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On the possible control of tunneling in symmetric triple-well systems: the role of symmetry and driving

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Abstract

The possibility of controlling tunneling of a quantum particle localized in the central well (M) of a symmetric triple well potential by carefully choosing the driving parameters of a mono or bichromatic field is considered through careful numerical experiments. Conditions for enhancement and suppression of tunneling rate from the middle (M) to the side wells (L, R) are established. The observed behaviour is sought to be analysed by invoking the time-independent Floquet theory to follow the movement of quasi-energy levels as the driving parameters are changed. We demonstrate how the particle can be tunnel-transported from the central to one particular side well by using a mixed symmetry bichromatic field with delay between the applications of the two frequencies.

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Acknowledgments

SK thanks the Council of Scientific and Industrial Research, Govt. of India, New Delhi, for the award of senior research fellowship. SPB wishes to thank the Department of Atomic Energy, Govt. of India, New Delhi, for the award of Raja Ramanna Fellowship and the authorities of Indian Institute of Technology, Bombay for hosting the same.

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Authors and Affiliations

  1. Department of Physical Chemistry, Indian Association for the Cultivation of Science, Jadavpur, Kolkata, 700032, India

    S. Kar

  2. Department of Chemistry, Indian Institute of Technology, Bombay, Powai, Mumbai, 400076, India

    S. P. Bhattacharyya

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  1. S. Kar
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  2. S. P. Bhattacharyya
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Correspondence to S. P. Bhattacharyya.

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Kar, S., Bhattacharyya, S.P. On the possible control of tunneling in symmetric triple-well systems: the role of symmetry and driving. Indian J Phys 88, 885–894 (2014). https://doi.org/10.1007/s12648-014-0490-x

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  • DOI: https://doi.org/10.1007/s12648-014-0490-x

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