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  • About
  • The Global ETD Search service is a free service for researchers to find electronic theses and dissertations. This service is provided by the Networked Digital Library of Theses and Dissertations.
    Our metadata is collected from universities around the world. If you manage a university/consortium/country archive and want to be added, details can be found on the NDLTD website.
41

[en] LEVITATED OPTOMECHANICS: FROM GAUSSIAN TWEEZERS TO STRUCTURED MODES / [pt] OPTOMECÂNICA LEVITADA: DE PINÇAS ÓPTICAS GAUSSIANAS À MODOS ESTRUTURADOS

BRENO DE MOURA CALDERONI 05 December 2023 (has links)
[pt] As pinças ópticas tornaram-se uma ferramenta importante na pesquisa multidisciplinar, permitindo a manipulação e estudo de partículas em micro e nanoescala. Aqui, descrevemos o desenvolvimento de dois experimentos de pinça óptica no cerne da optomecânica levitada: uma pinça óptica a vácuo Gaussiana e uma pinça óptica a vácuo com luz estruturada. No experimento Gaussiano, descrevemos em detalhes sua construção e seu uso para testar características de movimento estocástico sujeito a forças efetivas não-lineares geradas através de feedback elétrico. Em seguida, passamos para a configuração de luz estruturada. Utilizando um Modulador Espacial de Luz, desenvolvemos uma pinça óptica a vácuo com a capacidade de gerar potenciais ópticos arbitrários, incluindo não-linearidades e armadilhas para múltiplas partículas. Os experimentos desenvolvidos neste trabalho abrem caminho para novos métodos de controle de movimento de partículas, forças e interações, expandindo ainda mais a caixa de ferramentas da optomecânica levitada. / [en] Optical tweezers have become an important tool in multidisciplinary research, allowing for the manipulation and study of micro- and nano-scale particles. Here, we describe the development of two optical tweezer experiments at the heart of levitated optomechanics: a Gaussian and a structured light vacuum optical tweezer. In the Gaussian experiment, we describe in detail its construction and its use to test features of stochastic motion subject to nonlinear effective forces generated via electric feedback. Next, we move to the structured light setup. Using a Spatial Light Modulator, we develop a vacuum optical tweezer with the capability of engineering arbitrary optical landscapes, including non-linearities and multi-particle traps. The experiments developed in this work pave the way to novel methods for controlling particle motion, forces and interactions, further extending the levitated optomechanics toolbox.
42

Optomechanics in hybrid fully-integrated two-dimensional photonic crystal resonators / Optomécanique dans les résonateurs intégrés et hybrides à cristal photonique bi-dimensionel

Tsvirkun, Viktor 15 September 2015 (has links)
Les systèmes optomécaniques, dans lesquels les vibrations d'un résonateur mécanique sont couplées à un rayonnement électromagnétique, ont permis l'examen de multiples nouveaux effets physiques. Afin d'exploiter pleinement ces phénomènes dans des circuits réalistes et d'obtenir différentes fonctionnalités sur une seule puce, l'intégration des résonateurs optomécaniques est obligatoire. Ici nous proposons une nouvelle approche pour la réalisation de systèmes intégrés et hétérogènes comportant des cavités à cristaux photoniques bidimensionnels au-dessus de guides d'ondes en silicium-sur-isolant. La réponse optomécanique de ces dispositifs est étudiée et atteste d'un couplage optomécanique impliquant à la fois les mécanismes dispersifs et dissipatifs. En contrôlant le couplage optique entre le guide d'onde intégré et le cristal photonique, nous avons pu varier et comprendre la contribution relative de ces couplages. Cette plateforme évolutive permet un contrôle sans précédent sur les mécanismes de couplage optomécanique, avec un avantage potentiel dans des expériences de refroidissement et pour le développement de circuits optomécaniques multi-éléments pour des applications tels que le traitement du signal par effets optomécaniques. / Optomechanical systems, in which the vibrations of a mechanical resonator are coupled to an electromagnetic radiation, have permitted the investigation of a wealth of novel physical effects. To fully exploit these phenomena in realistic circuits and to achieve different functionalities on a single chip, the integration of optomechanical resonators is mandatory. Here, we propose a novel approach to heterogeneously integrated arrays of two-dimensional photonic crystal defect cavities on top of silicon-on-insulator waveguides. The optomechanical response of these devices is investigated and evidences an optomechanical coupling involving both dispersive and dissipative mechanisms. By controlling optical coupling between the waveguide and the photonic crystal, we were able to vary and understand the relative strength of these couplings. This scalable platform allows for unprecedented control on the optomechanical coupling mechanisms, with a potential benefit in cooling experiments, and for the development of multi-element optomechanical circuits in the frame of optomechanically-driven signal-processing applications.
43

