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Emission quantique spontanée : modifications induites par l'environnement

Emmanuel Lassalle

Published Jul 5, 2019• 0 citations
OpenAlex

Abstract

The control of the spontaneous emission of quantum emitters is of fundamental importance for the development of future quantum technologies, like quantum cryptography or quantum computing. Such applications rely on the manipulation of atoms, molecules, or "artificial" atoms, as elementary sources of light, and on the exploitation of the quantum nature of the emitted light, single photons. With the recent developments in nanofabrication techniques and nanotechnologies, the modification of the dynamics of the spontaneous emission by the environment is being investigated at the level of a few emitters, allowing for unprecedented control and manipulation of the spontaneous emission. In parallel to the experimental efforts, theoretical understanding of the fundamental interaction mechanisms between quantum emitters and their environment also becomes more and more essential.In this thesis, we tackle three different paradigms of the spontaneous emission phenomenon, all dealing with modifications of the spontaneous emission induced the environment. Firstly, we tackle the problem of monitored spontaneous emission, that is how the processus of emission is modified when the emitting system is being frequently monitored by an external observer, and which is closely related to the problem of measurementin quantum mechanics. Secondly, we consider the interaction between quantum emitters and optical resonances supported by nearby nanostructures. Finally, we study the remote interaction between quantum emitters and surfaces engraved with nanostructures which are designed and arranged in specific patterns, so-called metasurfaces.We present and deal with different formalisms to model such different situations, interfacing different fields of physics like quantum optics and nanophotonics. In each of these situations, we illustrate with realistic theoretical predictions how the spontaneous emission is modified: in the first case, how the lifetime of the quantum emitter is altered,in the second case how the frequency of the emitted photon is altered, and in the last situation how the environment may induce quantum coherence in the emitter. For each case, for provide with experimental proposals for future confirmations of these predictions, to bring a better understanding and control over these fundamental processes.

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Environment induced modifications of spontaneous quantum emission

Emmanuel Lassalle

Emission quantique spontanée : modifications induites par l'environnement Le contrôle de l’émission spontanée d’émetteurs quantiques est d’une importance capitale dans le développement des futures technologies quantiques. La base de ces applications consiste en la manipulation d’atomes, de molécules ou d’atomes "artificiels", comme sources élémentaires de lumière, et en l’exploitation de la nature quantique de la lumière émise, constituée de photons uniques. En parallèle des développements récents des techniques de nanofabrication et des nanotechnologies, une compréhension théorique des mécanismes d’interaction fondamentaux entre émetteurs quantiques et leur environnement devient également capitale. Dans cette thèse, nous considérons l’émission spontanée dans trois paradigmes différents, traitant de la modification de ce processus due à l’environnement : le problème du "monitorage" de l’émission spontanée, l’interaction d’émetteurs quantiques avec des résonances optiques supportées par des structures nanométriques placées à proximité et l’interaction lointaine entre des émetteurs et des méta-surfaces. Nous présentons et utilisons différents formalismes pour modéliser ces différentes situations, qui interfacent différents domaines de la physique comme l’optique quantique et la nanophotonique. Nous illustrons chaque situation par des prédictions théoriques réalistes sur comment l’émission spontanée est modifiée. Pour chacune de ces prédictions, nous faisons des propositions expérimentales pour de futures confirmations de ces effets, afin d’améliorer notre compréhension et le contrôle de ces processus fondamentaux d’interaction lumière-matière

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Spontaneous Emission in 2D Arbitrary Inhomogeneous Environment

