Time-dependent resonant scattering: An analytical approach

Abstract

A time-dependent description is given of a scattering process involving a single resonance embedded in a set of flat continua. An analytical approach is presented which starts from an incident free particle wave packet and yields the Breit-Wigner cross-section formula at infinite times. We show that at intermediate times the so-called Wigner-Weisskopf approximation is equivalent to a scattering process involving a contact potential. Applications in cold-atom scattering and resonance enhanced desorption of molecules are discussed.

Coupled-square-well model and Fano-phase correspondence

“…In recent years, with the development of new technologies, especially with ultrashort light sources and ultrafast optical techniques, it has become possible to experimentally probe the real time electron dynamics in the quantum regime [2][3][4][5][6][7][8][9], e.g., time-domain measurements of the autoionization dynamics using attosecond pulses [10][11][12], creation and control of time-dependent electron wave packet [13,14]. Studying time domain resonance physics has been attracting increasing interests in atomic and molecular physics [15][16][17][18][19][20].…”