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Abstract Nanomechanical oscillators offer numerous advantages for quantum technologies. Their integration with superconducting qubits shows promise for hardware-efficient quantum error-correction protocols involving superpositions of mechanical coherent states. Limitations of this approach include mechanical decoherence processes, particularly two-level system (TLS) defects, which have been widely studied using classical fields and detectors. In this manuscript, we use a superconducting qubit as a quantum sensor to perform phonon number-resolved measurements on a piezoelectrically coupled phononic crystal cavity. This enables a high-resolution study of mechanical dissipation and dephasing in coherent states of variable size ($$\bar{n}\simeq 1-10$$ phonons). We observe nonexponential relaxation and state size-dependent reduction of the dephasing rate, which we attribute to TLS. Using a numerical model, we reproduce the dissipation signatures (and to a lesser extent, the dephasing signatures) via emission into a small ensemble (N = 5) of rapidly dephasing TLS. Our findings comprise a detailed examination of TLS-induced phonon decoherence in the quantum regime.more » « lessFree, publicly-accessible full text available December 1, 2025
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Wollack, E. Alex; Cleland, Agnetta Y.; Gruenke, Rachel G.; Wang, Zhaoyou; Arrangoiz-Arriola, Patricio; Safavi-Naeini, Amir H. (, Nature)
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Wollack, E. Alex; Cleland, Agnetta Y.; Arrangoiz-Arriola, Patricio; McKenna, Timothy P.; Gruenke, Rachel G.; Patel, Rishi N.; Jiang, Wentao; Sarabalis, Christopher J.; Safavi-Naeini, Amir H. (, Applied Physics Letters)
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Cleland, Agnetta Y.; Pechal, Marek; Stas, Pieter-Jan C.; Sarabalis, Christopher J.; Wollack, E. Alex; Safavi-Naeini, Amir H. (, Applied Physics Letters)
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Sarabalis, Christopher J.; Dahmani, Yanni D.; Cleland, Agnetta Y.; Safavi-Naeini, Amir H. (, Journal of Applied Physics)
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