Chaos in the band structure of a soft Sinai lattice

Max D. Porter, Aaron Barr, Ariel Barr, and L. E. Reichl
Phys. Rev. E 95, 052213 – Published 19 May 2017

Abstract

We study the effect of broken spatial and dynamical symmetries on the band structure of two lattices with unit cells that are soft versions of the classic Sinai billiard. We find significant signatures of chaos in the band structure of these lattices, in energy regimes where the underlying classical unit cell undergoes a transition to chaos. Broken dynamical symmetries and the presence of chaos can diminish the feasibility of changing and controlling band structure in a wide variety of two-dimensional lattice-based devices, including two-dimensional solids, optical lattices, and photonic crystals.

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  • Received 11 March 2017

DOI:https://doi.org/10.1103/PhysRevE.95.052213

©2017 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied PhysicsNonlinear Dynamics

Authors & Affiliations

Max D. Porter, Aaron Barr, Ariel Barr, and L. E. Reichl

  • Center for Complex Quantum Systems and Department of Physics, The University of Texas at Austin, Austin, Texas 78712, USA

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Issue

Vol. 95, Iss. 5 — May 2017

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