Dynamics of coupled micro-oscillators = Dinâmica de micro-osciladores acoplados / Dinâmica de micro-osciladores acoplados

Luiz, Gustavo de Oliveira, 1988- 05 September 2017 (has links)
Orientador: Gustavo Silva Wiederhecker / Tese (doutorado) - Universidade Estadual de Campinas, Instituto de Física Gleb Wataghin / Made available in DSpace on 2018-09-02T10:33:51Z (GMT). No. of bitstreams: 1 Luiz_GustavoDeOliveira_D.pdf: 5507367 bytes, checksum: 506db63a5a93a33d67a84dbb1f7b33ce (MD5) Previous issue date: 2017 / Resumo: Nas últimas décadas a optomecânica de microcavidades chamou a atenção de cientistas e engenheiros, que encontraram na interação entre luz e ondas acústicas aplicações que variam de sensores de massa com resolução atômica, até a preparação de estados quânticos de osciladores harmônicos mesoscópicos, passando por simuladores quânticos, filtros ópticos controláveis opticamente, criação de estados topológicos para luz e fônons, apenas citando alguns exemplos. Apesar das diversas demonstrações de vários dispositivos, sendo discos e cristais fotônicos os formatos mais comuns, há ainda um grande esforço no sentido de aperfeiçoá-los reduzindo perdas ópticas e mecânicas e suprimindo outros fenômenos de óptica não-linear, como absorção de dois fótons, que podem impedir seu funcionamento apropriado. Como ressonadores ópticos e mecânicos tipicamente compartilham a mesma estrutura nestes dispositivos, seus projetos são acoplados, dificultando o aprimoramento independente de cada um. Nesta tese usamos dispositivos optomecânicos de campo próximo, cuja interação entre modos mecânicos e ópticos se dá através do campo evanescente do último, para desacoplar o projeto mecânico do óptico, o que nos permitiu estudar a otimização do ressonador mecânico sem qualquer efeito sobre a cavidade óptica. Com um ressonador mecânico de silício composto por dois osciladores acoplados, pudemos demonstrar que o correto equilíbrio das massas de cada oscilador é um método simples e eficiente para suprimir as perdas devido à radiação de energia mecânica para o substrato na escala de frequência de 50 MHz. Este processo permitiu que fatores de qualidade limitados por perdas relacionadas ao material e à superfície, da ordem de 10 mil à temperatura ambiente e de 50 mil a aproximadamente 25 K, fossem obtidos. Também observamos nestes dispositivos o fenômeno de auto-pulsação, que apresenta uma dinâmica própria tão interessante quanto a optomecânica, apesar de impedir a operação apropriada dos osciladores optomecânicos. Estudamos este fenômeno separadamente e demonstramos que estes pulsos, ocorrendo em duas cavidades ópticas acopladas por seus campos evanescentes, podem sincronizar com o campo óptico sendo o único intermediador. Ambas as demonstrações têm implicações importantes, abrindo caminho para o desenvolvimento de novas plataformas de interesse tanto científico quanto tecnológico, como estruturas para o estudo de estados topológicos para a luz e para ondas acústicas e geradores de sinal de radio-frequência de alto desempenho. Além disso, os dispositivos foram todos produzidos em uma fábrica comercial, o que também demonstra que sua fabricação está pronta para ser escalada para produção em massa / Abstract: Cavity optomechanics in the micro-scale has attracted the attention of scientists and engineers on the last few decades, who encountered applications to the interaction of light and acoustic waves ranging from atomic resolution mass sensors to the preparation of quantum states of mesoscopic harmonic oscillators, passing by quantum simulators, optically controllable optical filters, formation of topological states for both photons and phonons, just to mention a few examples. Although various devices have been demonstrated, with disks and photonics crystals being the most common designs, there is still a large effort to improve them by reducing optical and mechanical losses and suppressing other non-linear phenomena, such as two-photon absorption, that may affect their proper operation. Because optical and mechanical resonators typically share the same structure in these devices, their designs are coupled, which complicates the independent improvement of each one. In this thesis we used near-field optomechanical devices, whose mechanical modes interact with the optical through the latter¿s evanescent field, to decouple the mechanical design from the optical, what allowed us to focus all attention on the mechanical resonator. With a silicon mechanical resonator composed of two coupled oscillators, we could demonstrate that the correct balance of the masses of the oscillators is an efficient and simple way to suppress losses due to energy radiation to the substrate at the 50 MHz frequency range. This strategy led to material and surface limited quality factors close to 10k at room temperature and 50k at approximately 25 K. We also observed the phenomenon of self-pulsing in these devices, which presents dynamics as interesting as the optomechanical interactions do, in spite of being a problem for the proper operation of the optomechanical devices. We studied this phenomenon separately and demonstrated that these pulses, when occurring in two evanescently coupled optical cavities, may synchronize with the optical field being the sole intermediary. These two demonstrations have important implications, paving the way for new platforms of scientific and technological interest, such as structures for the study of topological states for both light and acoustic weaves as well as high efficiency radio-frequency signal generators. Moreover, these devices were all fabricated in a commercial foundry, which also demonstrates that the fabrication of such technology is ready to be scaled up to mass production / Doutorado / Física / Doutor em Ciências / 153044/2013-6 / CNPQ
44

