T-matrix analysis of biexcitonic correlations in the nonlinear optical response of semiconductor quantum wells

Takayama, R.; Kwong, N. H.; Rumyantsev, I.; Kuwata‐Gonokami, Makoto; Binder, R.

doi:10.1140/epjb/e20020051

Cited by 98 publications

(137 citation statements)

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“…Polaritons of different modes are coupled via their excitonic content, the coupling being provided mainly by the Coulomb interaction between excitons (also the anharmonic part of the exciton-photon interaction contributes). The microscopic theory of parametric polariton amplification [11] shows that the resulting Coulomb coupling strength is given by the exciton-exciton (XX) scattering rate [12] V XX ' 1:52E b a 2 0 (E b is the exciton binding energy and a 0 is the exciton Bohr radius) times the exciton fraction of the interacting polariton modes. This effective polariton-polariton interaction scatters a pair of pump polaritons into the lowest-energy state and into a higher-energy state (usually known as the idler mode).…”

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confidence: 99%

“…The analytical expression of F in terms of the two-exciton wave functions can be found in Refs. [12,16,18,19]. We observe that the strong exciton-photon coupling does not modify the memory kernel F as a consequence of the fact that four-particle correlations do not couple to cavity photons [16 -18].…”

mentioning

confidence: 99%

“…can be calculated by numerical diagonalization of the semiconductor Hamiltonian in the four-particle subspace. We calculated it for QWexcitons following a recent microscopic approach [12,18] based on the T matrix (Fig. 2).…”

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Many-Body and Correlation Effects on Parametric Polariton Amplification in Semiconductor Microcavities

2003

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The complexity induced by the Coulomb interaction between electrons determines the noninstantaneous character of exciton-exciton collisions. We show that the exciton-photon coupling in semiconductor microcavities is able to alter the exciton dynamics during collisions strongly affecting the effective scattering rates. Our analysis clarifies the origin of the great enhancement of parametric gain observed when increasing the polariton splitting. It also demonstrates that exciton-exciton collisions in semiconductors can be controlled and engineered to produce almost decoherence-free collisions for the realization of all-optical microscopic devices. DOI: 10.1103 The phase-coherent amplification of light-matter waves (cavity polaritons) recently observed is one of the most exciting developments in the field of semiconductor nonlinear optics [1][2][3][4][5][6][7]. It operates with analogous principles (but under very different conditions) of matterwave amplifiers based on ultracold atoms [8,9]. Very recently it has been shown that a semiconductor microcavity (SMC) can amplify (via phase-coherent amplification of polaritons) a weak light pulse more than 5000 times [7].Cavity polaritons are two-dimensional eigenstates of SMCs which result from the strong resonant coupling between cavity-photon modes and two-dimensional excitons in embedded quantum wells (QWs) [10]. The dynamics and hence the resulting energy bands of these mixed quasiparticles are highly distorted with respect to those of bare excitons and cavity photons (Fig. 1). The exciton-photon coupling rate V determines the splitting (2V) between the two polariton energy bands. Coherent amplification of polaritons requires a coupling mechanism able to transfer polaritons from a reservoir (in this case provided by polaritons resonantly excited by a pump laser pulse on the lower polariton dispersion) to the signal mode, while conserving energy and momentum. Polaritons of different modes are coupled via their excitonic content, the coupling being provided mainly by the Coulomb interaction between excitons (also the anharmonic part of the exciton-photon interaction contributes). The microscopic theory of parametric polariton amplification [11] shows that the resulting Coulomb coupling strength is given by the exciton-exciton (XX) scattering rate [12] V XX ' 1:52E b a 2 0 (E b is the exciton binding energy and a 0 is the exciton Bohr radius) times the exciton fraction of the interacting polariton modes. This effective polariton-polariton interaction scatters a pair of pump polaritons into the lowest-energy state and into a higher-energy state (usually known as the idler mode). Energy and momentum conservation requires 2! k ! 0 ! 2k , where ! k is the energy of a pump polariton injected with an in-plane wave vector k as shown in Fig. 1. The scattering process is stimulated by a weak signal beam injected perpendicular to the cavity (k 0) that is thus greatly amplified. It has recently been shown that increasing the exciton-photon coupling V by inserting a large number...

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Many-Body and Correlation Effects on Parametric Polariton Amplification in Semiconductor Microcavities

2003

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“…This coherent term originates from the non-Markovian nature of the exciton-exciton interaction when going beyond the usual Hartree-Fock approximation and corresponds to four-particle correlations [22]. Lastly, several state of the art microscopic calculations show that the EID strength is highly energy dependent and becomes large when the energy of the two scattered polaritons exceeds twice the exciton energy [23][24][25][26][27]. This might also explain the onset of the lower polariton EID towards positive cavity detuning.…”

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Coherent and incoherent aspects of polariton dynamics in semiconductor microcavities

et al. 2016

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The interaction between coherent polaritons and incoherent excitons plays an important role in polariton physics. Using resonant pump-probe spectroscopy with selective excitation of single polariton branches, we investigate the different dephasing mechanisms responsible for generating a long-lived exciton reservoir. As expected, pumping the upper polariton results in a strong dephasing process that leads to the generation of a long lived reservoir. Unexpectedly, we observe an efficient reservoir creation while exciting only the lower polariton branch when the detuning is increased towards positive detuning. We propose a simple theoretical model, the polaritonic Bloch equations, to describe the dynamics of the system.

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“…Γ describes the dephasing of two pair coherences (in the following we will use Γ = 2πγ x ). We calculated F (τ ) for QW excitons following a recent microscopic approach [12,13] based on the T-matrix. By this approach the 4-particle states |E m are expanded in terms of exciton-pairs on the 1s parabola.…”

Section: Many-body and Correlation Effects In Semiconductor Microcavimentioning

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Coherence and correlation in semiconductor microcavities

Stefano¹,

Savasta²,

Girlanda³

2004

Laser Phys. Lett.

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Abstract:We present an overview of our results concerning the influence of two-pair continuum coherences on the transient nonlinear optical response of semiconductor microcavities. We show that the interplay between these 4-particle coherences and the nonperturbative light-matter interaction produces highly desirable almost decoherence-free exciton-exciton collisions on the lower polariton branch. This effect gives rise to the very different nonlinear absorption rates on the two polariton branches observed in many experiments and make possible to reach a very high degree of amplification in samples with large Rabi splitting. Moreover, we show that the availability of almost decoherence free exciton-exciton collisions can be used for the realization of coherent trapping of polariton emission and amplification. This coherent manipulation and trapping of many-particle polariton states can be performed employing both ultrafast and continuous wave operation. The power dependence of the integrated gain

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T-matrix analysis of biexcitonic correlations in the nonlinear optical response of semiconductor quantum wells

Cited by 98 publications

References 4 publications

Many-Body and Correlation Effects on Parametric Polariton Amplification in Semiconductor Microcavities

Many-Body and Correlation Effects on Parametric Polariton Amplification in Semiconductor Microcavities

Coherent and incoherent aspects of polariton dynamics in semiconductor microcavities

Coherence and correlation in semiconductor microcavities

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