Coexistence of stable and unstable population dynamics in a nonlinear non-Hermitian mechanical dimer

Martello, Enrico; Singhal, Yaashnaa; Gadway, Bryce; Ozawa, Tomoki; Price, Hannah M.

doi:10.1103/physreve.107.064211

Cited by 6 publications

(1 citation statement)

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“…These systems exhibit a range of intriguing properties, including amplitude-induced topological transitions [36], non-reciprocal waves [37], and topological solitons [38]. However, linear and Kerr-nonlinear theories are inadequate in predicting the topology of general nonlinear interactions [39][40][41] when normal modes break symmetries [42,43], lose stability [44][45][46], or merge frequencies with bulk bands [47,48]. Thus, a topological invariant that accurately characterizes the topological physics of nonlinear dynamics is in need.…”

Section: Introductionmentioning

confidence: 99%

Anomalous Boundary Mechanics Induced by Nonlinear Weyl Normal Modes

Zhou

Zhang

Yao

2023

Preprint

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We report the discovery of nonlinear Weyl normal modes in two-dimensional (2D) mechanical lattices. These modes form a degenerate loop in the Brillouin zone, which is topologically protected by the Chern number of the nonlinear band structure. The projection of the Weyl loop onto the surface Brillouin zone exhibits anomalous behavior, leading to an edge-mode response on one boundary and bulk-mode behavior on the other, due to the presence of Fermi arcs on only one of the surface Brillouin zones. Our findings introduce the new concepts of nonlinear Weyl normal modes and nonlinear Weyl loop, and provide a pathway towards amplitude-controlled flexible metamaterials with topologically polarized, Weyl, and unpolarized rich phases.

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Section: Introductionmentioning

confidence: 99%

Anomalous Boundary Mechanics Induced by Nonlinear Weyl Normal Modes

Zhou

Zhang

Yao

2023

Preprint

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Mechanical Dynamics Around Higher‐Order Exceptional Point in Magno‐Optomechanics

He,

Fan,

Liu

et al. 2024

Adv Quantum Tech

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Diverse exceptional points (EPs) are theoretically studied in an experimentally feasible magno‐optomechanics consisting of an optomechanical subsystem coupled to a magnomechanical subsystem via physically direct contact. By adiabatically eliminating both the cavity and the Kittel mode, dissipative and parity‐time symmetric exceptional points can be observed. When only the cavity mode is eliminated, a second (third)‐order pseudo‐Hermitian EP emerges for nondegenerate (degenerate) mechanical modes. The distinct dynamical behavior of two mechanical modes around these EPs are further studied. The proposal provides a promising way to engineer diverse EPs and quantify non‐Hermitian phase transition with exceptional dynamical behavior in magno‐optomechanics.

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