Optical trapping and manipulation of chiral microspheres controlled by the photon helicity / Le piégeage et la manipulation optique de microsphères chiraux contrôlées par l'hélicité du photon

Tkachenko, Georgiy 04 September 2014 (has links)
Exploiter le degré de liberté angulaire de la lumière pour contrôler les forces optiques ouvre une nouvelle voie pour la manipulation optique de systèmes matériels. Dans ce contexte, notre travail porte sur l’interaction lumière-matière en présence de chiralité, qu’elle soit matérielle ou ondulatoire. Expérimentalement, nous avons utilisé des gouttes de cristaux liquides cholestériques interagissant avec un ou plusieurs champs lumineux polarisés circulairement et nous avons apporté une description quantitative de nos observations. Notre principal résultat correspond à la démonstration que la pression de radiation optique peut être contrôlée par l’hélicité du photon. Ce phénomène est ensuite utilisé, d’une part pour faire une démonstration de principe du tri de la chiralité matérielle via une approche optofluidique et d’autre part pour réaliser un piège optique tridimensionnel sensible à la chiralité de l’objet piégé. / Exploiting the angular momentum degree of freedom of light to control the mechanical effects that result from light-matter exchanges of linear momentum is an intriguing challenge that may open new routes towards enhanced optical manipulation of material systems. In this context, our work addresses the interplay between the chirality of matter and the chirality of optical fields. Experimentally, this is done by using cholesteric liquid crystal droplets interacting with circularly polarized light and we provide with theoretical developments to quantitatively support our observations. Our main result is the demonstration of optical radiation force controlled by the photon helicity. This phenomenon is then used to demonstrate the optofluidic sorting of material chirality and the helicity-dependent three-dimensional optical trapping of chiral liquid crystal microspheres.
45

Novel mechanical alignment and component fabrication for wavelength-selective optical switches

Wilkinson, Peter John January 2018 (has links)
No description available.
46

Corrélations optomécaniques : étude du bruit quantique de pression de radiation / Optomechanicals correlations : a study of quantum radiation pressure noise

Karassouloff, Thibaut 15 February 2016 (has links)
L'étude du couplage optomécanique, soit l'interaction entre un résonateur mécanique et la lumière venant mesurer sa position est née avec les recherches visant à détecter les ondes gravitationnelles. Ce couplage limite la sensibilité des mesures interférométriques nécessaires à leur observation.Cette limite est d'origine quantique : à tout appareil de mesure est associé un bruit (le bruit de phase des lasers). De plus, en vertu des inégalités de Heisenberg toute mesure d'un système le perturbe. On parle d'action en retour (liée aux bruits d'intensité des lasers). La lumière étant un objet quantique, il n'est pas possible de réduire simultanément les fluctuations de phase et d'intensité. La sensibilité d'une mesure interférométrique a donc pour minimum la limite quantique standard. Cette limite n'a jamais été observée à température ambiante.Nous décrivons dans ce manuscrit les effets de la pression de radiation sur un résonateur mécanique plan-convexe utilisé comme miroir de fond d'une cavité Fabry-Perot de grande finesse. A température ambiante, le bruit de pression de radiation est largement masqué par le bruit thermique. Ceci conduit à la mise en place d'une expérience pompe-sonde et à mesurer les corrélations entre ces deux faisceaux. En outre, cette expérience est très sensible au désaccord du laser avec la cavité. Nous utilisons une modulation de la position du résonateur afin de s'asservir le mieux possible à la cavité. Compte tenu du faible niveau de corrélations à mesurer, nous caractérisons les limites qu'impose le bruit classique des lasers. Nous présentons également le développement de nouveaux résonateurs optomecaniques en quartz. / Optomechanical coupling, that is the interaction between mechanicals modes of a resonator and light sensing its position, is a field of study that was born with the gravitational waves quest. This coupling poses limits to the sensitivity of interferometric measurements needed to detect them.This limit is of quantum origin. Indeed, every measurement apparatus has its own noise, we call it measurement noise. Moreover according to the Heisenberg inequalities, every measurement of a system disturbs it in some way. We call it back-action. In optomechanics, the measurement noise is the laser phase-noise while back-action stems from intensity-noise. Both of them have quantum origin and cannot be made arbitrary small. The sensitivity of classic interferometric measurement is then the result of a tradeoff between those two noises and cannot be lower than what is called the standard quantum limit. This limit has never been observed at room-temperature in a table-top experiment. The effects of radiation-pressure on a plano-convex resonator embedded in a high-finesse Fabry-Perot cavity are described in this work. At room-temperature the quantum radiation pressure noise is overwhelmed by thermal noise. This lead to use a pump-probe experiment where two laser beams are send in the cavity and measure their correlations. This experiment is extremely sensitive to the cavity- laser detuning. We propose to modulate the mirror position and use this precisely lock the lasers to the cavity. The correlations we aim to measure are extremely low so we characterize the limits put by classical noise of the laser system on the experiment. We also present the development of new quartz resonators.
47

