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Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC)

Demonstration of Piezo-Orbital Backaction Force in a Bulk Rare-Earth Ion-Doped Crystal

Anne Louchet-Chauvet, P. Verlot, J.-Ph. Poizat, T. Chanelière

Published Jun 26, 2023• 0 citations
Publisher

Abstract

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.

DOI
10.1109/cleo/europe-eqec57999.2023.10231490

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•Jan 1, 1999•0 citations
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.
Hybrid optomechanics can bridge the quantum and classical domains, to generally extend quantum principles to macroscopic scale. A milestone here would be observing the fundamental backaction force that occurs when a hybrid mechanical system is optically probed, which can be dominated by classical thermal effects. Using a large ensemble of rare-earth ions in a crystal plus time-resolved tomography, researchers see this backaction as a tiny distortion of the crystal's surface around a laser beam's spot, and unambiguously distinguish the photothermal contribution from that of the backaction. Thus rare-earth ions in crystals are confirmed as a promising platform for hybrid optomechanics.
It was recently shown that the optical excitation of rare-earth ions produces a local change of the host matrix shape, attributed to a change of the rare-earth ion's electronic orbital geometry. In this work we investigate the consequences of this piezo-orbital backaction and show from a macroscopic model how it yields a disregarded ion-ion interaction mediated by mechanical strain. This interaction scales as1/r3, similarly to the other archetypal ion-ion interactions, namely electric and magnetic dipole-dipole interactions. We quantitatively assess and compare the magnitude of these three interactions from the angle of the instantaneous spectral diffusion mechanism, and re-examine the scientific literature in a range of rare-earth doped systems in the light of this generally underestimated contribution.
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.
Material strain has recently received growing attention as a complementary resource to control the energy levels of quantum emitters embedded inside a solid-state environment.Some rare-earth ion dopants provide an optical transition which simultaneously has a narrow linewidth and is highly sensitive to strain.In such systems, the technique of spectral hole burning, in which a transparent window is burned within the large inhomogeneous profile, allows one to benefit from the narrow features, which are also sensitive to strain, while working with large ensembles of ions.However, working with ensembles may give rise to inhomogeneous responses among different ions.We investigate experimentally how the shape of a narrow spectral hole is modified due to external mechanical strain, in particular, the hole broadening as a function of the geometry of the crystal sites and the crystalline axis along which the stress is applied.Studying these effects is essential in order to optimize the existing applications of rare-earth-doped crystals in fields which already profit from the more-well-established coherence properties of these dopants, such as frequency metrology and quantum information processing, or even suggest alternative applications of these materials, for example, as robust devices for force-sensing or highly sensitive accelerometers.
By spectrally hole burning an inhomogeneously broadened ensemble of ions while applying a controlled perturbation, one can obtain spectral holes that are functionalized for maximum sensitivity to different perturbations. We propose to use such hole-burned structures for the dispersive optical interaction with rare-earth-ion dopants whose frequencies are sensitive to crystal strain due to the bending motion of a crystal cantilever. A quantitative analysis shows that good optical sensitivity to the bending motion is obtained if a magnetic-field gradient is applied across the crystal during hole burning and that the resulting optomechanical coupling strength is sufficient for observing quantum features such as zero-point vibrations.
This thesis reports experiments and theory on intrinsic mirrorless bistability in the luminescence of ytterbium-doped crystals and glasses. The main results are the observation of intrinsically bistable luminescence at room temperature and chromatic switching at low temperature, reported here for the first time. The nonlinear dynamics responsible for these optical phenomena are shown to arise from ion-ion interactions controlled by the application of resonant electromagnetic fields. On the theoretical side, the classical Lorentz local field correction is shown to be the lowest order term of radiation-driven correlation contributions to local polarization which arise from inter-ion coherences and cooperative relaxation and frequency shifts beyond the dynamic shift are predicted. The nonlinear Maxwell-Bloch equations are extended to describe energy transfer between different species of ions predicting bistability in excited state populations which then emit bistable luminescence as a consequence, and an intensity dependent transfer rate is predicted. Diffusive excitation migration in space is also explored as a possible mechanism for generating multiple instabilities, but is not predicted to give rise to hysteresis loops by itself. On the experimental side, original observations of intrinsic optical switching and hysteresis are reported in the luminescence of Yb:CsCdBr 3 and Yb, Tm:glass. Evidence of cross-coupling between different impurities is also presented, together with spectroscopic details of intrinsic chromatic switching between different luminescent transitions of the acceptor species in Yb, Er:CsCdBr3 excited at the infrared Yb resonance wavelength. Conclusive spectroscopic evidence that excludes thermal effects as responsible for low temperature intrinsic switching is also presented. Room temperature intrinsic optical switching and hysteresis are reported for the first time in bulk Yb,Tm:glass samples. Switching, hysteresis, and clamping of laser output from waveguide channels fabricated in the glass material are also reported and indicate fundamental design limitations for compact optical amplifiers and oscillators.