Delay times and reflection in chaotic cavities with absorption

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dc.creatorSavin, D. V.
dc.creatorSommers, H. -J.
dc.date2003-03-05
dc.date2003-07-13
dc.date.accessioned2026-07-07T02:50:01Z
dc.date.available2026-07-07T02:50:01Z
dc.descriptionAbsorption 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/2τ_{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/τ_{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.
dc.description5 pages, 3 figures; final version to appear in PRE (relation to reflection extended, new material with Fig.3 added, experiment cond-mat/0305090 discussed)
dc.identifierhttps://arxiv.org/abs/cond-mat/0303083
dc.identifierhttp://arxiv.org/abs/cond-mat/0303083
dc.identifierPhys. Rev. E 68, 036211 (2003)
dc.identifierdoi:10.1103/PhysRevE.68.036211
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/20976
dc.subjectMesoscale and Nanoscale Physics
dc.subjectChaotic Dynamics
dc.titleDelay times and reflection in chaotic cavities with absorption
dc.typetext

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