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Bulletin of the American Physical Society

Spectral Hole Burning in the Dielectronic Recombination from a Continuum of Finite Bandwidth

E. S. Shuman, Wei Yang, Tom Gallagher

Published Jun 7, 2007• 0 citations
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The presence of an electric field converts the intermediate autoionizing Rydberg $n\ensuremath{\ell}$ states, through which dielectronic recombination passes, into $nk$ Stark states, which have autoionization and capture rates in excess of the radiative decay rates and contribute to dielectronic recombination. In zero field the high $\ensuremath{\ell}$ states do not contribute to dielectronic recombination, but the conversion to Stark states makes it possible and raises the dielectronic recombination rate. However, an electric field can also result in coupling to loss channels which locally reduce the dielectronic recombination rate. We have observed holes in the spectrum of dielectronic recombination from the Ba $6{p}_{3∕2}8g$ continuum of finite bandwidth via the intermediate $6{p}_{1∕2}ng$ states. The holes appear when an electric field is applied, and we attribute them to interaction with rapidly decaying $6{p}_{3∕2}8\ensuremath{\ell}$ states, which diverts flux from dielectronic recombination.

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It should be possible to separate experimentally the contributions to dielectronic recombination (DR) of energetically unresolved intermediate autoionizing Rydberg $nl$ states using electric fields. This notion is based on two essential ideas. First, electric fields enhance the DR rate by Stark-mixing low-$l$ states with high autoionization rates with high-$l$ states with low autoionization rates. Second, the field at which an $l$ state becomes Stark mixed is determined by its quantum defect, a known function of $l$. Consequently, the electric-field dependence of the DR rate should reflect the $l$ dependence of the autoionization rates and thus the contributions of the zero-field $nl$ states to the DR rate. This notion cannot be tested experimentally by examining true DR. However, it can be tested by studying DR from a continuum of finite bandwidth (CFB), for in this case the intermediate Rydberg $nl$ states are restricted to a single value of $l$. Specifically, we have examined the electric-field dependence of DR from two CFB's, the $\mathrm{Ba}\phantom{\rule{0.3em}{0ex}}6{p}_{3∕2}11d$ and $6{p}_{3∕2}8g$ states. In these two cases the intermediate autoionizing Rydberg states are restricted to the $\mathrm{Ba}\phantom{\rule{0.3em}{0ex}}6{p}_{1∕2}nd$ and $6{p}_{1∕2}ng$ states $(l=2\phantom{\rule{0.5em}{0ex}}\text{and}\phantom{\rule{0.5em}{0ex}}4)$, which have quantum defects of 0.25 and 0.02, respectively. For the same $n$ they are Stark mixed at fields differing by an order of magnitude. We show experimentally that enhancement of the DR rate occurs at fields differing by a factor of 10 for $nd$ and $ng$ states of the same $n$, as expected, confirming that the field dependence of DR can be used to extract information about the contributions of energetically unresolved $l$ states to the zero-field DR rate.

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Spectral hole burning and its application in microwave photonics

Stefan Putz, Andreas Angerer, Dmitry O. Krimer +5 more

arXiv:1512.00248•Nature Photonics•Nov 21, 2016•52 citations
The presence of an electric field converts the intermediate autoionizing Rydberg $n\ensuremath{\ell}$ states, through which dielectronic recombination passes, into nknknk Stark states, which have autoionization and capture rates in excess of the radiative decay rates and contribute to dielectronic recombination. In zero field the high $\ensuremath{\ell}$ states do not contribute to dielectronic recombination, but the conversion to Stark states makes it possible and raises the dielectronic recombination rate. However, an electric field can also result in coupling to loss channels which locally reduce the dielectronic recombination rate. We have observed holes in the spectrum of dielectronic recombination from the Ba 6p3∕28g6{p}_{3∕2}8g6p3∕2​8g continuum of finite bandwidth via the intermediate 6p1∕2ng6{p}_{1∕2}ng6p1∕2​ng states. The holes appear when an electric field is applied, and we attribute them to interaction with rapidly decaying $6{p}_{3∕2}8\ensuremath{\ell}$ states, which diverts flux from dielectronic recombination.
A small electric field is shown to increase the dielectronic recombination, via autoionizing Rydberg states, of an electron from a continuum of finite bandwidth. The continuum of finite bandwidth is a broad autoionizing state which is part of a series converging to a higher limit, and the field enhancement of the rate occurs because the field converts the nl Rydberg states to nk Stark states, increasing the number of contributing recombination paths. The experimental results are in excellent agreement with the predictions of an isolated resonance approximation treatment and show clearly both the positive effect of Stark mixing and the negative effect of field ionization on dielectronic recombination.
It should be possible to separate experimentally the contributions to dielectronic recombination (DR) of energetically unresolved intermediate autoionizing Rydberg nlnlnl states using electric fields. This notion is based on two essential ideas. First, electric fields enhance the DR rate by Stark-mixing low-lll states with high autoionization rates with high-lll states with low autoionization rates. Second, the field at which an lll state becomes Stark mixed is determined by its quantum defect, a known function of lll. Consequently, the electric-field dependence of the DR rate should reflect the lll dependence of the autoionization rates and thus the contributions of the zero-field nlnlnl states to the DR rate. This notion cannot be tested experimentally by examining true DR. However, it can be tested by studying DR from a continuum of finite bandwidth (CFB), for in this case the intermediate Rydberg nlnlnl states are restricted to a single value of lll. Specifically, we have examined the electric-field dependence of DR from two CFB's, the Ba6p3∕211d\mathrm{Ba}\phantom{\rule{0.3em}{0ex}}6{p}_{3∕2}11dBa6p3∕2​11d and 6p3∕28g6{p}_{3∕2}8g6p3∕2​8g states. In these two cases the intermediate autoionizing Rydberg states are restricted to the Ba6p1∕2nd\mathrm{Ba}\phantom{\rule{0.3em}{0ex}}6{p}_{1∕2}ndBa6p1∕2​nd and 6p1∕2ng6{p}_{1∕2}ng6p1∕2​ng states (l=2and4)(l=2\phantom{\rule{0.5em}{0ex}}\text{and}\phantom{\rule{0.5em}{0ex}}4)(l=2and4), which have quantum defects of 0.25 and 0.02, respectively. For the same nnn they are Stark mixed at fields differing by an order of magnitude. We show experimentally that enhancement of the DR rate occurs at fields differing by a factor of 10 for ndndnd and ngngng states of the same nnn, as expected, confirming that the field dependence of DR can be used to extract information about the contributions of energetically unresolved lll states to the zero-field DR rate.