Dynamical decoupling and dynamical isolation in temporally modulated coupled pendulums

Abstract

We theoretically study the dynamics of a pair of coupled pendulums subject to a periodic temporal modulation of their oscillation frequency. Inspired from analogous developments in quantum mechanics, we anticipate dynamical localization and dynamical isolation effects, as well as the occurrence of non-trivial coupling phases. Perspectives in the direction of studying synthetic gauge fields in a classical mechanics context are outlined.

7 pages, 5 figures

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• Topological dynamics of gyroscopic and Floquet lattices from Newton's laws
• Spin-orbit coupling in a hexagonal ring of pendula
• Experimental demonstration of dynamical input isolation in nonadiabatically modulated photonic cavities
• Synthetic Mechanical Lattices with Synthetic Interactions
• Entropy production for complex Langevin equations
• Topological edge states in a Rydberg composite
• Hamiltonian mean field model : effect of temporal perturbation in coupling matrix
• Mechanical cosmology: simulating scalar fluctuations in expanding Universes using synthetic mechanical lattices