Quench dynamics and bulk-edge correspondence in nonlinear mechanical systems

Abstract

We study a topological physics in a one-dimensional nonlinear system by taking an instance of a mechanical rotator model with alternating spring constants. This nonlinear model is smoothly connected to an acoustic model described by the Su-Schrieffer-Heeger model in the linear limit. We numerically show that quench dynamics of the kinetic and potential energies for the nonlinear model is well understood in terms of the topological and trivial phases defined in the associated linearized model. It indicates phenomenologically the emergence of the edge state in the topological phase even for the nonlinear system, which may be the bulk-edge correspondence in nonlinear system.

5 pages, 4 figures

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• Supersymmetric non-Hermitian topological interface laser
• Nonlinear topological phase diagram in dimerized sine-Gordon model
• Nonlinear dynamics of topological helicity wave in a frustrated skyrmion string
• Nonlinear topological Toda quasicrystal
• Nonlinear dynamical topological phases in Cooper-pair box array