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Chaos-Assisted Quantum Tunneling and Delocalization Caused by Resonance or Near-Resonance

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Abstract

We investigate the quantum transport of a single particle trapped in a tilted optical lattice modulated with periodical delta kicks, and attempt to figure out the relationship between chaos and delocalization or quantum tunneling. We illustrate some resonant parameter lines existing in both chaotic and regular parameter regions, and discover the velocity of delocalization of particle tends to faster in the resonant line as well as the lines in which the lattice tilt is an integral multiple n of tilt driving frequency in chaotic region. While the degree of localization is linked to the distance between parameter points and resonant lines. Those useful results can be experimentally applied to control chaos-assisted transport of single particle held in optical lattices.

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Authors and Affiliations

  1. Department of Physics and Key Laboratory of Low-dimensional Quantum Structures and Quantum Control of Ministry of Education, and Synergetic Innovation Center for Quantum Effects and Applications, Hunan Normal University, Changsha, 410081, China

    Danfu Liang, Jiawei Zhang & Xili Zhang

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  1. Danfu Liang
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  2. Jiawei Zhang
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  3. Xili Zhang
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Correspondence to Danfu Liang.

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Liang, D., Zhang, J. & Zhang, X. Chaos-Assisted Quantum Tunneling and Delocalization Caused by Resonance or Near-Resonance. Int J Theor Phys 57, 2437–2446 (2018). https://doi.org/10.1007/s10773-018-3765-8

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  • DOI: https://doi.org/10.1007/s10773-018-3765-8

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