Statistics of excitons in quantum dots and their effect on the optical emission spectra of microcavities

Laussy, Fabrice P.; Glazov, M. M.; Kavokin, A. V.; Whittaker, D. M.; Malpuech, Guillaume

doi:10.1103/physrevb.73.115343

Cited by 45 publications

(49 citation statements)

References 40 publications

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“…Aside from the useful but limited approaches based on the Boltzmann equations [22,23,24,25,26,27,28,29], most of the efforts have been put on models where an equation describing a pumped reservoir is coupled to a GP-like equation [16,17]. These models, which we will refer to as "diffusive" models, became popular and has been developed and used under several versions [18,30,31,32,33].…”

Section: Introductionmentioning

confidence: 99%

Hybrid Boltzmann–Gross-Pitaevskii theory of Bose-Einstein condensation and superfluidity in open driven-dissipative systems

et al. 2014

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We derive a theoretical model which describes Bose-Einstein condensation in an open driven-dissipative system. It includes external pumping of a thermal reservoir, finite life time of the condensed particles and energy relaxation. The coupling between the reservoir and the condensate is described with semi-classical Boltzmann rates. This results in a dissipative term in the Gross-Pitaevskii equation for the condensate, which is proportional to the energy of the elementary excitations of the system. We analyse the main properties of a condensate described by this hybrid Boltzmann Gross-Pitaevskii model, namely, dispersion of the elementary excitations, bogolon distribution function, first order coherence, dynamic and energetic stability, drag force created by a disorder potential. We find that the dispersion of the elementary excitations of a condensed state fulfils the Landau criterion of superfluidity. The condensate is dynamically and energetically stable as longs it moves at a velocity smaller than the speed of excitations. First order spatial coherence of the condensate is found to decay exponentially in 1D and with a power law in 2D, similarly with the case of conservative systems. The coherence lengths are found to be longer due to the finite life time of the condensate excitations. We compare these properties with the ones of a condensate described by the popular "diffusive" models in which the dissipative term is proportional to the local condensate density. In the latter, the dispersion of excitations is diffusive which as soon as the condensate is put into motion implies finite mechanical friction and can lead to an energetic instability.

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Section: Introductionmentioning

confidence: 99%

Hybrid Boltzmann–Gross-Pitaevskii theory of Bose-Einstein condensation and superfluidity in open driven-dissipative systems

et al. 2014

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“…Depending on the size of the QD, its elementary excitations can behave as fermions (small QDs whose size is comparable with exciton radius in the bulk material) [14], bosons (large QDs whose size is much larger than exciton radius in the bulk material) [15] or particles with intermediate statistics (medium size QDs) [16]. In the current paper, we consider a small single QD in a microcavity that corresponds to the case of fermions.…”

Section: Introductionmentioning

confidence: 99%

Asymmetric quantum dot in a microcavity as a nonlinear optical element

Savenko

Shelykh

2012

Phys. Rev. A

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We have investigated theoretically the interaction between individual quantum dot with broken inversion symmetry and electromagnetic field of a single-mode quantum microcavity. It is shown that in the strong coupling regime the system demonstrates nonlinear optical properties and can serve as emitter of the terahertz radiation at Rabi frequency of the system. Analytical results for simplest physical situations are obtained and numerical quantum approach for calculating emission spectrum is developed.

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“…Through a study of the time evolution of the polariton condensate polarization, Kavokin and coworkers [23], have also reached the conclusion that the condensate should be linearly polarized. While their work regards the dynamics of the system, we here focus on the statics of the condensate, looking for the true ground state, through exciton many-body effects induced by Pauli exclusion between these composite particles.…”

mentioning

confidence: 98%

Bose-Einstein Condensation in Semiconductors: The Key Role of Dark Excitons

Combescot

Betbeder‐Matibet

Combescot³

2007

Phys. Rev. Lett.

112

149

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The non elementary-boson nature of excitons controls Bose-Einstein condensation in semiconductors. Composite excitons interact predominantly through Pauli exclusion; this produces dramatic couplings between bright and dark states. In microcavities, where bright excitons and photons form polaritons, they force the condensate to be linearly polarized-as observed. In bulk, they also force linear polarization, but of dark states, due to interband Coulomb scatterings. To evidence this dark condensate, we thus need indirect processes, like the shift it induces on the (bright) exciton line.

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Statistics of excitons in quantum dots and their effect on the optical emission spectra of microcavities

Cited by 45 publications

References 40 publications

Hybrid Boltzmann–Gross-Pitaevskii theory of Bose-Einstein condensation and superfluidity in open driven-dissipative systems

Hybrid Boltzmann–Gross-Pitaevskii theory of Bose-Einstein condensation and superfluidity in open driven-dissipative systems

Asymmetric quantum dot in a microcavity as a nonlinear optical element

Bose-Einstein Condensation in Semiconductors: The Key Role of Dark Excitons

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