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Abstract:

The prediction of the response of a closed system to external perturbations is one of the central problems in quantum mechanics, and in this respect, the local density of states (LDOS) provides an in-depth description of such a response. The LDOS is the distribution of the overlaps squared connecting the set of eigenfunctions with the perturbed one. Here, we show that in the case of closed systems with classically chaotic dynamics, the LDOS is a Breit-Wigner distribution under very general perturbations of arbitrary high intensity. Consequently, we derive a semiclassical expression for the width of the LDOS which is shown to be very accurate for paradigmatic systems of quantum chaos. This Letter demonstrates the universal response of quantum systems with classically chaotic dynamics. © 2010 The American Physical Society.

Registro:

Documento: Artículo
Título:Universal response of quantum systems with chaotic dynamics
Autor:Wisniacki, D.A.; Ares, N.; Vergini, E.G.
Filiación:Departamento de Física J. J. Giambiagi, FCEyN, Ciudad Universitaria, C1428EGA Buenos Aires, Argentina
Departamento de Física, Comisión Nacional de Energía Atómica, Avenida Libertador 8250, Buenos Aires, Argentina
Departamento de Física, E.T.S.I. Agrónomos, Universidad Politécnica de Madrid, 28040-Madrid, Spain
Palabras clave:Central problems; Chaotic dynamics; Closed systems; Eigen function; External perturbations; High intensity; Local density of state; Quantum chaos; Quantum mechanics; Quantum system; Wigner Distribution; Eigenvalues and eigenfunctions; Probability distributions; Quantum electronics; Quantum optics; Chaotic systems
Año:2010
Volumen:104
Número:25
DOI: http://dx.doi.org/10.1103/PhysRevLett.104.254101
Título revista:Physical Review Letters
Título revista abreviado:Phys Rev Lett
ISSN:00319007
CODEN:PRLTA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00319007_v104_n25_p_Wisniacki

Referencias:

  • Wigner, E.P., (1955) Ann. Math., 62, p. 548. , ANMAAH 0003-486X 10.2307/1970079
  • Flambaum, V.V., Gribakina, A.A., Gribakin, G.F., Kozlov, M.G., (1994) Phys. Rev. A, 50, p. 267. , PLRAAN 1050-2947 10.1103/PhysRevA.50.267
  • Fyodorov, Y., Chubykalo, O., Izrailev, F., Casati, G., (1996) Phys. Rev. Lett., 76, p. 1603. , PRLTAO 0031-9007 10.1103/PhysRevLett.76.1603
  • Casati, G., Chirikov, B.V., Guarneri, I., Izrailev, F.M., Quantum ergodicity and localization in conservative systems: The Wigner band random matrix model (1996) Physics Letters, Section A: General, Atomic and Solid State Physics, 223 (6), pp. 430-435. , DOI 10.1016/S0375-9601(96)00784-0, PII S0375960196007840
  • Cohen, D., Heller, E.J., Unification of perturbation theory, random matrix theory, and semiclassical considerations in the study of parametrically dependent eigenstates (2000) Physical Review Letters, 84 (13), pp. 2841-2844. , http://prola.aps.org/pdf/PRL/v84/i13/p2841_1, DOI 10.1103/PhysRevLett.84.2841, 2841
  • 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
  • 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. , ADPHAH 0001-8732 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
  • 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
  • Vanícek, J., (2006) Phys. Rev. e, 73, p. 046204. , PLEEE8 1539-3755 10.1103/PhysRevE.73.046204
  • Hammel, S.M., Yorke, J.A., Grebogi, C., (1987) Journal of Complexity, 3, p. 136. , JOCOEH 0885-064X 10.1016/0885-064X(87)90024-0
  • Goussev, A., Waltner, D., Richter, K., Jalabert, R.A., (2008) New J. Phys., 10, p. 093010. , NJOPFM 1367-2630 10.1088/1367-2630/10/9/093010
  • Basilio De Matos, M., Almeida De Ozorio, A.M., (1995) Ann. Phys. (N.Y.), 237, p. 46. , APNYA6 0003-4916 10.1006/aphy.1995.1003
  • Ares, N., Wisniacki, D.A., (2009) Phys. Rev. e, 80, p. 046216. , PLEEE8 1539-3755 10.1103/PhysRevE.80.046216
  • Bunimovich, L.A., (1974) Funct. Anal. Appl., 8, p. 254. , FAAPBZ 0016-2663 10.1007/BF01075700
  • Wisniacki, D.A., Vergini, E., (1999) Phys. Rev. e, 59, p. 6579. , PLEEE8 1063-651X 10.1103/PhysRevE.59.6579
  • Chernov, N., (1997) J. Stat. Phys., 88, p. 1. , JSTPSB 0022-4715 10.1007/BF02508462
  • Vergini, E., Saraceno, M., (1995) Phys. Rev. e, 52, p. 2204. , PLEEE8 1063-651X 10.1103/PhysRevE.52.2204
  • Barnett, A.H., Cohen, D., Heller, E.J., (2000) Phys. Rev. Lett., 85, p. 1412. , PRLTAO 0031-9007 10.1103/PhysRevLett.85.1412
  • Vergini, E.G., (2000) J. Phys. A, 33, p. 4709. , JPHAC5 0305-4470 10.1088/0305-4470/33/25/311
  • Vergini, E.G., Schneider, D., Rivas, A.M.F., (2008) J. Phys. A, 41, p. 405102. , JPHAC5 0305-4470 10.1088/1751-8113/41/40/405102
  • Vergini, E.G., Carlo, G.G., (2001) J. Phys. A, 34, p. 4525. , JPHAC5 0305-4470 10.1088/0305-4470/34/21/308
  • Vergini, E.G., Schneider, D., Asymptotic behaviour of matrix elements between scar functions (2005) Journal of Physics A: Mathematical and General, 38 (3), pp. 587-616. , DOI 10.1088/0305-4470/38/3/005
  • Bohigas, O., Giannoni, M.J., Schmit, C., (1984) Phys. Rev. Lett., 52, p. 1. , PRLTAO 0031-9007 10.1103/PhysRevLett.52.1

Citas:

---------- APA ----------
Wisniacki, D.A., Ares, N. & Vergini, E.G. (2010) . Universal response of quantum systems with chaotic dynamics. Physical Review Letters, 104(25).
http://dx.doi.org/10.1103/PhysRevLett.104.254101
---------- CHICAGO ----------
Wisniacki, D.A., Ares, N., Vergini, E.G. "Universal response of quantum systems with chaotic dynamics" . Physical Review Letters 104, no. 25 (2010).
http://dx.doi.org/10.1103/PhysRevLett.104.254101
---------- MLA ----------
Wisniacki, D.A., Ares, N., Vergini, E.G. "Universal response of quantum systems with chaotic dynamics" . Physical Review Letters, vol. 104, no. 25, 2010.
http://dx.doi.org/10.1103/PhysRevLett.104.254101
---------- VANCOUVER ----------
Wisniacki, D.A., Ares, N., Vergini, E.G. Universal response of quantum systems with chaotic dynamics. Phys Rev Lett. 2010;104(25).
http://dx.doi.org/10.1103/PhysRevLett.104.254101