Abstract
Light-matter interaction in optomechanical systems is the foundation for ultra-sensitive detection schemes as well as the generation of phononic and photonic quantum states. Electromechanical systems realize this optomechanical interaction in the microwave regime. In this context, capacitive coupling arrangements demonstrated interaction rates of up to 280 Hz. Complementary, early proposals and experiments suggest that inductive coupling schemes are tunable and have the potential to reach the single-photon strong-coupling regime. Here, we follow the latter approach by integrating a partly suspended superconducting quantum interference device (SQUID) into a microwave resonator. The mechanical displacement translates into a time varying flux in the SQUID loop, thereby providing an inductive electromechanical coupling. We demonstrate a sideband-resolved electromechanical system with a tunable vacuum coupling rate of up to 1.62 kHz, realizing sub-aN Hz−1/2 force sensitivities. The presented inductive coupling scheme shows the high potential of SQUID-based electromechanics for targeting the full wealth of the intrinsically nonlinear optomechanics Hamiltonian.
Highlights
Light-matter interaction in optomechanical systems is the foundation for ultra-sensitive detection schemes as well as the generation of phononic and photonic quantum states
Designing, investigating, and understanding the optomechanical interaction plays a key role in tailoring the light-matter interaction and for testing quantum mechanics[1,2,3,4]
The photonic cavity is implemented as a microwave resonator and the electromechanical interaction is typically realized using a mechanically compliant capacitance, which transfers a mechanical displacement into a change of the resonance frequency of the microwave circuit[10,11,12,13,14,17]
Summary
Light-matter interaction in optomechanical systems is the foundation for ultra-sensitive detection schemes as well as the generation of phononic and photonic quantum states. SQUID tunable microwave resonators can be designed to realize qubits or effective two-level systems[22,23] In this context, electromechanical interactions have been studied[15,24,25,26,27] enabling large optomechanical couplings with the potential to realize quantum interference of massive objects’ trajectories[28]. Electromechanical interactions have been studied[15,24,25,26,27] enabling large optomechanical couplings with the potential to realize quantum interference of massive objects’ trajectories[28] They provide a route to implement even more complex coupled quantum systems, which, e.g., allow to create photon–phonon entanglement, phonon Fock state generation, and three partite entanglement[29,30,31]. We find a magnetic field tunable electromechanical vacuum coupling of up to 1.62 kHz
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