Navegar

Colección

Datos Estadísticas

Artículo

García-Mata, I.; Roncaglia, A.J.; Wisniacki, D.A. "Relaxation of isolated quantum systems beyond chaos" (2015) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 91(1)
El editor solo permite decargar el artículo en su versión post-print desde el repositorio. Por favor, si usted posee dicha versión, enviela a
Consulte el artículo en la página del editor
Consulte la política de Acceso Abierto del editor

Abstract:

In classical statistical mechanics there is a clear correlation between relaxation to equilibrium and chaos. In contrast, for isolated quantum systems this relation is - to say the least - fuzzy. In this work we try to unveil the intricate relation between the relaxation process and the transition from integrability to chaos. We study the approach to equilibrium in two different many-body quantum systems that can be parametrically tuned from regular to chaotic. We show that a universal relation between relaxation and delocalization of the initial state in the perturbed basis can be established regardless of the chaotic nature of system. © 2015 American Physical Society.

Registro:

Documento: Artículo
Título:Relaxation of isolated quantum systems beyond chaos
Autor:García-Mata, I.; Roncaglia, A.J.; Wisniacki, D.A.
Filiación:Instituto de Investigaciones Físicas de Mar Del Plata (IFIMAR, CONICET), Universidad Nacional de Mar Del Plata, Mar del Plata, Argentina
Consejo Nacional de Investigaciones Científicas y Tecnológicas (CONICET), Argentina
Departamento de Física j. J. Giambiagi and IFIBA, FCEyN, Universidad de Buenos Aires, Buenos Aires, 1428, Argentina
Palabras clave:Quantum electronics; Quantum optics; Statistical mechanics; Approach to equilibrium; Chaotic nature; Classical statistical mechanics; Delocalizations; Initial state; Many-body quantum systems; Quantum system; Relaxation to equilibrium; Quantum theory
Año:2015
Volumen:91
Número:1
DOI: http://dx.doi.org/10.1103/PhysRevE.91.010902
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_v91_n1_p_GarciaMata

Referencias:

