Non-reciprocal robotic metamaterials

Abstract

Non-reciprocal transmission of motion is potentially highly beneficial to a wide range of applications, ranging from wave guiding, to shock and vibration damping and energy harvesting. To date, large levels of non-reciprocity have been realized using broken spatial or temporal symmetries, yet only in the vicinity of resonances or using nonlinearities, thereby nonreciprocal transmission remains limited to narrow ranges of frequencies or input magnitudes and sensitive to attenuation. Here, we devise a novel type of robotic mechanical metamaterials wherein we use local control loops to break reciprocity at the level of the interactions between the unit cells. We show theoretically that first-of-their-kind asymmetric standing waves at all frequencies and unidirectionally amplified propagating waves emerge. We demonstrate experimentally and numerically that this property leads to tunable, giant, broadband and attenuation-free non-reciprocal performances, namely a level of 50dB non-reciprocal isolation over 3.5 decades in frequency, as well as one-way amplification of pulses.

13 pages, 4 figures, Supplementary materials to be added shortly

References in corpus (17)

• Edge states and topological invariants of non-Hermitian systems
• Observation of a phononic quadrupole topological insulator
• Non-Hermitian Boundary Modes
• Anatomy of skin modes and topology in non-Hermitian systems
• Topological Boundary Modes in Isostatic Lattices
• Topological mechanics of gyroscopic metamaterials
• Non-Hermitian robust edge states in one-dimension: Anomalous localization and eigenspace condensation at exceptional points
• Nonreciprocity and magnetic-free isolation based on optomechanical interactions
• Static non-reciprocity in mechanical metamaterials
• Non-Hermitian Quantum Sensing: Fundamental Limits and Non-Reciprocal Approaches
• Amorphous topological insulators constructed from random point sets
• Observation of nonreciprocal wave propagation in a dynamic phononic lattice
• Time-periodic stiffness modulation in elastic metamaterials for selective wave filtering: theory and experimental investigations
• Nonreciprocal control and cooling of phonon modes in an optomechanical system
• A characteristic lengthscale causes anomalous size effects and boundary programmability in mechanical metamaterials
• Topological quantum fluctuations and travelling wave amplifiers
• Constant-pressure sound waves in non-Hermitian disordered media

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• Non-Hermitian Skin Effects in Hermitian Correlated/Disordered Systems: Boundary-Sensitive/Insensitive Quantities and Pseudo Quantum Number
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