Polariton Resonances for Ultrastrong Coupling Cavity Optomechanics in $\mathrm{GaAs}/\mathrm{AlAs}$ Multiple Quantum Wells

Polariton Resonances for Ultrastrong Coupling Cavity Optomechanics in $GaAs / AlAs$ Multiple Quantum Wells

B. Jusserand, A. N. Poddubny, A. V. Poshakinskiy, A. Fainstein, and A. Lemaitre

Phys. Rev. Lett. 115, 267402 – Published 29 December 2015

Abstract

Polariton-mediated light-sound interaction is investigated through resonant Brillouin scattering experiments in $GaAs / AlAs$ multiple-quantum wells. Photoelastic coupling enhancement at exciton-polariton resonance reaches $10^{5}$ at 30 K as compared to a typical bulk solid room temperature transparency value. When applied to GaAs based cavity optomechanical nanodevices, this result opens the path to huge displacement sensitivities and to ultrastrong coupling regimes in cavity optomechanics with couplings $g_{0}$ in the range of 100 GHz.

Received 16 September 2015

DOI:https://doi.org/10.1103/PhysRevLett.115.267402

Physics Subject Headings (PhySH)

Electro-optical spectra Piezoelectricity Polaritons

III-V semiconductors Quantum wells

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

B. Jusserand¹, A. N. Poddubny², A. V. Poshakinskiy², A. Fainstein³, and A. Lemaitre⁴

¹Institut des Nanosciences de Paris, CNRS UMR 7588, Université Pierre et Marie Curie (UPMC), 75005 Paris, France
²Ioffe Institute, 194021 St. Petersburg, Russia
³Centro Atomico Bariloche and Instituto Balseiro, C.N.E.A., 8400 S. C. de Bariloche, R. N., Argentina
⁴Laboratoire de Photonique et de Nanostructures, CNRS UPR 20, 91460 Marcoussis, France

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Vol. 115, Iss. 26 — 31 December 2015

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Figure 1
Left panel: Brillouin backscattering spectra obtained at different temperatures between 30 and 180 K. Intensities have been rescaled and the baselines shifted for clarity. For each temperature, the laser energy coincides with the maximum of the (heavy-hole) exciton line. The lines are labeled 0, 1, and 2 corresponding to the unfolded LA line and the folded FLA1 and FLA2 lines, respectively. Middle and right panel: Variation of the width and the shift of the FLA1 line in the Stokes side plotted as a function of the energy shift relative to the temperature dependent exciton resonance energy (shown with a vertical line). In the center (right) panel, the baseline (a line at $5.3 {cm}^{- 1}$ ) is shown as a thin line for each temperature.
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Figure 2
Variation of the FLA1 line intensity in the Stokes side (FLA1, ST) measured at different temperatures between 30 and 290 K (open squares), plotted as a function of the incident laser wavelength. The latter has been varied around the temperature-dependent exciton resonance. The full lines represent the best fit of the experimental data. The temperature variation of the nonradiative damping parameter (open squares) deduced from the fit is shown in the inset and compared with a simple formula taking into account both the acoustic and LO phonon contributions to the damping (full line).
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Figure 3
Variation of the intensity of all Brillouin lines measured at 30 (left panel) and 290 K (center panel), plotted (open squares) as a function of laser energy, around the fundamental exciton resonance (different energy scale for the two temperatures). The continuous curves represent the best fit of the experimental data. The calculated static component ( $Ω = 0$ ) is also shown in both panels. The top right panel shows with thin lines the modulus of $p_{12} (ω)$ deduced from our model for all considered temperatures (see text for details). The curve corresponding to 290 K is used to provide an absolute calibration for $p_{12} (ω)$ by comparison with a previous determination performed at this temperature in the transparency region [11], shown with open circles. To allow for an energy overlap between the two measurements, a theoretical extrapolation of these data towards the exciton energy is also presented (dotted line). Based on this absolute calibration the resulting maximum values of $p_{12}$ at resonance are shown in the bottom right panel for the different temperatures measured (see text for more details).
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Physical Review Letters

Polariton Resonances for Ultrastrong Coupling Cavity Optomechanics in GaAs/AlAs Multiple Quantum Wells

B. Jusserand, A. N. Poddubny, A. V. Poshakinskiy, A. Fainstein, and A. Lemaitre

Phys. Rev. Lett. 115, 267402 – Published 29 December 2015

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Polariton Resonances for Ultrastrong Coupling Cavity Optomechanics in $GaAs / AlAs$ Multiple Quantum Wells