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Bulletin of the American Physical Society

Flux-mediated electromechanical coupling between a mechanical oscillator and superconducting qubit

Tanmoy Bera, Sourav Majumder, Sudhir Kumar Sahu, Vibhor Singh

Published Mar 16, 2021• 0 citations
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IEEE Transactions on Applied Superconductivity•May 1, 2020•1 citation
Abstract Control over the quantum states of a massive oscillator is important for several technological applications and to test the fundamental limits of quantum mechanics. Addition of an internal degree of freedom to the oscillator could be a valuable resource for such control. Recently, hybrid electromechanical systems using superconducting qubits, based on electric-charge mediated coupling, have been quite successful. Here, we show a hybrid device, consisting of a superconducting transmon qubit and a mechanical resonator coupled using the magnetic-flux. The coupling stems from the quantum-interference of the superconducting phase across the tunnel junctions. We demonstrate a vacuum electromechanical coupling rate up to 4 kHz by making the transmon qubit resonant with the readout cavity. Consequently, thermal-motion of the mechanical resonator is detected by driving the hybridized-mode with mean-occupancy well below one photon. By tuning qubit away from the cavity, electromechanical coupling can be enhanced to 40 kHz. In this limit, a small coherent drive on the mechanical resonator results in the splitting of qubit spectrum, and we observe interference signature arising from the Landau-Zener-Stückelberg effect. With improvements in qubit coherence, this system offers a platform to realize rich interactions and could potentially provide full control over the quantum motional states.
We propose and analyze a quantum electromechanical system composed of a monolithic quartz bulk acoustic wave oscillator coupled to a superconducting transmon qubit via an intermediate LCLCLC electrical circuit. Monolithic quartz oscillators offer unprecedentedly high effective masses and quality factors for the investigation of mechanical oscillators in the quantum regime. Ground-state cooling of such mechanical modes via resonant piezoelectric coupling to an LCLCLC circuit, which is itself sideband cooled via coupling to a transmon qubit, is shown to be feasible. The fluorescence spectrum of the qubit, containing motional sideband contributions due to the couplings to the oscillator modes, is obtained and the imprint of the electromechanical steady state on the spectrum is determined. This allows the qubit to function both as a cooling resource for, and transducer of, the mechanical oscillator. The results described are relevant to any hybrid quantum system composed of a qubit coupled to two (coupled or uncoupled) thermal oscillator modes.
Mechanical oscillators can be implemented to store and transfer information or to build hybrid systems. In order to couple a mechanical oscillator to a superconducting qubit, we fabricate a superconducting capacitor, in which diluted photoresist or electron beam photoresist is used as sacrificial layers. The upper plate of the capacitor, a suspended membrane, acts as a mechanical oscillator. We obtain its mechanical resonant frequency and response to the input microwave. Such mechanical oscillators can be used as the capacitor of a superconducting qubit to form a coupled system. In order to control the resonant frequency of the mechanical oscillator and the microwave resonator, we introduce a dc voltage bias between the upper and lower plates of the capacitor. We analyze the electromechanical coupling such as pull-in effect and experimentally demonstrate the dependence of the resonant frequency on the applied dc voltage. These results will contribute to the design and fabrication of hybrid systems comprising voltage-controlled mechanical oscillators and other systems.