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C.W.J. Beenakker, in Diffuse Waves in Complex Media, Vol. 531 of NATO Advanced Studies Institute, Series C: Mathematical and Physical Science, edited by J.-P. Fouque (Kluwer, Academic, Dordrecht, 1999), pp. 137-164.
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Beenakker, C.W.J.1
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15
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33645079338
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note
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Optical experiments always preserve time-reversal symmetry unless a magneto-optical effect is included. For electric systems, time-reversal symmetry can be broken by applying a large magnetic field to the sample. (Such fields are created routinely in experiments.)
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20
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33645074378
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note
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It is not possible to have more than ideal coupling. For κ < 1, the loss rates are smaller than for κ= 1, so this is easily identified as "subideal," For κ> 1, the loss rates split into two separate parts: Most become smaller, as for κ< 1, while a few loss rates become very large, thereby fulfilling the requirement that the average loss rate has to be proportional to κ. We should note that this somewhat counterintuitive behavior is also observed for chaotic cavities [13].
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21
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0000674797
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H.U. Baranger, O.P. D.P.Vincenzo, R.A. Jalabert, and A.D. Stone, Phys. Rev. B 44, 10 637 (1991).
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Baranger, H.U.1
Divincenzo, D.P.2
Jalabert, R.A.3
Stone, A.D.4
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0033893533
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H. Schomerus, K.M. Frahm, M. Patra, and C.W.J. Beenakker, Physica A 278, 469 (2000).
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Physica A
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Schomerus, H.1
Frahm, K.M.2
Patra, M.3
Beenakker, C.W.J.4
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0033622247
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K.M. Frahm, H. Schomerus, M. Patra, and C.W.J. Beenakker, Europhys. Lett. 49, 48 (2000).
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Europhys. Lett.
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, pp. 48
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Frahm, K.M.1
Schomerus, H.2
Patra, M.3
Beenakker, C.W.J.4
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0004236492
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John Hopkins University Press, Baltimore, MD
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G.H. Golub and C.F. van Loan, Matrix Computations, 2nd ed. (John Hopkins University Press, Baltimore, MD, 1989).
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Matrix Computations, 2nd Ed.
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Golub, G.H.1
Van Loan, C.F.2
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29
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33645068405
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note
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On a modern computer, a single diagonalization for a L = 700, N =70 system takes about two days and uses 256 Mbytes of memory. While this memory requirement usually is no problem, the computing time usually is. Remember that the task is to compute the distribution of the decay rates. Hence, many matrices with different realizations of the random potential P(x,y) have to be diagonalized - not just a single matrix. However, the restrictions imposed by time and memory are of the same order of magnitude.
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30
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33645046595
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The algorithms will return eigenvalues z′ that have a very small but finite deviation |z -z′| from their correct value z. Since we are primarily interested in the imaginary part of the eigenvalue and want it to be as precise as possible, the magnitude of the real part has to be as small as possible.
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33
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0001186573
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[Sov. Phys. JETP 58, 606 (1983)]
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O.N. Dorokhov, Zh. Éksp. Teor. Fiz. 85, 1040 (1983) [Sov. Phys. JETP 58, 606 (1983)].
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Zh. Éksp. Teor. Fiz.
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Dorokhov, O.N.1
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