Physics – Condensed Matter – Mesoscale and Nanoscale Physics
Scientific paper
2003-03-05
Phys. Rev. E 68, 036211 (2003)
Physics
Condensed Matter
Mesoscale and Nanoscale Physics
5 pages, 3 figures; final version to appear in PRE (relation to reflection extended, new material with Fig.3 added, experiment
Scientific paper
10.1103/PhysRevE.68.036211
Absorption yields an additional exponential decay in open quantum systems which can be described by shifting the (scattering) energy E along the imaginary axis, E+i\hbar/2\tau_{a}. Using the random matrix approach, we calculate analytically the distribution of proper delay times (eigenvalues of the time-delay matrix) in chaotic systems with broken time-reversal symmetry that is valid for an arbitrary number of generally nonequivalent channels and an arbitrary absorption rate 1/\tau_{a}. The relation between the average delay time and the ``norm-leakage'' decay function is found. Fluctuations above the average at large values of delay times are strongly suppressed by absorption. The relation of the time-delay matrix to the reflection matrix S^{\dagger}S is established at arbitrary absorption that gives us the distribution of reflection eigenvalues. The particular case of single-channel scattering is explicitly considered in detail.
Savin Dmitry V.
Sommers Hans Juergen
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