Observation of the coupled exciton-photon mode splitting in a semiconductor quantum microcavity. C. Weisbuch, M. Nishioka, A. Ishikawa and Y. Arakawa in Phys. Rev. Lett. 69:3314 (1992). What the paper says!?
This is the seminal paper for microcavity-polariton physics, although the reported effect (Rabi splitting at resonance) is contrasted against polaritons, which are then understood as the bulk propagation in crystals, as defined by Hopfield:[1]
The dichotomy is complete with the observations that «Although representing the fundamental electromagnetic excitations of 3D crystals, polaritons are not versatile and cannot be tailored at will. The new system (inset of Fig. 1) which we use here should prove much more important in that respect [...]» and, later, that «There is no exciton polariton like in the 3D semiconductor case». This last statement is the most vexing one in the full paper, it describes the fact that excitons are blocked along the quantization axis and thus cannot propagate (as they would in the bulk). This shortsighting is a bit surprising as the Authors highlight that, in contrast to atomic experiments:
In our experiments, excitons can have in-plane wave vectors which allow excitons to couple to oblique FP modes.
They can therefore propagate in-plane, and the 2D-polariton or cavity-polariton picture is compelling, but it is not made. One must understand the offending sentence, however, as "there is no 3D exciton polariton", rather than "there is no polariton, like in 3D" (note the added comma). In a footnote, the Authors indeed emphasize the dimensionality issue by referring to the the transition from 2D excitons to 3D polaritons just discussed by J. Knoester.[2] The Authors got very close to writing in full the direct consequence of what they understood:
It therefore seems surprising that the excitons, which can interact with a continuum of photon modes, should display a Rabi oscillation evidencing the coupling to a single photon mode. However, because of the translational invariance of the crystal in the QW plane, the in-plane exciton wave vector is a good quantum number and must equal that of a photon in an optical transition. Therefore, an optically created exciton will have a well-defined in-plane wave vector, and will only interact with one cavity mode with the same transverse photon wave vector[...]
Namely, they observed 2D-polaritons. Interestingly, Weisbuch was also involved in the previous «most direct evidence of polaritons» (of the conventional, or 3D, type).[3] The connection to polaritons will be made a few months later, in July (1993), in a Cargese school organized by Weisbuch (and E. Burstein). There the new quasiparticle will be called Cavity-Polariton.[4]
The description of the Rabi oscillations nevertheless fits the modern definition of the polariton:
Rabi oscillations can be seen as a coupled-oscillator process, by which resonantly coupled atomic and field oscillators periodically exchange energy. In a mechanical oscillator description, the overall system response yields two split modes corresponding to the normal modes. In an atomic transition language, one considers the system as undergoing a coherent evolution with a photon being absorbed by an atom, which subsequently emits a photon with the same energy and wave vector k, that photon being reabsorbed, and so on.
At the time, the highlight was regarded instead as bringing a QED-counterpart in the solid-state of atomic experiments, which were «so far [...] quite separate»:
Much precaution was taken, even in the abstract, as to what was reported:
This effect can be seen as the Rabi vacuum-field splitting of the quantum-well excitons, or more classically as the normal-mode splitting of coupled oscillators
The observation comes against prior predictions of the difficulty (or impossibility) of observing Rabi oscillations from electron-hole transitions.[5] The benefit of excitons instead of e/h pairs seems to be first appreciated in this paper.
The paper also makes an implicit mention to what would become the polariton laser (without naming it this, especially given the anti-polariton stance of this paper, but referring to «the thresholdless laser») through Ref. [6].
The reference to M. Raizen et al.[7] (Ref. 2 of the paper) is misattributed to R. J. Thompson.
Quoted references
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- Normal-mode splitting and linewidth averaging for two-state atoms in an optical cavity. M. G. Raizen, R. J. Thompson, R. J. Brecha, H. J. Kimble and H. J. Carmichael in Phys. Rev. Lett. 63:240 (1989).
- Vacuum Rabi splitting as a feature of linear-dispersion theory: Analysis and experimental observations. Y. Zhu, D. J. Gauthier, S. E. Morin, Q. Wu, H. J. Carmichael and T. W. Mossberg in Phys. Rev. Lett. 64:2499 (1990).
- Book chapter by Yamamoto & Modification of spontaneous emission rate in planar dielectric microcavity structures. G. Björk, S. Machida, Y. Yamamoto and K. Igeta in Phys. Rev. A 44:669 (1991).
- Inhibited Spontaneous Emission in Solid-State Physics and Electronics. E. Yablonovitch in Phys. Rev. Lett. 58:2059 (1987). and Photonic Band Structure. E. Yablonovitch in Opt. Photonics News 2:27 (1991).
- Analysis of semiconductor microcavity lasers using rate equations. G. Björk and Y. Yamamoto in IEEE Quantum Electron. 27:2386 (1991).
