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Controlling the quantum rotational dynamics of a driven planar rotor by rebuilding barriers in the classical phase space

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Abstract

The present work aims to control the rotational excitations of an ac-driven planar rotor, a model for rigid diatomic molecules, by rebuilding barriers in the classical phase space. The barriers are invariant tori with irrational winding ratios which are perturbatively constructed at desired locations in the phase space. We establish that constructing such barriers, equivalent to additional weak fields, can efficiently suppress the chaos leading to the control of various processes. The phase space barriers are shown to be effective in controlling the quantum dynamics as well. In particular, the efficiency of the phase space barriers towards controlling dynamical tunneling in the system is explored. Our studies are relevant to understanding the role of the chaotic regions in dynamical tunneling and for molecular alignment using bichromatic fields.

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Acknowledgements

AS thanks the Council for Scientific and Industrial Research (CSIR), India for a doctoral fellowship.

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Authors and Affiliations

  1. Department of Chemistry, Indian Institute of Technology, Kanpur, Uttar Pradesh, 208 016, India

    Archana Shukla & Srihari Keshavamurthy

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  1. Archana Shukla
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  2. Srihari Keshavamurthy
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Correspondence to Srihari Keshavamurthy.

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Dedicated to the memory of late Professor Charusita Chakravarty.

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Shukla, A., Keshavamurthy, S. Controlling the quantum rotational dynamics of a driven planar rotor by rebuilding barriers in the classical phase space. J Chem Sci 129, 1005–1016 (2017). https://doi.org/10.1007/s12039-017-1312-4

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  • DOI: https://doi.org/10.1007/s12039-017-1312-4

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