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Pseudospin-1 Systems as a New Frontier for Research on Relativistic Quantum Chaos

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Proceedings of the 5th International Conference on Applications in Nonlinear Dynamics

Part of the book series: Understanding Complex Systems ((UCS))

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Abstract

Pseudospin-1 systems are characterized by the feature that their band structure consists of a pair of Dirac cones and a topologically flat band. Such systems can be realized in a variety of physical systems ranging from dielectric photonic crystals to electronic materials. Theoretically, massless pseudospin-1 systems are described by the generalized Dirac-Weyl equation governing the evolution of a three-component spinor. Recent works have demonstrated that such systems can exhibit unconventional physical phenomena such as revival resonant scattering, superpersistent scattering, super-Klein tunneling, perfect caustics, vanishing Berry phase, and isotropic low energy scattering. We argue that investigating the interplay between pseudospin-1 physics and classical chaos may constitute a new frontier area of research in relativistic quantum chaos with significant applications.

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Acknowledgments

This Review is based on Refs. [52,53,54]. I thank my former student and current post-doctoral fellow Dr. H.-Y. Xu - the main contributor of these works. I would like to acknowledge support from the Pentagon Vannevar Bush Faculty Fellowship program sponsored by the Basic Research Office of the Assistant Secretary of Defense for Research and Engineering and funded by the Office of Naval Research through Grant No. N00014-16-1-2828.

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  1. School of Electrical, Computer and Energy Engineering, Arizona State University, Tempe, AZ, 85287, USA

    Ying-Cheng Lai

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Correspondence to Ying-Cheng Lai .

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  1. Space and Naval Warfare Systems Center, San Diego, CA, USA

    Visarath In

  2. Space and Naval Warfare Systems Center, San Diego, CA, USA

    Patrick Longhini

  3. Department of Mathematics and Statistics, San Diego State University, San Diego, CA, USA

    Antonio Palacios

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Lai, YC. (2019). Pseudospin-1 Systems as a New Frontier for Research on Relativistic Quantum Chaos. In: In, V., Longhini, P., Palacios, A. (eds) Proceedings of the 5th International Conference on Applications in Nonlinear Dynamics. Understanding Complex Systems. Springer, Cham. https://doi.org/10.1007/978-3-030-10892-2_13

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