Weak-field asymptotic theory of tunneling ionization from nearly degenerate states

Pavel K. Samygin, Toru Morishita, and Oleg I. Tolstikhin
Phys. Rev. A 98, 033401 – Published 4 September 2018

Abstract

The weak-field asymptotic theory (WFAT) of tunneling ionization in a static electric field is limited by the assumption that tunneling occurs from an isolated state in a compact atomic or molecular system. In this paper, we generalize the WFAT in two directions: to the cases when tunneling ionization occurs from (i) nearly degenerate states separated by a small energy distance ΔE in compact systems, and (ii) an isolated state in heteronuclear diatomic molecules at large internuclear distances R. The weak-field asymptotic formulas for the ionization rates in these two cases are obtained. The asymptotics are uniform with respect to ΔE and R and for sufficiently large ΔE and small R, respectively, reduce to the previously known WFAT rate formula. By combining the two asymptotics, we obtain a formula for the ionization rates from the nearly degenerate 1sσg and 2pσu states of a homonuclear molecular ion H2+ at large internuclear distances, which is of particular interest for applications in strong-field physics. The analytical results are illustrated by calculations for several atomic and molecular models.

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  • Received 22 June 2018

DOI:https://doi.org/10.1103/PhysRevA.98.033401

©2018 American Physical Society

Physics Subject Headings (PhySH)

Atomic, Molecular & Optical

Authors & Affiliations

Pavel K. Samygin1, Toru Morishita2, and Oleg I. Tolstikhin1

  • 1Moscow Institute of Physics and Technology, Dolgoprudny 141700, Russia
  • 2Institute for Advanced Science, The University of Electro-Communications, 1-5-1 Chofu-ga-oka, Chofu-shi, Tokyo 182-8585, Japan

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Issue

Vol. 98, Iss. 3 — September 2018

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