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Physical Review A

Optical Kerr nonlinearity in quantum-well microcavities: From polariton to dipolariton

Houcem Jabri, Hichem Eleuch

Published Dec 16, 2020• 15 citations
Publisher

Abstract

In this paper, we investigate the nonlinear optical properties and photon correlations in a cavity containing quantum wells and interacting with a third-order nonlinear medium. More precisely, we study the interaction of the photonic Kerr nonlinearity with polariton and dipolariton quasiparticles in thermal environments. The optical bistability, the intensity spectrum, and the squeezing spectrum of the transmitted radiation are analyzed. It is shown that the regime of the bistability is reached in the dipolariton cavity faster than attained by the polariton system. Furthermore, the increase of the coupling with the wells reduces the squeezing. More interestingly, it turns out that the additional interactions arising in the dipolariton cavity, between direct and indirect excitons, slow down the variation of the squeezing. As a consequence, dipolaritons offer a greater margin of squeezed light than polaritons, and also than the ${\ensuremath{\chi}}^{(3)}$ medium in the absence of quantum wells. Moreover, the dipolariton system is found to be much more robust against the bath temperature in the weak-coupling regime.

DOI
10.1103/physreva.102.063713

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In this paper, we investigate the nonlinear optical properties and photon correlations in a cavity containing quantum wells and interacting with a third-order nonlinear medium. More precisely, we study the interaction of the photonic Kerr nonlinearity with polariton and dipolariton quasiparticles in thermal environments. The optical bistability, the intensity spectrum, and the squeezing spectrum of the transmitted radiation are analyzed. It is shown that the regime of the bistability is reached in the dipolariton cavity faster than attained by the polariton system. Furthermore, the increase of the coupling with the wells reduces the squeezing. More interestingly, it turns out that the additional interactions arising in the dipolariton cavity, between direct and indirect excitons, slow down the variation of the squeezing. As a consequence, dipolaritons offer a greater margin of squeezed light than polaritons, and also than the \ensuremathχ(3){\ensuremath{\chi}}^{(3)}\ensuremathχ(3) medium in the absence of quantum wells. Moreover, the dipolariton system is found to be much more robust against the bath temperature in the weak-coupling regime.
Dipolaritons are quasiparticles formed in double quantum wells’ microcavities driven by a coherent field. Here, we investigate the correlations and the quantum fluctuations in the light emitted by a dipolariton cavity pumped by a laser. By studying the noise spectrum in the strong and weak coupling regimes, we show that the squeezing generated by the direct and indirect excitonic nonlinearities is strongly enhanced by coupling the system to a squeezed vacuum. As a consequence, this coupling transforms the statistical light propriety from coherent to highly squeezed states, depending on the squeeze parameter strength. Furthermore, the squeezed reservoir stabilizes the nonclassical effect even with the high fluctuations caused by indirect exciton nonlinearity. It turns out that the combination of excitonic nonlinearities and squeezed vacuum is a good solution for producing stable and strong squeezing.
Abstract The quantum noise and the squeezing effect, in the transmitted light, by a dipolariton system formed by a double quantum wells microcavity in the strong coupling regime are investigated. It is shown that the indirect exciton nonlinearity generates stronger squeezing than the direct exciton nonlinearity, nevertheless produces very high fluctuations for some particular detunings and nonlinearities. The system shows a considerable sensitivity to the thermal excitations where the coupling to the direct and indirect excitonic thermal baths progressively destroys the nonclassical effect. Despite that, indirect exciton squeezing manifests a higher resistance against the thermal bath temperature. As a result, the emission field is strongly governed by the indirect excitons, varying between robust squeezing and excess noise.
Dipolaritons are quasiparticles formed in double quantum wells microcavities. Due to direct and indirect excitonic nonlinearities, the system generates a strong thermal resistant squeezing of light, as demonstrated in article number 1900253 by Houcem Jabri and Hichem Eleuch. Depending on the electron tunneling, the nonclassical effect attains its maximum at the limit of the pulsed tunneling regime. This scheme paves the way to new sources of strong squeezed light, offering other possibilities and alternatives.
The main scope of this thesis is the investigation of quantum properties of nonlinear, dissipative, optical and condensed matter systems. Compared with previous studies on this subjects, we reached several milestone of general interests for the theoretical and experimental community. \nThe main experimental platform we refer to in this thesis is microcavity polaritons: polaritons arise from the coupling of light with excitons in a quantum well, i.e., a 2D semiconductor material embedded in the microcavity. They have attracted the interest of the scientific community for their rich physics. Polaritons can form out-of-equilibrium Bose-Einstein condensates, they can experience superfluid phase transition and, due to their interaction via the excitonic component, they show a variety of phenomena which are typical of nonlinear physics, such as bistability and parametric scattering. \nIn particular, motivated by recent proposals about the generation of single photons from weakly nonlinear system, like the unconventional photon blockade, and by the production of squeezed states in polariton systems, we studied the possibility of obtaining antibunched light and other quantum states (like squeezed states and entangled states), when the nonlinear system shows some peculiar features: in particular we consider polariton soliton and cascade systems. \nFinally, when considering nonlinear incoherent processes, we investigate the effect of the PT-symmetry and the PT-symmetry breaking on the quantum state of the emitted light. \nHence, this research work has two main objectives: first, from the fundamental physics point of view, to understand the interplay between nonlinear phenomena and quantum optics, second to provide useful tools for future technological applications. Specifically, for the latter case, we demonstrate a theorem that links the measurement of intensity correlations with the occurrence of certain phase transitions, and we propose a setup to maximize the non-classicality of the light emitted by weakly non-linear systems via a cascade configuration. \n \n \n
We show experimentally optical bistability and the existence of bright and dark resonator solitons in the strong coupling regime between quantum-well excitons and the optical field in a semiconductor microcavity. The strong coupling results in a quasi-particle exciton-polariton, which gives access to positive and negative reactive and dissipative optical nonlinearities, as opposed to the usual room temperature semiconductor nonlinearities possessing essentially only one sign. The existence range and the properties of solitons can be varied widely by the detuning between polariton states and light frequency.
Dipolaritons are a three-way superposition of a photon, a direct exciton, and an indirect exciton that are formed in coupled quantum well microcavities. As is the case with exciton-polaritons, dipolaritons have a self-interaction due to direct and exchange effects of the underlying electrons and holes. Here we present a theoretical description of dipolaritons and derive simple formulas for their basic parameters. In particular, we derive the effective dipolariton-dipolariton interaction taking into account exchange effects between the excitons. We obtain a simple relation to describe the effective interaction at low densities. We find that dipolaritons should condense under suitable conditions, described by a dissipative Gross-Pitaevskii equation. While the parameters for condensation are promising, we find that the level of tunability of the interactions is limited.