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Bullo, D.E.; Wisniacki, D.A. "Perturbations and chaos in quantum maps" (2012) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 86(2)
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Abstract:

The local density of states (LDOS) is a distribution that characterizes the effects of perturbations on quantum systems. Recently, a semiclassical theory was proposed for the LDOS of chaotic billiards and maps. This theory predicts that the LDOS is a Breit-Wigner distribution independent of the perturbation strength and also gives a semiclassical expression for the LDOS width. Here, we test the validity of such an approximation in quantum maps by varying the degree of chaoticity, the region in phase space where the perturbation is applied, and the intensity of the perturbation. We show that for highly chaotic maps or strong perturbations the semiclassical theory of the LDOS is accurate to describe the quantum distribution. Moreover, the width of the LDOS is also well represented for its semiclassical expression in the case of mixed classical dynamics. © 2012 American Physical Society.

Registro:

Documento: Artículo
Título:Perturbations and chaos in quantum maps
Autor:Bullo, D.E.; Wisniacki, D.A.
Filiación:Departamento de Física J. J. Giambiagi, FCEN, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina
Palabras clave:Chaotic map; Chaoticity; Classical dynamics; In-phase; Local density of state; Perturbation strength; Quantum distribution; Quantum maps; Quantum system; Semiclassical theories; Strong perturbations; Chaotic systems; Phase space methods; Quantum electronics; Quantum optics
Año:2012
Volumen:86
Número:2
DOI: http://dx.doi.org/10.1103/PhysRevE.86.026206
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_v86_n2_p_Bullo

Referencias:

  • Wigner, E.P., (1955) Ann. Math., 62, p. 548. , ANMAAH 0003-486X 10.2307/1970079
  • Wigner, E.P., (1957) Ann. Math., 65, p. 203. , ANMAAH 0003-486X 10.2307/1969956
  • 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
  • Goussev, A., Jalabert, R.A., Pastawski, H.M., Wisniacki, D.A., (2012) Scholarpedia, 7, p. 11687
  • Fyodorov, Y.V., Chubykalo, O.A., Izrailev, F.M., 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
  • Jacquod, Ph., Shepelyansky, D.L., (1995) Phys. Rev. Lett., 75, p. 3501. , PRLTAO 0031-9007 10.1103/PhysRevLett.75.3501
  • 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
  • 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
  • Cohen, D., Kottos, T., (2001) Phys. Rev. e, 63, p. 036203. , PLEEE8 1539-3755 10.1103/PhysRevE.63.036203
  • Georgeot, B., Shepelyansky, D.L., Emergence of quantum chaos in the quantum computer core and how to manage it (2000) Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 62 (5 A), pp. 6366-6375. , DOI 10.1103/PhysRevE.62.6366
  • Benenti, G., Casati, G., Montangero, S., Shepelyansky, D.L., Eigenstates of an operating quantum computer: Hypersensitivity to static imperfections (2002) European Physical Journal D, 20 (2), pp. 293-296. , DOI 10.1140/epjd/e2002-00127-x
  • Wisniacki, D.A., Ares, N., Vergini, E.G., (2010) Phys. Rev. Lett., 104, p. 254101. , PRLTAO 0031-9007 10.1103/PhysRevLett.104.254101
  • García-Mata, I., Vallejos, R.O., Wisniacki, D.A., (2011) New J. Phys., 13, p. 103040. , NJOPFM 1367-2630 10.1088/1367-2630/13/10/103040
  • Vanicek, J., Dephasing representation: Employing the shadowing theorem to calculate quantum correlation functions (2004) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 70 (5), 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
  • Hannay, J.H., Berry, M.V., (1980) Physica D, 1, p. 267. , PDNPDT 0167-2789 10.1016/0167-2789(80)90026-3
  • Balazs, N., Voros, A., (1987) Europhys. Lett., 4, p. 1089. , EULEEJ 0295-5075 10.1209/0295-5075/4/10/001
  • Keating, J.P., (1991) Nonlinearity, 4, p. 309. , NONLE5 0951-7715 10.1088/0951-7715/4/2/006
  • Moore, F.L., Robinson, J.C., Bharucha, C.F., Sundaram, B., Raizen, M.G., (1995) Phys. Rev. Lett., 75, p. 4598. , PRLTAO 0031-9007 10.1103/PhysRevLett.75.4598
  • Weinstein, Y.S., Lloyd, S., Emerson, J., Cory, D.G., (2002) Phys. Rev. Lett., 89, p. 157902. , PRLTAO 0031-9007 10.1103/PhysRevLett.89.157902
  • Chabé, J., Lemarié, G., Grémaud, B., Delande, D., Szriftgiser, P., Garreau, J.C., (2008) Phys. Rev. Lett., 101, p. 255702. , PRLTAO 0031-9007 10.1103/PhysRevLett.101.255702
  • Arnold, V.I., (1988) Geometrical Methods in the Theory of Ordinary Differential Equations, , Springer-Verlag, New York
  • De Matos, M.B., Ozorio De Almeida, A.M., (1995) Ann. Phys., 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
  • Leboeuf, P., Kurchan, J., Feingold, M., Arovas, D.P., (1990) Phys. Rev. Lett., 65, p. 3076. , PRLTAO 0031-9007 10.1103/PhysRevLett.65.3076
  • García-Mata, I., Wisniacki, D.A., (2011) J. Phys. A. Math. Theor., 44, p. 315101. , 1751-8113 10.1088/1751-8113/44/31/315101
  • 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
  • Keating, J.P., Mezzadri, F., (2000) Nonlinearity, 13, p. 747. , NONLE5 0951-7715 10.1088/0951-7715/13/3/313
  • Fiori, E.R., Pastawski, H.M., Non-Markovian decay beyond the Fermi Golden Rule: Survival collapse of the polarization in spin chains (2006) Chemical Physics Letters, 420 (1-3), pp. 35-41. , DOI 10.1016/j.cplett.2005.12.025, PII S0009261405019159
  • I. García-Mata, C. Pineda, and D. A. Wisniacki, arXiv: 1204.3614; Köber, B., Kuhl, U., Stöckmann, H.J., Goussev, A., Richter, K., (2011) Phys. Rev. e, 83, p. 016214. , PLEEE8 1539-3755 10.1103/PhysRevE.83.016214

Citas:

---------- APA ----------
Bullo, D.E. & Wisniacki, D.A. (2012) . Perturbations and chaos in quantum maps. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 86(2).
http://dx.doi.org/10.1103/PhysRevE.86.026206
---------- CHICAGO ----------
Bullo, D.E., Wisniacki, D.A. "Perturbations and chaos in quantum maps" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 86, no. 2 (2012).
http://dx.doi.org/10.1103/PhysRevE.86.026206
---------- MLA ----------
Bullo, D.E., Wisniacki, D.A. "Perturbations and chaos in quantum maps" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 86, no. 2, 2012.
http://dx.doi.org/10.1103/PhysRevE.86.026206
---------- VANCOUVER ----------
Bullo, D.E., Wisniacki, D.A. Perturbations and chaos in quantum maps. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2012;86(2).
http://dx.doi.org/10.1103/PhysRevE.86.026206