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Control of spontaneously emitted light lies at the heart of quantum optics. It is essential for diverse applications ranging from lasers, light-emitting diodes, solar cells, and quantum information. According to the quantum electrodynamics theory, the spontaneous emission (SE) of an atom can be a weak-coupling radiation process due to the vacuum fluctuations of electromagnetic field. A suitable modification of inhomogeneous environment is required so that the vacuum fluctuations controlling the SE can be manipulated. Inhibiting unwanted SE and boosting desired ones will promote the novel optoelectronic designs tailored to industrial standard. The local density of states (LDOS) counts the number of electromagnetic modes where photons can be emitted at the specific location of the emitter, and can be interpreted as the density of vacuum fluctuations. The inhibition or enhancement of SE boils down to how the LDOS of photons is controlled. In this work, the SE of the excited atoms in 2D arbitrary inhomogeneous environment has been systematically studied. The LDOS determines the radiation dynamics of a point source (for 3D) or a line source (for 2D). In particular, it also determines the SE rate, and the LDOS is represented by the electric dyadic Green’s function. The numerical solution of the electric Green’s tensor has been accurately obtained by the finite-difference frequency-domain method with the proper approximations of the monopole and dipole sources. The SE of the atoms in the photonic crystal and plasmonic metal plates has been comprehensively and comparatively investigated. For both systems, the SE strongly depends on their respective dispersion relations and could be modified or tuned by the finite-structure or finite-size effects. This work is important for the SE engineering and optimized design of optoelectronic devices.

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We consider the spontaneous emission of a two-level quantum emitter, such as an atom or a quantum dot, in a modulated time-dependent environment with a photonic band gap. An example of such an environment is a dynamical photonic crystal or any other environment with a band gap whose properties are modulated in time, in the effective mass approximation. After introducing our model of a dynamical photonic crystal, we show that it allows new possibilities to control and tailor the physical features of the emitted radiation, specifically its frequency spectrum. In the weak-coupling limit and in an adiabatic case, we obtain the emitted spectrum and we show the appearance of two lateral peaks due to the presence of the modulated environment, separated from the central peak by the modulation frequency. We show that the two side peaks are not symmetric in height, and that their height ratio can be exploited to investigate the density of states of the environment. Our results show that a dynamical environment can give further possibilities to modify the spontaneous emission features, such as its spectrum and emission rate, with respect to a static one. Observability of the phenomena we obtain is discussed, as well as relevance for tailoring and engineering radiative processes.

