Bulletin of the American Physical Society
APS March Meeting 2023
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session K66: General AMO Physics
3:00 PM–5:48 PM,
Tuesday, March 7, 2023
Room: Room 413
Sponsoring
Unit:
DAMOP
Chair: Francisco Machado, ITAMP, Harvard-Smithsonian Center for Astrophysics
Abstract: K66.00002 : Exact energy eigenstates of the Coulomb-Stark Hamiltonian*
3:12 PM–3:24 PM
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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