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Mechanical resonators towards quantum limit: NEMS group together with NANO, THEORY, KVANTTI Mika Sillanpää assoc. prof., team leader Juha-Matti Pirkkalainen MSc, grad student Golam Kibria ChowdhuryMSc, grad student Jaakko Sulkko undergrad student Erno Damskäggundergrad student

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Quantum limit of moving objects Mika Sillanpää, Low Temperature Laboratory Optomechanics Cohadon, PRL 83, 3174 (1999). Gigan, Nature 444, 67 (2006). Kippenberg, Science 321, 1173 (2008). c /(2 ~ Hz m /(2 ~ 10 6 Hz c /(2 ~ 10 6 Hz m /(2 ~ 100 Hz

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Circuit optomechanics Mika Sillanpää, Low Temperature Laboratory Microwave resonator (”cavity”) with a movable boundary condition Like an LC circuit with time-dependent capacitors

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Circuit optomechanics Mika Sillanpää, Low Temperature Laboratory High-impedance ”cavity” Focused Ion Beam (FIB) cutting of narrow vacuum gaps (~10 nm)

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Circuit optomechanics Mika Sillanpää, Low Temperature Laboratory Mechanical microwave amplification Coupling of mechanical resonators via cavity “quantum bus” F. Massel et al, Nature, 480, 351 (2011).

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Cavity QED with phonons Mika Sillanpää, Low Temperature Laboratory “Artificial atom” (transmon qubit) coupled to both photonic and phononic cavity

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Cavity QED with phonons Mika Sillanpää, Low Temperature Laboratory Phonon Stark shift ultrastrong light-matter coupling

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Cavity QED with phonons Mika Sillanpää, Low Temperature Laboratory Electromechanical Rabi flops Photon – phonon conversion Motional sidebands “Trapped-ion” experiments

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Future Mika Sillanpää, Low Temperature Laboratory Coupling of micromechanical resonators via ”cavity bus” Coherent phonon transfer in time domain Slowing down (and superluminal!) microwave pulses Coupling to Josephson junction qubits Increase coupling further Create non-classical states of purely mechanical object Circuit optomechanics with graphene large zero-point amplitude x ZP ~ 1 pm cool it near the ground state Single-phonon strong coupling

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Mika Sillanpää, Low Temperature Laboratory Mechanical resonators towards quantum limit: Circuit optomechanics Mechanical microwave amplifier Quantum-limited operation predicted Sideband cooling down to 1.8 phonon quanta Hybridization of multiple phonons and a photon phonon bus, creation of entanglement..? Phonon QED Motional sidebands of qubit spectral line Sideband Rabi oscillations Prospects Creation of non-classical states of slowly moving objects Long-lived quantum memory Mika Sillanpää, NEMS group

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