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The control of the spontaneous emission of quantum emitters is of fundamental importance for the development of future quantum technologies, like quantum cryptography or quantum computing. Such applications rely on the manipulation of atoms, molecules, or "artificial" atoms, as elementary sources of light, and on the exploitation of the quantum nature of the emitted light, single photons. With the recent developments in nanofabrication techniques and nanotechnologies, the modification of the dynamics of the spontaneous emission by the environment is being investigated at the level of a few emitters, allowing for unprecedented control and manipulation of the spontaneous emission. In parallel to the experimental efforts, theoretical understanding of the fundamental interaction mechanisms between quantum emitters and their environment also becomes more and more essential.In this thesis, we tackle three different paradigms of the spontaneous emission phenomenon, all dealing with modifications of the spontaneous emission induced the environment. Firstly, we tackle the problem of monitored spontaneous emission, that is how the processus of emission is modified when the emitting system is being frequently monitored by an external observer, and which is closely related to the problem of measurementin quantum mechanics. Secondly, we consider the interaction between quantum emitters and optical resonances supported by nearby nanostructures. Finally, we study the remote interaction between quantum emitters and surfaces engraved with nanostructures which are designed and arranged in specific patterns, so-called metasurfaces.We present and deal with different formalisms to model such different situations, interfacing different fields of physics like quantum optics and nanophotonics. In each of these situations, we illustrate with realistic theoretical predictions how the spontaneous emission is modified: in the first case, how the lifetime of the quantum emitter is altered,in the second case how the frequency of the emitted photon is altered, and in the last situation how the environment may induce quantum coherence in the emitter. For each case, for provide with experimental proposals for future confirmations of these predictions, to bring a better understanding and control over these fundamental processes.
Emission quantique spontanée : modifications induites par l'environnement Le contrôle de l’émission spontanée d’émetteurs quantiques est d’une importance capitale dans le développement des futures technologies quantiques. La base de ces applications consiste en la manipulation d’atomes, de molécules ou d’atomes "artificiels", comme sources élémentaires de lumière, et en l’exploitation de la nature quantique de la lumière émise, constituée de photons uniques. En parallèle des développements récents des techniques de nanofabrication et des nanotechnologies, une compréhension théorique des mécanismes d’interaction fondamentaux entre émetteurs quantiques et leur environnement devient également capitale. Dans cette thèse, nous considérons l’émission spontanée dans trois paradigmes différents, traitant de la modification de ce processus due à l’environnement : le problème du "monitorage" de l’émission spontanée, l’interaction d’émetteurs quantiques avec des résonances optiques supportées par des structures nanométriques placées à proximité et l’interaction lointaine entre des émetteurs et des méta-surfaces. Nous présentons et utilisons différents formalismes pour modéliser ces différentes situations, qui interfacent différents domaines de la physique comme l’optique quantique et la nanophotonique. Nous illustrons chaque situation par des prédictions théoriques réalistes sur comment l’émission spontanée est modifiée. Pour chacune de ces prédictions, nous faisons des propositions expérimentales pour de futures confirmations de ces effets, afin d’améliorer notre compréhension et le contrôle de ces processus fondamentaux d’interaction lumière-matière
Control of spontaneously emitted light lies at the heart of quantum optics. It is essential for diverse applications ranging from lasers, light-emitting diodes, solar cells, and quantum information. According to the quantum electrodynamics theory, the spontaneous emission (SE) of an atom can be a weak-coupling radiation process due to the vacuum fluctuations of electromagnetic field. A suitable modification of inhomogeneous environment is required so that the vacuum fluctuations controlling the SE can be manipulated. Inhibiting unwanted SE and boosting desired ones will promote the novel optoelectronic designs tailored to industrial standard. The local density of states (LDOS) counts the number of electromagnetic modes where photons can be emitted at the specific location of the emitter, and can be interpreted as the density of vacuum fluctuations. The inhibition or enhancement of SE boils down to how the LDOS of photons is controlled. In this work, the SE of the excited atoms in 2D arbitrary inhomogeneous environment has been systematically studied. The LDOS determines the radiation dynamics of a point source (for 3D) or a line source (for 2D). In particular, it also determines the SE rate, and the LDOS is represented by the electric dyadic Green’s function. The numerical solution of the electric Green’s tensor has been accurately obtained by the finite-difference frequency-domain method with the proper approximations of the monopole and dipole sources. The SE of the atoms in the photonic crystal and plasmonic metal plates has been comprehensively and comparatively investigated. For both systems, the SE strongly depends on their respective dispersion relations and could be modified or tuned by the finite-structure or finite-size effects. This work is important for the SE engineering and optimized design of optoelectronic devices.
