2005/03/23 by Oded Shemer, Daria Brisker, Nimrod Moiseyev · 1 citation
Computer Science · Physics and Astronomy · #Quantum Information and Cryptography #Quantum optics and atomic interactions #Random lasers and scattering media #quant-ph
paper · pdf · doi:10.1103/physreva.71.032716
published as Phys. Rev. A 71, 032716 (2005) · 16 pages, 6 figures
openalex publication_date 2005/03/23 · arxiv created 2005/08/10 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The conditions for optimal reflection-free complex-absorbing potentials (CAPs) are discussed. It is shown that the CAPs as derived from the smooth-exterior-scaling transformation of the Hamiltonian [J. Phys. B 31, 1431 (1998)] serve as optimal reflection-free CAPs (RF CAPs) in wave-packet propagation calculations of open systems. The initial wave packet, \mathrm\ensuremathΦ(t=0), can be located in the interaction region (as in half collision experiments) where the CAPs have vanished or in the asymptote where \stackrel\ifmmode \else \\fiVCAP\ensuremath≠0. As we show, the optimal CAPs can be introduced also in the region where the physical potential has not vanished. The unavoided reflections due to the use of a finite number of grid points (or basis functions) are discussed. A simple way to reduce the ``edge-grid'' reflection effect is described.