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2013 | 124 | 6 | 1087-1090
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Scattering from a Ring Graph - A~Simple Model for the Study of Resonances

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Scattering from the very simple ring graph is shown to display several basic features which underlie the complex (chaotic) phenomena observed in scattering from more complex graphs. In particular we demonstrate the appearance of arbitrarily narrow resonances - the "topological resonances" which are directly linked to the existence of cycles. We use the ring graph to study the response of such resonances to perturbations induced by a time-dependent random noise.
  • Department of Physics of Complex Systems, Weizmann Institute of Science, Rehovot, Israel
  • Department of Physics of Complex Systems, Weizmann Institute of Science, Rehovot, Israel
  • School of Mathematics, Cardiff University, Cardiff, Wales, UK
  • [1] T. Kottos, U. Smilansky, Phys. Rev. Lett. 79, 4794 (1997)
  • [1a] T. Kottos, U. Smilansky, Ann. Phys. 274, 76 (1999)
  • [2] S. Gnutzmann, U. Smilansky, Adv. Phys. 55, 527 (2006)
  • [3] Analysis on Graphs and Its Applications, Eds. P. Exner, J.P. Keating, P. Kuchment, T. Sunada, A. Teplyaev, Proc. Symp. in Pure Mathematics, American Mathematical Society, Providence 2008
  • [4] G. Berkolaiko, P. Kuchment, Introduction to Quantum Graphs, Mathematical Surveys and Monographs, Vol. 186, AMS, Providence 2013
  • [5] T. Kottos, U. Smilansky, Phys. Rev. Lett. 85, 968 (2000)
  • [5a] T. Kottos, U. Smilansky, J. Phys. A, Math. Gen. 36, 3501 (2003)
  • [6] Z. Pluhar, H.A. Weidenmüller, Phys. Rev. Lett. 110, 034101 (2013)
  • [7] S. Gnutzmann, H. Schanz, U. Smilansky, Phys. Rev. Lett. 110, 094101 (2013)
  • [8] S. Gnutzmann, U. Smilansky, S. Derevyanko, Phys. Rev. A 83, 033831 (2011)
  • [9] H. Feshbach, Ann. Phys. (New York) 5, 357 (1958)
  • [10] D. Waltner, Transmission through a Noisy Network, unpublished results
  • [11] B. Bodmann, H. Leschke, S. Warzel, in: Path Integrals: Dubna '96, Eds. V.S. Yarunin, M.A. Smondyrev, Dubna 1996, p. 95
  • [12] H.J. Carmichael, Statistical Methods in Quantum Optics: Master Equations and Fokker-Planck Equations, Springer, Berlin 1999
  • [13] R. Blümel, A. Buchleitner, R. Graham, L. Sirko, U. Smilansky, H. Walther, Phys. Rev. A 44, 4521 (1991)
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