In this thesis three different approaches to control the quantum statistics in nanoscopic devices are investigated. In the first part of the thesis, mechanical oscillations in solid state devices are manipulated by an external laser to show bistabilities, coherent amplification, and enhanced damping. The dynamics is controlled by the frequency of the external laser. This study is performed in a semiclassical approximation, where expectation values of operators are factorized. These effects are used to show the similarities and differences between optomechanical systems and phonon cavities. In the regime of coherent amplification of phonons the theoretical description is extended to a fully quantum mechanical model. This reveals additional resonances due to collective processes that can be addressed via the frequency of the external laser. In the second part, a quantum light source is considered for manipulation of the emission statistics of a second quantum optical system serving as target. A Jaynes-Cummings system is used as a source that may be tuned from nonclassical to thermal emission via the pump strength. The target consists of a cavity with two emitters. The nature of the imprinted statistics is studied by higher order correlation functions. The resulting statistics deviates strongly from thermal, coherent or antibunched statistics. The third part considers coherent self feedback with time-delay, which is motivated by classical Pyragas control. The finite time delay is used as control parameter. The matrix product state evolution in the picture of the quantum stochastic Schrödinger equation is employed as a systematic way of dealing with quantum self-feedback. In this thesis, the approach is extended to include higher order terms in the time evolution operator. This is done systematically so that arbitrary order can be included enabling faster numerical evaluation. This extension of the matrix product state evolution method allows to investigate efficiently the emission statistics of a single mode cavity containing two emitters. It is shown that feedback can enhance antibunching in the light field while also counter-intuitively increasing the number of emitted photons at the same time. Expressing the time evolution operator as a sum of sparse matrices allows to include time dependent Hamiltonians in an efficient manner. Considering the pulsed excitation of a two level emitter, it is demonstrated that emission statistics may be tuned via feedback. This allows to switch between single photon emission and enhanced two photon emission.
We consider the spontaneous emission of a two-level quantum emitter, such as an atom or a quantum dot, in a modulated time-dependent environment with a photonic band gap. An example of such an environment is a dynamical photonic crystal or any other environment with a band gap whose properties are modulated in time, in the effective mass approximation. After introducing our model of a dynamical photonic crystal, we show that it allows new possibilities to control and tailor the physical features of the emitted radiation, specifically its frequency spectrum. In the weak-coupling limit and in an adiabatic case, we obtain the emitted spectrum and we show the appearance of two lateral peaks due to the presence of the modulated environment, separated from the central peak by the modulation frequency. We show that the two side peaks are not symmetric in height, and that their height ratio can be exploited to investigate the density of states of the environment. Our results show that a dynamical environment can give further possibilities to modify the spontaneous emission features, such as its spectrum and emission rate, with respect to a static one. Observability of the phenomena we obtain is discussed, as well as relevance for tailoring and engineering radiative processes.
From secure communication to blazingly fast computation, quantum technologies promise arevolutionary horizon with transformative potential across many areas. Single photon sources,essential to utilizing the special qualities of quantum mechanics, are at the core of many ofthese developments. Because single photons are discrete quanta of light, they provide quantum systems withunmatched precision and control, opening up new possibilities for security and sensitivity inapplications like quantum cryptography, quantum key distribution, and quantum sensing.These sources are fundamental components of quantum computing, in which complicatedcomputations can be completed tenfold more quickly than with traditional computers thanks toqubits contained in single photons. To fully realize the promise of quantum technologies andtheir widespread application, single-photon source development and optimization mustcontinue. In the field of quantum technologies, increasing the spontaneous emission rate of a singlephoton source is important for multiple reasons. First of all, a higher emission rate results in amore effective production of single photons, which is necessary for applications like quantumkey distribution (QKD) that demand a high photon flux. A greater emission rate in QKDincreases the overall security and efficiency of quantum communication systems byguaranteeing a quicker and more dependable interchange of quantum information. All things considered, increasing the spontaneous emission rate of a single photon source iscritical to realizing the full promise of quantum technologies, facilitating quicker and moreeffective quantum computing, sensing, integrated photonics, and communication, and openingthe door for revolutionary developments across a range of industries. This thesis explores the impact of electromagnetic scattering on solid-state single photonemitters' spontaneous emission behavior. By applying sophisticated computational approachesand conducting a comprehensive literature analysis, the study seeks to confirm and reproduceprevious findings, expanding and solidifying our knowledge of basic principles andcomputational strategies in this field. Two different scatterer geometries, a sphere, and a cylinder, activated by a point dipoleapproximation that is frequently employed in quantum optics simulations are the subject of thiswork. The main goal is to thoroughly evaluate and validate previously published results, not topresent new physics, but to guarantee the stability and dependability of computational modelsin the study of interactions between light and matter.
Developing reliable and efficient single-photon sources is crucial for advancing quantum technologies, relying on nonlinear frequency conversion or spontaneous emission from individual quantum emitters. While different types of single-photon sources excel in specific applications, none meet all criteria for an “ideal” source: exceptional brightness, high purity, and indistinguishability. To address this challenge, coupling single-photon emitters with designer nanostructures can significantly enhance emission performance, a pivotal area in quantum nanophotonics. This review summarizes recent advancements over the past decade in generating and manipulating single photons, emphasizing the pivotal role of nanostructure coupling. Single-photon emission systems—such as nonlinear crystals, solid-state defects, quantum dots, carbon nanotubes, and two-dimensional materials—are categorized quantitatively based on their ability to achieve high purity, indistinguishability, and brightness, presented in a three-dimensional technology map. Furthermore, nanostructure engineering is showcased for manipulating properties such as emission direction, polarization, chirality, and entanglement of single photons. By elucidating these critical aspects, this review aims to advance understanding of how advancements in nanostructured environments promise to shape the future of single-photon generation and manipulation within quantum nanophotonics.