Bulletin of the American Physical Society
Four Corners Section 2022 Meeting
Volume 67, Number 14
Friday–Saturday, October 14–15, 2022; Albuquerque, New Mexico
Session J03: Atomic, Molecular, and Optical Physics II
8:30 AM–9:54 AM,
Saturday, October 15, 2022
UNM
Room: PAIS 1160
Chair: Dylan Yost, Colorado State University
Abstract: J03.00007 : Exact energy eigenstates of the Coulomb-Stark Hamiltonian*
9:42 AM–9:54 AM
Presenter:
Seyedmohammad Yusofsani
(University of Arizona)
Authors:
Seyedmohammad Yusofsani
(University of Arizona)
Miroslav Kolesik
(University of Arizona)
As a demonstrative example, we use our solution to calculate the time evolution of an electron initially in the ground state of hydrogen atom and is suddenly exposed to an external constant and uniform electric field. By calculating the transition amplitudes we find that there is a non-adiabatic part in the response of the electron wave function to the external field that cannot be captured in the commonly used adiabatic approximation schemes such as Keldysh formula. We show that this non-adiabatic response corresponds to a broad peak in the energy spectrum and is in the form of a sudden tunneling of a portion of the wave function to infinity shortly after the external field is turned on.
*This material is based upon work supported by the Air Force Office of Scientific Research under Award No. FA9550-18-1-0183.
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