Polariton correlation in microcavities produced by parametric scattering

Langbein, Wolfgang Werner

doi:10.1002/pssb.200560967

Cited by 10 publications

(12 citation statements)

References 25 publications

(32 reference statements)

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“…Although speckles are hardly visible in photoluminescence because of the small photon content of the modes in the idler region, an experimental signature of this effect can be found in Ref. 12, where, in spite of the very small amount of exciton disorder ͑1 order of magnitude lower than in our simulation͒, speckles are visible in the two-pump configuration.…”

Section: Numerical Results and Discussionmentioning

confidence: 54%

“…24 Our result thus suggests that this failure is due to exciton disorder that relaxes the phase-matching condition in the excitonlike part of the polariton branch. Indeed, the only clear evidence of this pattern ͑for a pulsed pump͒ has been reported for a sample specially designed to minimize exciton disorder, 11,12 characterized by 0.07 meV exciton inhomogeneous broadening. As expected from the linear response theory, at small momenta, the effect of exciton disorder is less evident.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

“…10 After deriving the general theory, we present the predictions for a disordered system and discuss the comparison with experiments. 11,12 …”

Section: Introductionmentioning

confidence: 99%

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Polariton parametric photoluminescence in spatially inhomogeneous systems

2009

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A general theory of polariton parametric photoluminescence in spatially inhomogeneous systems is developed. The quantum Langevin equations are solved in a generalized Bogoliubov-de Gennes approximation. We apply the formalism to the specific case of a disordered microcavity. In this case, we numerically solve the equations for the coherent emission and the photoluminescence. We describe the effect of the exciton and photon disorder on the photoluminescence pattern exhibited in momentum space, finding a good agreement with the experimental observations.

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Section: Numerical Results and Discussionmentioning

confidence: 54%

Section: Numerical Results and Discussionmentioning

confidence: 99%

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Polariton parametric photoluminescence in spatially inhomogeneous systems

2009

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“…Ideally, nonlinear effects in a QW become important when the excitons approach the saturation density [133]. Recently, however, more subtle nonlinear effects such as the polariton parametric scattering [33,35,131,141] have been observed in the limit of the lowest densities accessible in an optical experiment (see also the contributions by Staehli et al [139], by Baumberg et al [13], and by W. Langbein [85] to the present volume). The second important difference between atom-cavity normal-mode coupling and bulk polaritons is the way the single-mode selection is performed.…”

Section: Introductionmentioning

confidence: 71%

Fifteen Years of Microcavity Polaritons

Savona

2006

The Physics of Semiconductor Microcavities

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In semiconductors with a direct interband optical transition, the fundamental electronic excitations above the ground state are excitons, namely hydrogen-like bound electron-hole pairs. In a perfect bulk semiconductor material, however, a correct description of the excited states must include the linear coupling of excitons to the electromagnetic field. This coupling gives rise to normal modes that are linear superpositions of one exciton and one photon mode, called exciton-polaritons . Exciton-polaritons are the actual excited states of a bulk semiconductor.Bulk polaritons were suggested in 1958 by J. Hopfield [58] and measured a few years later by means of non-linear optical spectroscopy [2,52,57,152]. The normal-mode coupling for polaritons is aresult of momentum conservation in the exciton-photon interaction. This selection rule imposes a one-to-one coupling between exciton and photon modes having the same momentum. As a consequence, within the linear coupling regime, the situation is analogous to that of two linearlycoupled harmonic oscillators. Two normal modes at different energies, the upper and the lower polariton, are formed. Due to the very different exciton and photon energy dispersion, as a function of momentum, polariton modes display an anticrossing with a minimum energy separation that can be as large as 16 meV in bulk GaAs [2]. Within the anticrossing region, polaritons are full admixtures of exciton and photon modes, while they have pure exciton or photon character far from it.The concept of polaritons remained linked to the physics of bulk semiconductors for more than two decades. The progress in fabrication of epitaxial semiconductor heterostructures, particularly quantum wells (QWs) led naturally to a description of their electronic excitations in terms of the polariton concept. However, because of the mismatch in the dimensionality of excitons (2D) and photons (3D), momentum conservation applies only to the in-plane component, and one exciton mode couples to a continuum of photon modes, resulting in an irreversible radiative decay instead of a normal-mode coupling [6,44]. Only at larger in-plane momenta, photon modes that are evanescent in the direction orthogonal to the QW can form surface polari- Physics of Semiconductor Microcavities: From Fundamentals toNanoscale DevicesEdited by Benoit Deveaud

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“…We neglect the effects of energy splitting between TE an TM polariton modes. This effect is relevant only at quite high angles and can be prevented by using a scheme with two energy degenerate pumps ( p ω k ) at quite small angles [25]. In this case parametric processes from only one pump are not allowed by energy and momentum conservations, but mixed processes involving both pumps are allowed.…”

Section: Spin-entangled Cavity Polaritonsmentioning

confidence: 97%

Quantum optics with interacting polaritons

Savasta

Stefano

2006

Physica Status Solidi (b)

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PACS 42.50. Dv, 42.50.Nn, 71.35.Gg, 71.36.+c Recent theoretical and experimental investigations evidencing quantum optical effects in semiconductor microcavities are reported. In particular the results of an experiment that probes polariton quantum correlations by exploiting quantum complementarity are described. In this experiment, it has been shown that polaritons in two distinct idler modes interfere if and only if they share the same signal mode so that which-way information cannot be gathered, according to Bohr's quantum complementarity principle. The experimental results prove the existence of polariton pair correlations that store the which-way information. This interpretation is confirmed by a theoretical analysis of the measured interference visibility in terms of quantum Langevin equations. The devised experimental scheme employs two frequencydegenerate mutually-coherent pump modes. It is shown that this kind of two-pump parametric schemes can be exploited to realize a number of interesting tasks as the emission of polarization-entangled cavitypolariton states and the coherent control and trapping of parametric amplification in SMCs.

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Polariton correlation in microcavities produced by parametric scattering

Cited by 10 publications

References 25 publications

Polariton parametric photoluminescence in spatially inhomogeneous systems

Polariton parametric photoluminescence in spatially inhomogeneous systems

Fifteen Years of Microcavity Polaritons

Quantum optics with interacting polaritons

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