  • Callen, H.B., (1985) Thermodynamics and An Introduction to Thermostatistics, , (Wiley, New York)
  • Arnold, V.I., Avez, A., (1989) Ergodic Problems in Classical Mechanics, , reprint ed. (Addison-Wesley, Reading, MA)
  • Gaspard, P., (1998) Chaos, Scattering and Statistical Mechanics, , (Cambridge University Press, Cambridge)
  • Bohigas, O., Giannoni, M.J., Schmit, C., (1984) Phys. Rev. Lett., 52, p. 1. , PRLTAO 0031-9007
  • Haake, F., (1991) Quantum Signatures of Chaos, , (Springer-Verlag, Berlin);
  • Stöckmann, H.-J., (1999) Quantum Chaos: An Introduction, , (Cambridge University Press, Cambridge)
  • Polkovnikov, A., (2011) Ann. Phys., 326, p. 486. , APNYA6 0003-4916
  • Santos, L.F., Polkovnikov, A., Rigol, M., (2011) Phys. Rev. Lett., 107, p. 040601. , PRLTAO 0031-9007
  • Tasaki, H., (1998) Phys. Rev. Lett., 80, p. 1373. , PRLTAO 0031-9007
  • Reimann, P., (2008) Phys. Rev. Lett., 101, p. 190403. , PRLTAO 0031-9007
  • Reimann, P., Kastner, M., (2012) New J. Phys., 14, p. 043020. , NJOPFM 1367-2630
  • Linden, N., Popescu, S., Short, A.J., Winter, A., (2009) Phys. Rev. e, 79, p. 061103. , PLEEE8 1539-3755
  • Jensen, R.V., Shankar, R., (1985) Phys. Rev. Lett., 54, p. 1879. , PRLTAO 0031-9007
  • Deutsch, J.M., (1991) Phys. Rev. A, 43, p. 2046. , PLRAAN 1050-2947
  • Srednicki, M., (1994) Phys. Rev. e, 50, p. 888. , 1063-651X 10.1103/PhysRevE.50.888
  • Rigol, M., Dunjko, V., Olshanii, M., (2008) Nature (London), 452, p. 854. , NATUAS 0028-0836
  • Rigol, M., (2009) Phys. Rev. Lett., 103, p. 100403. , PRLTAO 0031-9007
  • Biroli, G., Kollath, C., Läuchli, A.M., (2010) Phys. Rev. Lett., 105, p. 250401. , PRLTAO 0031-9007
  • Ponomarev, A.V., Denisov, S., Hänggi, P., (2011) Phys. Rev. Lett., 106, p. 010405. , PRLTAO 0031-9007
  • Gogolin, C., Müller, M.P., Eisert, J., (2011) Phys. Rev. Lett., 106, p. 040401. , PRLTAO 0031-9007
  • Ikeda, T.N., Watanabe, Y., Ueda, M., (2011) Phys. Rev. e, 84, p. 021130. , PLEEE8 1539-3755
  • Riera, A., Gogolin, C., Eisert, J., (2012) Phys. Rev. Lett., 108, p. 080402. , PRLTAO 0031-9007
  • Rigol, M., Srednicki, M., (2012) Phys. Rev. Lett., 108, p. 110601. , PRLTAO 0031-9007
  • Dicke, R.H., (1954) Phys. Rev., 93, p. 99. , PHRVAO 0031-899X
  • Santos, L.F., Borgonovi, F., Izrailev, F.M., (2012) Phys. Rev. e, 85, p. 036209. , PLEEE8 1539-3755
  • Polkovnikov, A., Sengupta, K., Silva, A., Vengalattore, M., (2011) Rev. Mod. Phys., 83, p. 863. , RMPHAT 0034-6861
  • T. N. Ikeda, N. Sakumichi, A. Polkovnikov, and M. Ueda, arXiv:1303.5471; Hepp, K., Lieb, E.H., (1973) Ann. Phys. (NY), 76, p. 360. , APNYA6 0003-4916
  • Baumann, K., Guerlin, G., Brennecke, F., Esslinger, T., (2010) Nature (London), 464, p. 1301. , NATUAS 0028-0836
  • Emary, C., Brandes, T., (2003) Phys. Rev. Lett., 90, p. 044101. , PRLTAO 0031-9007
  • Emary, C., Brandes, T., (2003) Phys. Rev. e, 67, p. 066203. , 1063-651X 10.1103/PhysRevE.67.066203
  • Altland, A., Haake, F., (2012) Phys. Rev. Lett., 108, p. 073601. , PRLTAO 0031-9007
  • Altland, A., Haake, F., (2014) New J. Phys., 14, p. 073011. , NJOPFM 1367-2630
  • We have checked that for other values of (Equation presented) the results are equivalent; Fyodorov, Y.V., Mirlin, A.D., (1995) Phys. Rev. B, 52, p. R11580. , PRBMDO 1098-0121
  • Jacquod, Ph., Shepelyansky, D.L., (1995) Phys. Rev. Lett., 75, p. 3501. , PRLTAO 0031-9007
  • Georgeot, B., Shepelyansky, D.L., (1997) Phys. Rev. Lett., 79, p. 4365. , PRLTAO 0031-9007
  • Berkovits, R., Avishai, Y., (1998) Phys. Rev. Lett., 80, p. 568. , PRLTAO 0031-9007
  • Flambaum, V.V., Gribakina, A.A., Gribakin, G.F., Kozlov, M.G., (1994) Phys. Rev. A, 50, p. 267. , PLRAAN 1050-2947
  • Flambaum, V.V., Izrailev, F.M., (2001) Phys. Rev. e, 64, p. 036220. , 1063-651X 10.1103/PhysRevE.64.036220
  • Neuenhahn, C., Marquardt, F., (2012) Phys. Rev. e, 85, p. 060101. , PLEEE8 1539-3755
  • García-Mata, I., Roncaglia, A.J., Wisniacki, D.A., (unpublished); Wisniacki, D.A., Roncaglia, A.J., (2013) Phys. Rev. e, 87, p. 050902. , (R). PLEEE8 1539-3755 10.1103/PhysRevE.87.050902

Citas:

---------- APA ----------
García-Mata, I., Roncaglia, A.J. & Wisniacki, D.A. (2015) . Relaxation of isolated quantum systems beyond chaos. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 91(1).
http://dx.doi.org/10.1103/PhysRevE.91.010902
---------- CHICAGO ----------
García-Mata, I., Roncaglia, A.J., Wisniacki, D.A. "Relaxation of isolated quantum systems beyond chaos" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 91, no. 1 (2015).
http://dx.doi.org/10.1103/PhysRevE.91.010902
---------- MLA ----------
García-Mata, I., Roncaglia, A.J., Wisniacki, D.A. "Relaxation of isolated quantum systems beyond chaos" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 91, no. 1, 2015.
http://dx.doi.org/10.1103/PhysRevE.91.010902
---------- VANCOUVER ----------
García-Mata, I., Roncaglia, A.J., Wisniacki, D.A. Relaxation of isolated quantum systems beyond chaos. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2015;91(1).
http://dx.doi.org/10.1103/PhysRevE.91.010902