Delay times and reflection in chaotic cavities with absorption
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 variant Planck's over 2pi /2tau(a). Using the random-matrix approach, we calculate analytically the distribution of proper delay t...
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| Published in | Physical review. E, Statistical, nonlinear, and soft matter physics Vol. 68; no. 3 Pt 2; p. 036211 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
United States
01.09.2003
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| Online Access | Get more information |
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| Summary: | 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 variant Planck's over 2pi /2tau(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 tau(-1)(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. |
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| ISSN: | 1539-3755 |
| DOI: | 10.1103/PhysRevE.68.036211 |