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Title: Coherent time evolution of Rydberg level populations in a Landau-Zener grid

Abstract

The time evolution groups of parallel energy levels (m, m{prime} = 0, 1, 2,...) is considered as a model of dynamic state mixing of interacting Rydberg manifolds by ramped electric fields used in selective field ionization (SFI). Each intersection [m, m{prime}] of the triangular grid of level crossings is treated as an isolated 2-level Landau-Zener anticrossing with amplitudes d and a for diabatic and adiabatic transitions, respectively ({vert_bar}d{vert_bar}{sup 2} + {vert_bar}a{vert_bar}{sup 2} = 1). Beginning on the uppermost upward-going level (m = 0) and following successive time steps {tau}{sup (N)} (N = 0,1,2,...), a path analysis leads to complex interference patterns among the many paths arriving at an intersection [m, m{prime}] after passing through N = m + m{prime} previous ones. The relative phase between any two paths is a multiple of the unit of action {var_phi} defined by the two pairs of adiabatic levels connecting four neighboring anticrossings. Compared to results from an analysis neglecting interference effects, there occurs here a general {open_quotes}emptying out{close_quotes} of population at the center of the interaction region (where the majority of paths lead). Most striking are resonances at high ramp rates (d {yields} 1), which with high probability enhance upward-going levels whose indexmore » m is an integral multiple of 27{pi}/{var_phi}. Though {var_phi} is sensitive to ramp rate, it is nevertheless expected that observed diabatic SFI signals should exhibit sequences of secondary peaks traceable to such resonances, which should not be assigned to extraneous initial states.« less

Authors:
Publication Date:
OSTI Identifier:
281218
Report Number(s):
CONF-9305421-
Journal ID: BAPSA6; ISSN 0003-0503; TRN: 96:019143
Resource Type:
Journal Article
Journal Name:
Bulletin of the American Physical Society
Additional Journal Information:
Journal Volume: 38; Journal Issue: 3; Conference: 1993 American Physical Society annual meeting on atomic, molecular, and topical physics, Reno, NV (United States), 16-19 May 1993; Other Information: PBD: May 1993
Country of Publication:
United States
Language:
English
Subject:
66 PHYSICS; RYDBERG STATES; LANDAU-ZENER FORMULA; TIME DEPENDENCE; ELECTRIC FIELDS

Citation Formats

Harmin, D A. Coherent time evolution of Rydberg level populations in a Landau-Zener grid. United States: N. p., 1993. Web.
Harmin, D A. Coherent time evolution of Rydberg level populations in a Landau-Zener grid. United States.
Harmin, D A. Sat . "Coherent time evolution of Rydberg level populations in a Landau-Zener grid". United States.
@article{osti_281218,
title = {Coherent time evolution of Rydberg level populations in a Landau-Zener grid},
author = {Harmin, D A},
abstractNote = {The time evolution groups of parallel energy levels (m, m{prime} = 0, 1, 2,...) is considered as a model of dynamic state mixing of interacting Rydberg manifolds by ramped electric fields used in selective field ionization (SFI). Each intersection [m, m{prime}] of the triangular grid of level crossings is treated as an isolated 2-level Landau-Zener anticrossing with amplitudes d and a for diabatic and adiabatic transitions, respectively ({vert_bar}d{vert_bar}{sup 2} + {vert_bar}a{vert_bar}{sup 2} = 1). Beginning on the uppermost upward-going level (m = 0) and following successive time steps {tau}{sup (N)} (N = 0,1,2,...), a path analysis leads to complex interference patterns among the many paths arriving at an intersection [m, m{prime}] after passing through N = m + m{prime} previous ones. The relative phase between any two paths is a multiple of the unit of action {var_phi} defined by the two pairs of adiabatic levels connecting four neighboring anticrossings. Compared to results from an analysis neglecting interference effects, there occurs here a general {open_quotes}emptying out{close_quotes} of population at the center of the interaction region (where the majority of paths lead). Most striking are resonances at high ramp rates (d {yields} 1), which with high probability enhance upward-going levels whose index m is an integral multiple of 27{pi}/{var_phi}. Though {var_phi} is sensitive to ramp rate, it is nevertheless expected that observed diabatic SFI signals should exhibit sequences of secondary peaks traceable to such resonances, which should not be assigned to extraneous initial states.},
doi = {},
url = {https://www.osti.gov/biblio/281218}, journal = {Bulletin of the American Physical Society},
number = 3,
volume = 38,
place = {United States},
year = {1993},
month = {5}
}