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1. Optimization of the spatial configuration of local defects in phononic crystals for high Q cavity

   https://doi.org/10.3389/fmech.2020.592787  

   Contreras, D.R.; Martínez, M.; Mayorga, M.; Heo, H.; Walker, E.; Neogi, A. (October 2020, Frontiers of Mechanical Engineering)

   null (Ed.)

   Defects can be introduced within a 2-D periodic lattice to realize phononic cavities or phononic crystal (PnC) waveguides at the ultrasonic frequency range. The arrangement of these defects within a PnC lattice results in the modification of the Q factor of the cavity or the waveguide. In this work, cavity defects within a PnC formed using cylindrical stainless steel scatterers in water have been modified to control the propagation and Q factor of acoustic waveguides realized through defect channels. The defects channel based waveguides within the PnC were configured horizontally, vertically, and diagonally along the direction of the propagation of the acoustic waves. Numerical simulations supported by experimental demonstration indicate that the defect-based waveguide's Q factor is improved by over 15 times for the diagonal configuration compared to the horizontal configuration. It also increases due to an increase in the scatterers' radius, varied from 0.7 -0.95 mm. 

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2. Gigahertz-frequency Lamb-wave resonator cavities on suspended lithium niobate for quantum acoustics

   https://doi.org/10.1103/xt9r-h1q9  

   Diego, Michele; Qiao, Hong; Kim, Byunggi; Ryu, Minseok; Li, Shiheng; Andersson, Gustav; Nomura, Masahiro; Cleland, Andrew N (July 2026, Physical Review Applied)

   Phononic nanodevices offer a promising route toward quantum technologies, as phonons combine strong confinement within matter with broad coupling capabilities to various quantum systems. In particular, the piezoelectric response of materials, such as lithium niobate, enables coupling between superconducting qubits and gigahertz-frequency phonons. However, bulk lithium niobate phononic devices typically rely on surface acoustic waves and are therefore inherently subject to leakage from the surface into the bulk substrate. Here, we explore the acoustic behavior of resonator cavities supporting GHz-frequency Lamb waves in a 200-nm-thick suspended lithium niobate layer. We characterize the acoustic response at both room and millikelvin temperatures. We find that our resonator cavities with strong confinement reach intrinsic quality factors of approximately 6000 at the single phonon level. We use the measured parameters of the resonators to model their coupling to a superconducting transmon qubit, allowing us to evaluate their potential as quantum acoustic devices. 

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3. Honeycomblike Phononic Networks of Spins with Closed Mechanical Subsystems

   https://doi.org/https://doi.org/10.1103/PhysRevApplied.11.064037  

   Li, Xinzhu; Kuzyk, Mark C; Wang, Hailin (June 2019, Physical review applied)

   We report the design of a diamond-based honeycomblike phononic network in which a mechanical resonator couples to three distinct phononic crystal waveguides. This two-dimensional (2D) phononic network extends an earlier study on one-dimensional (1D) phononic networks with closed mechanical subsystems. With a special design for the phononic band structures of the waveguides, any two neighboring resonators in the 2D network and the waveguide between them can form a closed mechanical subsystem, which enables nearest neighbor coupling and at the same time circumvents the scaling problems inherent in typical large mechanical systems. The nearest neighbor mechanical coupling allows the theoretical implementation of Molmer-Sorensen quantum gates between spins in adjacent mechanical resonators through phonon-assisted spin transitions. Honeycomblike phononic networks of spin qubits with nearest neighbor coupling can serve as an experimental platform for quantum computing and especially topological quantum error corrections. 

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4. Setting the stage for materials simulation using acoustic metamaterials digital quantum analogue computing platforms

   https://doi.org/10.1088/1361-651X/ac991e  

   Deymier, P A; Runge, K; Hasan, M A; Levine, J A; Cutillas, P (October 2022, Modelling and Simulation in Materials Science and Engineering)

   Abstract We present a model of an externally driven acoustic metamaterial constituted of a nonlinear parallel array of coupled acoustic waveguides that supports logical phi-bits, classical analogues of quantum bits (qubit). Descriptions of correlated multiple phi-bit systems emphasize the importance of representations of phi-bit and multiple phi-bit vector states within the context of their corresponding Hilbert space. Experimental data are used to demonstrate the realization of the single phi-bit Hadamard gate and the phase shift gate. A three phi-bit system is also used to illustrate the development of multiple phi-bit gates as well as a simple quantum-like algorithm. These demonstrations set the stage for the implementation of a digital quantum analogue computing platform based on acoustic metamaterial that can implement quantum-like gates and may offer promise as an efficient platform for the simulation of materials. 

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5. Coupled Nanomechanical Graphene Resonators: A Promising Platform for Scalable NEMS Networks

   https://doi.org/10.3390/mi14112103  

   Carter, Brittany; Hernandez, Uriel F; Miller, David J; Blaikie, Andrew; Horowitz, Viva R; Alemán, Benjamín J (November 2023, Micromachines)

   Arrays of coupled nanoelectromechanical resonators are a promising foundation for implementing large-scale network applications, such as mechanical-based information processing and computing, but their practical realization remains an outstanding challenge. In this work, we demonstrate a scalable platform of suspended graphene resonators, such that neighboring resonators are persistently coupled mechanically. We provide evidence of strong coupling between neighboring resonators using two different tuning methods. Additionally, we provide evidence of inter-resonator coupling of higher-order modes, demonstrating the rich dynamics that can be accessed with this platform. Our results establish this platform as a viable option for realizing large-scale programmable networks, enabling applications such as phononic circuits, tunable waveguides, and reconfigurable metamaterials. 

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