PL EN


Preferences help
enabled [disable] Abstract
Number of results
2009 | 116 | 5 | 756-764
Article title

Fidelity in Quasi-1D Systems as a Probe for Anderson Localization

Content
Title variants
Languages of publication
EN
Abstracts
EN
We analyze the echo dynamics in quasi-one-dimensional random media to investigate how the transition from localization to delocalization is encoded in its temporal decay properties. Our analysis extends from the standard perturbative regime corresponding to small perturbations (with respect to the mean level spacing) in the echo dynamics, out to the Wigner decay regime. On the theoretical side, our results rely on a banded random matrix modeling, and show in the localized regime under small perturbations a novel decay of the fidelity (Loschmidt echo), differing from the typical Gaussian decay seen within both diffusive and chaotic systems. For larger perturbation strengths, typical Wigner exponential decays are observed. Scattering echo measurements are performed experimentally within a quasi-1D microwave cavity randomly populated with point-like scatterers. Agreements are observed between experiments, numerics, and theoretical predictions.
Keywords
Year
Volume
116
Issue
5
Pages
756-764
Physical description
Dates
published
2009-11
References
  • 1. P. Anderson, Phys. Rev. 109, 1492 (1958)
  • 2. M.E. Gertsenshtein, V.B. Vasil'ev, Teor. Veroyatn. Prim. 4, 391 (1959); 5, 240(E) (1960)
  • 3. S. John, Phys. Rev. Lett. 53, 2169 (1984)
  • 4. T. Schwartz, G. Bartal, S. Fishman, M. Segev, Nature 446, 05623 (2007); H. Hu, A. Strybulevych, J.H. Page, S.E. Skipetrov, B.A. van Tiggelen, Nature-Phys. 4, 945 (2008); J. Billy, V. Josse, Z. Zuo, A. Bernard, B. Hambrecht, P. Lugan, D. Clément, L. Sanchez-Palencia, P. Bouyer, A. Aspect, Nature 453, 891 (2008)
  • 5. H. De Raedt, A. Lagendijk, P. de Vries, Phys. Rev. Lett. 62, 47 (1989)
  • 6. A. Chabanov, M. Stoytchev, A. Genack, Nature 404, 850 (2000); A. Chabanov, A. Genack, Phys. Rev. Lett. 87, 233903 (2001); A. Genack, A. Chabanov, J. Phys. A 38, 10465 (2005)
  • 7. J.T. Edwards, D.J. Thouless, J. Phys. Chem. 5, 807 (1972)
  • 8. T. Gorin, T. Prosen, T.H. Seligman, M. Znidari{č, Phys. Rep. 435, 33 (2006); Ph. Jacquod, C. Petitjean, Adv. Phys. 58, 67 (2009)
  • 9. S.A. Gardiner, J.I. Cirac, P. Zoller, Phys. Rev. Lett. 79, 4790 (1997); M.F. Andersen, A. Kaplan, N. Davidson, Phys. Rev. A 64, 043801 (2001); S. Kuhr, W. Alt, D. Schrader, I. Dotsenko, Y. Miroshnychenko, W. Rosenfeld, M. Khudaverdyan, V. Gomer, A. Rauschenbeutel, D. Meschede, Phys. Rev. Lett. 91, 213002 (2003)
  • 10. R. Schäfer, T. Gorin, T.H. Seligman, H.-J. Stöckmann, New J. Phys. 7, 152 (2005); Phys. Rev. Lett. 95, 184102 (2005)
  • 11. O.I. Lobkis, R.L. Weaver, Phys. Rev. Lett. 90, 254302 (2003)
  • 12. M.A. Nielsen, I.L. Chuang, Quantum Computation and Quantum Information, Cambridge Uni. Press, Cambridge 2000
