Volume 67, Number 1, July 2004
|Page(s)||1 - 7|
|Published online||01 June 2004|
Exact and approximate complex potentials for modelling time observables
Departamento de Química-Física, Universidad del País Vasco Apdo. 644, 48080 Bilbao, Spain
2 Institut für Theoretische Physik, Universität Göttingen Tammanstrasse 1, 37077 Göttingen, Germany
Accepted: 3 May 2004
Local and energy-independent complex potentials have been used in the past to phenomenologically simulate the measurements of arrival, traversal or dwell times of a quantum particle. We physically justify these complex potentials with a realistic model of atom detection by fluorescence. As approximate effective interactions in the short lifetime and zero detuning limit, purely imaginary local potentials emerge from exact non-local and energy-dependent complex potentials obtained by Feshbach's partitioning technique. Non-zero laser detunings lead instead to local complex potentials with a real part.
PACS: 03.65.-w – Quantum mechanics / 42.50.-p – Quantum optics
© EDP Sciences, 2004
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