TY - JOUR
T1 - Synthetic mechanical lattices with synthetic interactions
AU - Anandwade, Ritika
AU - Singhal, Yaashnaa
AU - Paladugu, Sai Naga Manoj
AU - Martello, Enrico
AU - Castle, Michael
AU - Agrawal, Shraddha
AU - Carlson, Ellen
AU - Battle-Mcdonald, Cait
AU - Ozawa, Tomoki
AU - Price, Hannah M.
AU - Gadway, Bryce
N1 - Funding Information:
We thank Camelia Prodan for stimulating discussions. This material is based upon work supported by the National Science Foundation under Grant No. 1945031. C.B.-M. and E.C. acknowledge REU support from the National Science Foundation under Grant No. 1950744. R.A., Y.S., and M.C. acknowledge support by the Philip J. and Betty M. Anthony Undergraduate Research Award of the UIUC Department of Physics. R.A. acknowledges support by the Lorella M. Jones Undergraduate Research Award of the UIUC Department of Physics. Y.S. acknowledges support by the Jeremiah D. Sullivan Undergraduate Research Award of the UIUC Department of Physics. T.O. acknowledges support from JSPS KAKENHI Grant No. JP20H01845, JST PRESTO Grant No. JPMJPR19L2, JST CREST Grant No. JPMJCR19T1, and RIKEN iTHEMS. E.M. and H.M.P. are supported by the Royal Society via Grants No. UF160112, No. RGF\EA\180121, and No. RGF\R1\180071.
Publisher Copyright:
© 2023 American Physical Society.
PY - 2023/7
Y1 - 2023/7
N2 - Metamaterials based on mechanical elements have been developed over the past decade as a powerful platform for exploring analogs of electron transport in exotic regimes that are hard to produce in real materials. In addition to enabling new physics explorations, such developments promise to advance the control over acoustic and mechanical metamaterials, and consequently to enable new capabilities for controlling the transport of sound and energy. Here, we demonstrate the building blocks of highly tunable mechanical metamaterials based on real-time measurement and feedback of modular mechanical elements. We experimentally engineer synthetic lattice Hamiltonians describing the transport of mechanical energy (phonons) in our mechanical system, with control over local site energies and loss and gain as well as over the complex hopping between oscillators, including a natural extension to nonreciprocal hopping. Beyond linear terms, we experimentally demonstrate how this measurement-based feedback approach makes it possible to independently introduce nonlinear interaction terms. Looking forward, synthetic mechanical lattices open the door to exploring phenomena related to topology, non-Hermiticity, and nonlinear dynamics in nonstandard geometries, higher dimensions, and with novel multibody interactions.
AB - Metamaterials based on mechanical elements have been developed over the past decade as a powerful platform for exploring analogs of electron transport in exotic regimes that are hard to produce in real materials. In addition to enabling new physics explorations, such developments promise to advance the control over acoustic and mechanical metamaterials, and consequently to enable new capabilities for controlling the transport of sound and energy. Here, we demonstrate the building blocks of highly tunable mechanical metamaterials based on real-time measurement and feedback of modular mechanical elements. We experimentally engineer synthetic lattice Hamiltonians describing the transport of mechanical energy (phonons) in our mechanical system, with control over local site energies and loss and gain as well as over the complex hopping between oscillators, including a natural extension to nonreciprocal hopping. Beyond linear terms, we experimentally demonstrate how this measurement-based feedback approach makes it possible to independently introduce nonlinear interaction terms. Looking forward, synthetic mechanical lattices open the door to exploring phenomena related to topology, non-Hermiticity, and nonlinear dynamics in nonstandard geometries, higher dimensions, and with novel multibody interactions.
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U2 - 10.1103/PhysRevA.108.012221
DO - 10.1103/PhysRevA.108.012221
M3 - Article
AN - SCOPUS:85166738326
SN - 2469-9926
VL - 108
JO - Physical Review A
JF - Physical Review A
IS - 1
M1 - 012221
ER -