- «For a recent and exhaustive review, see S. Haroche, in Fundamental Systems in Quantum Optics, edited by J. Dalibard et al. (Elsevier, Amsterdam, 1992); see also» Cavity Quantum Electrodynamics. S. Haroche and D. Kleppner in Physics Today 42:24 (1989).
- Enhanced spontaneous emission from GaAs quantum wells in monolithic microcavities. H. Yokoyama, K. Nishi, T. Anan, H. Yamada, S. D. Brorson and E. P. Ippen in Appl. Phys. Lett. 57:2814 (1990).
- Enhanced and inhibited spontaneous emission in GaAs/AlGaAs vertical microcavity lasers with two kinds of quantum wells. T. Yamauchi, Y. Arakawa and M. Nishioka in Appl. Phys. Lett. 58:2339 (1991).
- Theory of Spontaneous-Emission Line Shape in an Ideal Cavity. J. J. Sanchez-Mondragon, N. B. Narozhny and J. H. Eberly in Phys. Rev. Lett. 51:550 (1983).
- Dynamic Stark effect of exciton and continuum states in CdS. N. Peyghambarian, S. Koch, M. Lindberg, B. Fluegel and M. Joffre in Phys. Rev. Lett. 62:1185 (1989).; Ultrafast adiabatic following in semiconductors. R. Binder, S. Koch, M. Lindberg, N. Peyghambarian and W. Schäfer in Phys. Rev. Lett. 65:899 (1990).; Femtosecond excitonic bleaching recovery in the optical Stark effect of GaAs/Al$_x$Ga$_{1-x}$As multiple quantum wells and directional couplers. S. Lee, P. Harten, J. Sokoloff, R. Jin, B. Fluegel, K. Meissner, C. Chuang, R. Binder, S. Koch, G. Khitrova, H. Gibbs, N. Peyghambarian, J. Polky and G. Pubanz in Phys. Rev. B 43:1719 (1991).
- Cavity quantum electrodynamics in quantum well lasers. Y. Yamamoto, S. Machida and G. Björk in Surf. Sci. 267:605 (1992).
- «See, e.g. , R. Knox, Theory of ExcitonsSolid , State Phys. (Academic, New York, 1963), Suppl. 5; J. O. Dimmock, in Semiconductors and Semimetals, edited by R. K. Willardson and A. C. Beer (Academic, New York, 1967), p.259.»
- Subnatural linewidth averaging for coupled atomic and cavity-mode oscillators. H. J. Carmichael, R. J. Brecha, M. G. Raizen, H. J. Kimble and P. R. Rice in Phys. Rev. A 40:5516 (1989).
- On the interaction between the radiation field and ionic crystals. K. Huang in Proc. R. Soc. Lond. A 208:352 (1951).
- Theory of the Contribution of Excitons to the Complex Dielectric Constant of Crystals. J. J. Hopfield in Phys. Rev. 112:1555 (1958).
- Polariton Reflectance and Photoluminescence in High-Purity GaAs. D. Sell, S. Stokowski, R. Dingle and J. DiLorenzo in Phys. Rev. B 7:4568 (1973).
- Raman Scattering by Polaritons. C. Henry and J. Hopfield in Phys. Rev. Lett. 15:964 (1965).
- Resonant Brillouin Scattering of Excitonic Polaritons in Gallium Arsenide. R. G. Ulbrich and C. Weisbuch in Phys. Rev. Lett. 38:865 (1977).
- «See, e.g., M. Born and E. Wolf, Principles of Optics (Pergamon, Oxford, 1986), 6th ed.»
- «See, e.g., Vertical-cavity surface-emitting lasers: Design, growth, fabrication, characterization. J. Jewell, J. Harbison, A. Scherer, Y. Lee and L. Florez in IEEE Quantum Electron. 27:1332 (1991)., and references therein.»
- «The transition from 2D excitons to 3D polaritons was recently discussed by»Optical dynamics in crystal slabs: Crossover from superradiant excitons to bulk polaritons. J. Knoester in Phys. Rev. Lett. 68:654 (1992).
- Room-temperature excitonic nonlinear-optical effects in semiconductor quantum-well structures. D. Chemla and D. Miller in J. Opt. Soc. Am. B 2:1155 (1985).
- «See, e.g., Subpicosecond four-wave mixing in GaAs$x$Ga$_{1-x}$As quantum wells. K. Leo, E. Göbel, T. Damen, J. Shah, S. Schmitt-Rink, W. Schäfer, J. Müller, K. Köhler and P. Ganser in Phys. Rev. B 44:5726 (1991)., and references therein.»
- Accurate theory of excitons in GaAs-Ga$_{1-x}$Al$_x$As quantum wells. L. C. Andreani and A. Pasquarello in Phys. Rev. B 42:8928 (1990).
- «See, e.g. , C. Weisbuch and B. Vinter, Quantum Semiconductor Heterostructures (Academic, Boston, 1991).»
References