Large parity violating effects in atomic dysprosium with nearly degenerate Floquet eigenvalues

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Publication Details

Output type: Journal article

Author list: Gasenzer T, Nachtmann O

Publisher: Springer

Publication year: 2000

Journal: The European Physical Journal D (1434-6060)

Volume number: 12

Issue number: 1

Start page: 95

End page: 110

Number of pages: 16

ISSN: 1434-6060

eISSN: 1434-6079

Languages: English-Great Britain (EN-GB)

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Open access status: green

Full text URL: https://arxiv.org/pdf/hep-ph/9909358

Abstract

In this article we study effects of parity nonconservation in atomic dysprosium, where one has a pair of nearly degenerate levels of opposite parity. We consider the time evolution of this two-level system within oscillatory electric and magnetic fields. These are chosen to have a periodical structure with the same period, such that a Floquet matrix describes the time evolution of the quantum states. We show that, if the states are unstable, the eigenvalues of the Floquet matrix may have contributions proportional to the square root of the parity violating interaction matrix element H-w while they are almost degenerate in their parity even part. This leads to beat frequencies proportional to root H-w which are expected to be larger by several orders of magnitude compared to ordinary P-violating contributions which are of order H-w. However, for the simple field configurations we considered, it still seems to be difficult to observe these P-violating beat effects, since the states decay too fast. On the other hand, we found that, within only a few Floquet cycles, very large parity violating asymmetries with respect to experimental setups of opposite chirality may be obtained. The electric and magnetic fields as well as the time intervals necessary for this are in an experimentally accessible range. For statistically significant effects beyond one standard deviation a number of about 10(7) atoms is required. Our ideas may be applied directly to other 2-level atomic systems and different field configurations. We hope that these ideas will stimulate experimental work in this direction.

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