  • 13. R.A. Jalabert, H.M. Pastawski, Phys. Rev. Lett. 86, 2490 (2001)
  • 14. Ph. Jacquod, P.G. Silvestrov, C.W.J. Beenakker, Phys. Rev. E 64, 055203 (2001)
  • 15. N.R. Cerruti, S. Tomsovic, Phys. Rev. Lett. 88, 054103 (2002); J. Phys. A 36, 3451 (2003)
  • 16. T. Gorin, T. Prosen, T.H. Seligman, New J. Phys. 6, 1 (2004); T. Prosen, M. Žnidari{č, J. Phys. A 35, 1455 (2002)
  • 17. G. Benenti, G. Casati, Phys. Rev. E 66, 066205 (2002)
  • 18. Y. Adamov, I.V. Gornyi, A.D. Mirlin, Phys. Rev. E 67, 056217 (2003)
  • 19. T. Kottos, D. Cohen, Europhys. Lett. 61, 431 (2003); M. Hiller, T. Kottos, D. Cohen, T. Geisel, Phys. Rev. Lett. 92, 010402 (2004); G.S. Ng, J. Bodyfelt, T. Kottos, Phys. Rev. Lett. 97, 256404 (2006)
  • 20. R. Höhmann, U. Kuhl, H.-J. Stöckmann, Phys. Rev. Lett. 7, 152 (2005); Phys. Rev. Lett. 100, 124101 (2008)
  • 21. J.D. Bodyfelt, M.C. Zheng, T. Kottos, U. Kuhl, H.-J. Stöckmann, Phys. Rev. Lett. 102, 253901 (2009)
  • 22. H.U. Baranger, P.A. Mello, Phys. Rev. Lett. 73, 142 (1994)
  • 23. A.D. Mirlin, R. Pnini, B. Shapiro, Phys. Rev. E 57, R6285 (1998)
  • 24. K. Efetov, Supersymmetry in Disorder and Chaos, Cambridge Uni. Press, Cambridge 1997
  • 25. Y.V. Fyodorov, A.D. Mirlin, Phys. Rev. Lett. 67, 2405 (1991); Y.V. Fyodorov, A.D. Mirlin, J. Phys. A 26, L551 (1993); Y.V. Fyodorov, A.D. Mirlin, Int. J. Mod. Phys. B 8, 3795 (1994)
  • 26. G. Casati, I. Guarneri, F. Izrailev, L. Molinari, K. Życzkowski, Phys. Rev. Lett. 72, 2697 (1994); F. Izrailev, Chaos, Solitons Fractals 5, 1219 (1995); T. Kottos, A. Politi, F.M. Izrailev, S. Ruffo, Phys. Rev. E 53, R5553 (1996); F.M. Izrailev, T. Kottos, A. Politi, G.P. Tsironis, Phys. Rev. E 55, 4951 (1997); T. Kottos, A. Politi, F.M. Izrailev, J. Phys. C 10, 5965 (1998); T. Kottos, F.M. Izrailev, A. Politi, Physica D 131, 155 (1999); A.J. Mendez-Bermudez, T. Kottos, Phys. Rev. B 72, 064108 (2005)
  • 27. D. Cohen, Ann. Phys. 283, 175 (2000)
  • 28. D. Cohen, T. Kottos, Phys. Rev. E 63, 36203 (2001); M. Hiller, T. Kottos, T. Geisel, Phys. Rev. A 73, 061604 (2006)
  • 29. M. Hiller, D. Cohen, T. Geisel, T. Kottos, Ann. Phys. 321, 1025 (2006)
  • 30. P. Kunstman, K. Życzkowski, J. Zakrzewski, Phys. Rev. E 55, 2446 (1997)
  • 31. Y.V. Fyodorov, Phys. Rev. Lett. 73, 2688 (1994)
  • 32. A. Barnett, D. Cohen, E.J. Heller, J. Phys. A 34, 413 (2001)
  • 33. H.-J. Stöckmann, Quantum Chaos: An Introduction, 1st ed., Cambridge University Press, Cambridge 1999 %
  • 34. D. Cohen, E.J. Heller, Phys. Rev. Lett. 84, 2841 (2000) %
  • 35. M. Hiller, T. Kottos, D. Cohen, T. Geisel, Phys. Rev. Lett. 92, %010402 (2004)
Document Type
Publication order reference
YADDA identifier
bwmeta1.element.bwnjournal-article-appv116n505kz
Identifiers
JavaScript is turned off in your web browser. Turn it on to take full advantage of this site, then refresh the page.