Exact and approximate complex potentials for modelling time observablesA. Ruschhaupt1, J. A. Damborenea1, B. Navarro1, J. G. Muga1 and G. C. Hegerfeldt2
1 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
(Received 5 January 2004; 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.
03.65.-w - Quantum mechanics.
42.50.-p - Quantum optics.
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