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arXiv:1109.0603

Quantum statistics of photon from a semiconductor microcavity embedded with a graphene nanoribbon

Guangcun Shan, C.H. Shek

Published Sep 3, 2011• 0 citations
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Abstract

In this work we have studied the quantum statistical properties of the photon emitted from a driven microcavity embedded with a single armchair-edged graphene nanoribbon (GNR). The system is coherently pumped with weak laser amplitude. Analytical expressions are derived in both strong and weak coupling regimes and the nonclassical proprieties of the emitted field have been investigated. Furthermore, it is concluded that this excitonic system presents several statistical similarities to the atomic system, in particular for the bad-cavity and good-cavity limits in the weak laser amplitude regime. We have shown that independently of the excitonic nonlinearity, which describes the interaction strength of the excitons in GNRs, the autocorrelation function is antibunched for an exciton cooperativity value range. More interestingly, it is demonstrated that the exciton-exciton interaction strength in GNR can be deduced from the value of the autocorrelation function at zero time delay of τ=0. Our theoretical results demonstrated that a microcavity embedded with a single GNR can serve as a nanophotonic device and a useful analysis method for a deep understanding of excitonic properties of GNRs.

DOI
10.48550/arxiv.1109.0603

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In this work we have studied the quantum statistical properties of the photon emitted from a driven microcavity embedded with a single armchair-edged graphene nanoribbon (GNR). The system is coherently pumped with weak laser amplitude. Analytical expressions are derived in both strong and weak coupling regimes and the nonclassical proprieties of the emitted field have been investigated. Furthermore, it is concluded that this excitonic system presents several statistical similarities to the atomic system, in particular for the bad-cavity and good-cavity limits in the weak laser amplitude regime. We have shown that independently of the excitonic nonlinearity, which describes the interaction strength of the excitons in GNRs, the autocorrelation function is antibunched for an exciton cooperativity value range. More interestingly, it is demonstrated that the exciton-exciton interaction strength in GNR can be deduced from the value of the autocorrelation function at zero time delay of τ=0. Our theoretical results demonstrated that a microcavity embedded with a single GNR can serve as a nanophotonic device and a useful analysis method for a deep understanding of excitonic properties of GNRs.
Abstract A quantum behavior of the light emitted by exciton polaritons excited in a pillar semiconductor microcavity with embedded quantum well is investigated. Considering the bare excitons and photon modes as coupled quantum oscillators allows for an accurate accounting of the nonlinear and dissipative effects. In particular, using the method of quantum states presentation in a quantum phase space via quasiprobability functions (namely, a P-function and a Wigner function), we study the effect of the laser and the exciton-photon detuning on the second order correlation function of the emitted photons. We determine the conditions for the phenomena of bunching, giant bunching, and antibunching of the emitted light. In particular, we predict the effect of a giant bunching for the case of a large exciton to photon population ratio. Within the domain of parameters supporting a bistability regime we demonstrate the effect of bunching of photons.
We study the charging and work-extraction properties of a graphene-based excitonic quantum battery embedded in a driven-dissipative optical microcavity. The system consists of a pair of intervalley excitons in strained graphene, where one exciton acts as the charger and the other as the quantum battery, both coupled to a common cavity mode through a Tavis-Cummings interaction. By solving the open-system dynamics, we analyze the ergotropy as a measure of extractable work and investigate how coherent and incoherent pumping, cavity loss, and the microcavity parameter influence the charging process. Our results show that the battery exhibits a transient ergotropy peak followed by relaxation to a steady state, with the maximum extractable work strongly controlled by the light-matter coupling strength. The study reveals an optimal regime for efficient charging and demonstrates the role of cavity engineering in enhancing work storage in excitonic quantum batteries.
We study how the interplay of weak excitation regime of quantum well confined in a semiconductor microcavity affects the dynamics of correlations and the statistical properties of photons. We discuss how the system parameters can impact the quantum entropy and Mandel’s parameter, and illustrate our concerns with numerical simulations. We have found that the enhancement of the correlations and the control of the statistical properties of photons in semiconductor microcavities for multi-photon excitation highly benefits from the combination of the strength of the field, excitonic spontaneous emission rate, cavity dissipative rate, and the coupling between the exciton and photons. Our results may have important implications not only for those specially interested in quantum optics and information, but also for the general physics community.
The quantum features of the temporal photon statistics of an exciton–cavity coupled system in a quantum-well semiconductor microcavity are investigated analytically. Under the secular approximation, if the nonlinear interactions, i.e. the exciton–exciton coupling and the phase-space filling, are much weaker than the exciton–photon interaction, the evolution of the Fano factor shows that the distribution of the photon numbers exhibits the feature of collapses–revivals (CRs), and the relevant revival time may be adjusted by several factors such as the total particle number, the detuning, and the nonlinear coupling strengths, etc. Especially, the ideal maximum antibunching with the minimum value 0 of the Fano factor occurs periodically for such a situation, with the dissipation of exciton–polariton being ignored.