Integrated nano-optomechanics in photonic crystal / Nano-optomécanique intégrée dans les cristaux photoniques

Zhu, Rui 16 September 2019 (has links)
Les oscillateurs de référence de haute pureté sont actuellement utilisés dans un grand nombre d’applications allant du contrôle de fréquence aux horloges pour les radars, les GPS et l’espace... Les tendances actuelles dans ce domaine requièrent des architectures miniaturisées avec la génération de signaux directement dans la gamme de fréquences d’intérêt, autour de quelques GHz. Récemment, de nouvelles architectures basées sur les principes de l’optomécanique ont vu le jour dans ce but. De tels oscillateurs optomécanique génèrent non seulement des signaux hyperfréquences directement dans la gamme de fréquences GHz avec éventuellement un faible bruit de phase, mais permettent également un degré élevé d'intégration sur puce. Ce travail de thèse s'inscrit dans cette démarche. L’oscillateur optomécanique étudié se compose de cavités à cristaux photoniques suspendues couplées à des guides d’ondes silicium sur isolant intégrés dans une architecture tridimensionnelle. Ces cavités abritent des modes optiques fortement confinés autour de 1550nm et des modes mécaniques dans le GHz. De plus, ces structures présentent un recouvrement spatial entre phonon et photon élevé. Il en résulte un couplage optomécanique amélioré. Cette force de couplage optomécanique améliorée est ici sondée optiquement sur des structures à cristaux photoniques de conception optimisée. Ces cavités sont réalisées dans des matériaux semi-conducteurs III-V dont la piézoélectricité nous permet d'intégrer des outils supplémentaires pour sonder et contrôler les vibrations mécaniques via un pilotage capacitif, piézoélectrique ou acoustique. Ce contrôle total des modes mécaniques et de l’interaction optomécanique ouvre la voie à la mise en œuvre de circuits intégrés pour le verrouillage par injection et des boucles de rétroaction permettant de réduire le bruit de phase de l’oscillateur. / High purity reference oscillators are currently used in a wide variety of frequency control and timing applications including radar, GPS, space... Current trends in such fields call for miniaturized architectures with direct signal generation in the frequency range of interest, around few GHz. Recently, novel optomechanically-enhanced architectures have emerged with this purpose. Such optomechanically-driven oscillators not only generate microwave signals directly in the GHz frequency range with possibly low phase noise but also are amenable to a high degree of integration on single chip settings. This PhD work falls within this scope. The optomechanically-driven oscillator under study consists of suspended photonic crystal cavities coupled to integrated silicon-on-insulator waveguides in a three-dimensional architecture. These cavities harbor highly-confined optical modes around 1,55 µm and mechanical modes in the GHz and most importantly, feature a high phonon-photon spatial overlap, all resulting in an enhanced optomechanical coupling. This enhanced optomechanical coupling strength is here probed optically on photonic crystal structures with optimized design. These cavities are hosted in III-V semiconductor materials whose piezoelectricity enable us to integrate additional tools for probing and controlling mechanical vibrations via capacitive, piezoelectric or acoustic driving. This full control over the mechanical modes and optomechanical interaction, paves the way towards the implementation of integrated injection locking circuits of feedback loops for reducing the phase noise of the oscillator.
48

Engineering Low-dimensional Materials for Quantum Photonic and Plasmonic Applications

