DOI | Resolve DOI: https://doi.org/10.1063/1.1730156 |
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Author | Search for: Shapiro, E. A.1; Search for: Ivanov, Misha Yu.1; Search for: Billig, Yuly |
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Affiliation | - National Research Council of Canada. NRC Steacie Institute for Molecular Sciences
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Format | Text, Article |
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Subject | Hilbert spaces; quantum theory; Stark effect |
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Abstract | We describe an approach to controlling wavepacket dynamics and a criterion of wavepacket controllability based on discretized properties of the wavepacket's localization on the orbit. The notion of "coarse-grained control" and the coarse-grained description of the controllability in infinite-dimensional Hilbert spaces are introduced and studied using the mathematical apparatus of loop groups. We prove that 2D rotational wavepackets are controllable by only free evolution and phase kicks by AC Stark shift implemented at fractional revivals. This scheme works even if the AC Stark shifts can have only a smooth coordinate dependence, correspondent to the action of a linearly polarized laser field. |
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Publication date | 2004-06-01 |
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In | |
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Language | English |
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Peer reviewed | Yes |
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NPARC number | 12338942 |
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Export citation | Export as RIS |
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Report a correction | Report a correction (opens in a new tab) |
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Record identifier | e7f9d511-9dcd-49c5-bec5-5e06763b91a1 |
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Record created | 2009-09-11 |
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Record modified | 2020-04-17 |
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