Ford, J., Mantica, G., Ristow, G.H., (1991) Physica D, 50, p. 493. , 10.1016/0167-2789(91)90012-X
  • Cohen, D., Wisniacki, D.A., (2003) Phys. Rev. e, 67, p. 026206. , 10.1103/PhysRevE.67.026206
  • Cohen, D., (2000) New Directions in Quantum Chaos, , Proceedings of the International School of Physics Enrico Fermi, Course CXLIII, edited by G. Casati, I. Guarneri, and U. Smilansky (IOP Press, Amsterdam
  • Ares, N., Wisniacki, D.A.,

Citas:

---------- APA ----------
Ares, N. & Wisniacki, D.A. (2009) . Loschmidt echo and the local density of states. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 80(4).
http://dx.doi.org/10.1103/PhysRevE.80.046216
---------- CHICAGO ----------
Ares, N., Wisniacki, D.A. "Loschmidt echo and the local density of states" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 80, no. 4 (2009).
http://dx.doi.org/10.1103/PhysRevE.80.046216
---------- MLA ----------
Ares, N., Wisniacki, D.A. "Loschmidt echo and the local density of states" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 80, no. 4, 2009.
http://dx.doi.org/10.1103/PhysRevE.80.046216
---------- VANCOUVER ----------
Ares, N., Wisniacki, D.A. Loschmidt echo and the local density of states. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2009;80(4).
http://dx.doi.org/10.1103/PhysRevE.80.046216