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arXiv:2006.14133 · Physical Review Letters

Rare-Earth-Mediated Optomechanical System in the Reversed Dissipation Regime

Ryuichi Ohta, Loïc Herpin, V. M. Bastidas, Takehiko Tawara, Hiroshi Yamaguchi, Hajime Okamoto

Published Jan 29, 2021• 29 citations
arXivHTMLPDF

Abstract

Strain-mediated interaction between phonons and telecom photons is demonstrated using excited states of erbium ions embedded in a mechanical resonator. Owing to the extremely long-lived nature of rare-earth ions, the dissipation rate of the optical resonance falls below that of the mechanical one. Thus, a "reversed dissipation regime" is achieved in the optical frequency region. We experimentally demonstrate an optomechanical coupling rate g_{0}=2π×21.7 Hz, and numerically reveal that the interaction causes stimulated excitation of erbium ions. Numerical analyses further indicate the possibility of g_{0} exceeding the dissipation rates of erbium and mechanical systems, thereby leading to single-photon strong coupling. This strain-mediated interaction, moreover, involves the spin degree of freedom, and has a potential to be extended to highly coherent opto-electro-mechanical hybrid systems in the reversed dissipation regime.

DOI
10.1103/physrevlett.126.047404

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Strain-mediated interaction between phonons and telecom photons is demonstrated using excited states of erbium ions embedded in a mechanical resonator. Owing to the extremely long-lived nature of rare-earth ions, the dissipation rate of the optical resonance falls below that of the mechanical one. Thus, a "reversed dissipation regime" is achieved in the optical frequency region. We experimentally demonstrate an optomechanical coupling rate g_{0}=2π×21.7 Hz, and numerically reveal that the interaction causes stimulated excitation of erbium ions. Numerical analyses further indicate the possibility of g_{0} exceeding the dissipation rates of erbium and mechanical systems, thereby leading to single-photon strong coupling. This strain-mediated interaction, moreover, involves the spin degree of freedom, and has a potential to be extended to highly coherent opto-electro-mechanical hybrid systems in the reversed dissipation regime.
Acoustically induced dressed states of long-lived erbium ions in a crystal are demonstrated. These states are formed by rapid modulation of two-level systems via strain induced by surface acoustic waves whose frequencies exceed the optical linewidth of the ion ensemble. Multiple sidebands and the reduction of their intensities appearing near the surface are evidence of a strong interaction between the acoustic waves and the ions. This development allows for on-chip control of long-lived ions and paves the way to highly coherent hybrid quantum systems with telecom photons, acoustic phonons, and electrons.
We consider a hybrid optomechanical system composed of an ensemble of identical rare earth ions embedded in a bulk crystal, and coupled to internal strain. We evidence the generation of a mechanical response within this hybrid system under resonant atomic excitation, which we find to be driven by two fundamental contributions: First, a conservative backaction force coined as piezo-orbital, coming along with the promotion of the atoms in their excited state. This effect is expected in all impurity-doped crystals and reflects the interaction between the ions' orbital shape and the crystal field of their host matrix. The second contribution corresponds to a dissipa-tive, photothermal backaction force associated with the non-radiative relaxation dynamics of the rare-earth ions. The two components are identified by means of a spatio-temporal mapping of the mechanically non-resonant op-tomechanical response in the bulk crystal. The optically resonant nature of the two effects and their fundamental connection to the internal atomic state dynamics are quantitatively confirmed.
The motion of a micromechanical resonator coupled simultaneously to a high-finesse optical cavity and a microwave resonator can be used to transduce the fragile quantum states generated in the realm of microwave superconducting circuits into optical photons that can transport quantum information over large distances in telecom optical fibers at room temperature. We have engineered the optical and mechanical properties of thin membranes patterned in a suspended high-stress Si3N4 film to realize such a hybrid opto-electro-mechanical system. An optical Fabry-Perot cavity with a finesse exceeding 12 000 was realized between a highly reflective photonic crystal patch realized on the suspended membrane and a conventional high-reflectivity mirror. The electromechanical coupling with a nearby planar superconducting circuit is achieved by approaching the membrane at a sub-micron distance from an on-chip interdigitated capacitor. By operating the hybrid opto-electro-mechanical system in a cryogenic environment, the photon-phonon swap rates between microwave, mechanical, and optical degrees of freedom is expected to overcome the mechanical decoherence rate.
The research article studies the unconventional photon blockade effect in a hybrid optomechanical system with an embedded spin-triplet state. The interaction between the optomechanical system and the spin state generates new transition paths for the destructive quantum interference of the two-photon excitation state. By analytically solving the Schrodinger equation and numerically simulating the master equation, it can be found that the modulated mechanical dissipation is essential for achieving the strong photon blockade in our system. Unlike the conventional cavity optomechanical system, the second-order correlation function g(2)(0) =0 can be obtained with the weak single-photon optomechanical coupling. By adjusting the system parameters, the strong photon blockade and the single-photon resonance can coincide, which indicates the hybrid system has the potential to be a high-quality and efficient single-photon source. Finally, the influence of the thermal noise on photon blockade is investigated. The results show that the second-order correlation function is more robust for the weaker phonon-spin coupling.