Xiaohui Xu (5930936) 29 November 2022 (has links)
<p>  </p> <p>Low-dimensional materials (LDMs) are substances that have at least one dimension with thicknesses in the nanometer (nm) scale. They have attracted tremendous research interests in many fields due to their unique properties that are absent in bulk materials. For instance, in quantum optics/photonics, LDMs offer unique advantages for effective light extraction and coupling with photonic/plasmonic structures; in chemistry, the large surface-to-volume ratio of LDMs enables more efficient chemical processes that are useful for numerous applications. In this thesis, several types of LDMs are studied and engineered with the goal to improve their impact in plasmonic and quantum photonic applications. Two-dimensional hexagonal boron nitride (hBN) is receiving increasing attention in quantum optics/photonics as it hosts various types of quantum emitters that are promising for quantum computing, quantum sensing, etc. In the first study, we explore and demonstrate a radiation- and lithography-free route to deterministically create single-photon emitters (SPEs) in hBN by nanoindentation with an atomic force microscopy. The method applies to hBN on flat, chip-compatible silicon-based substrates, and an SPE yield of up to 36% is achieved. This marks an important step toward the deterministic creation and integration of hBN SPEs with photonic and plasmonic devices. In the second study, the recently discovered negatively charged boron vacancy (V<sub>B</sub><sup>-</sup>) spin defect in hBN is investigated. V<sub>B</sub><sup>-</sup> defects are optically active with spin properties suitable for sensing at extreme scales. To resolve the low brightness issue of V<sub>B</sub><sup>-</sup> defects, we couple them with an optimized nano-patch antenna structure and observe emission intensity enhancement that is nearly an order of magnitude higher than previous reports. Our achievements pave the way for the practical integration of V<sub>B</sub><sup>-</sup> defects for quantum sensing. Zero-dimensional nanodiamond is another important host material for solid-state SPEs. Specifically, the negatively charged silicon vacancy (SiV) center in nanodiamonds exhibits optical properties that are suitable for quantum information technologies. In the third study, we, for the first time, demonstrate the creation of single SiV centers in nanodiamonds with an average size of ~20 nm using ion implantation. Stable single-photon emission is confirmed at room temperature, with zero-phonon line (ZPL) wavelengths in the range of 730 – 803 nm. This confirms the feasibility of single-photon emitter creation in nanodiamonds with ion implantation, and offers new opportunities to integrate diamond color centers for hybrid quantum photonic systems. Finally, we have also explored using metal-semiconductor hybrid nanoparticles for plasmon-enhanced photocatalysis. A core-shell nanoparticle structure is synthesized, with titanium nitride (TiN) and titanium dioxide (TiO<sub>2</sub>) being the core and shell material respectively. It is observed that such core-shell nanoparticles effectively catalyze the generation of single oxygen molecules under 700-nm laser excitation. The main mechanism behind is the hot electron injection from the TiN core to the TiO<sub>2</sub> shell. Considering the chemical inertness and low cost of TiN, TiN@TiO<sub>2</sub> NPs hold great potential as plasmonic photosensitizers for photodynamic therapy and other photocatalytic applications at red-to-near-infrared (NIR) wavelengths.</p>
49

Microring resonators on a suspended membrane circuit for atom-light interactions

Tzu Han Chang (13168677) 28 July 2022 (has links)
<p>Developing a hybrid platform that combines nanophotonic circuits and atomic physic may provide new chip-scale devices for quantum application or versatile tools for exploring photon-mediated long-range quantum systems. However, this challenging project demands the excellent integration of cold atom trapping and manipulation technology with cutting-edge nanophotonics circuit design and fabrication. In this thesis project, we aim to develop a novel suspended membrane platform that serves as a quantum interface between laser-cooled, trapped atoms in an ultrahigh vacuum and the photons guided in the nanophotonic circuits based on high-quality silicon nitride microring resonators fabricated on a transparent membrane substrate. </p> <p><br></p> <p>The proposed platform meets the stringent performance requirements imposed by nanofabrication and optical physics in an ultra-high vacuum. These include a high yield rate for mm-scale suspended dielectric photonic devices, minimization of the surface roughness to achieve ultrahigh-optical quality, complete control of optical loss/in-coupling rate to achieve critical photon coupling to a microring resonator, and high-efficiency waveguide optical input/output coupler in an ultrahigh vacuum environment. This platform is compatible with laser-cooled and trapped cold atoms. The experimental demonstration of trapping and imaging single atoms on a photonic resonator circuit using optical tweezers has been demonstrated. Our circuit design can potentially reach a record-high cooperativity parameter C$>$500 for single atom-photon coupling, which is of high importance in realizing a coherent quantum nonlinear optical platform and holds great promise as an on-chip atom-cavity QED platform.</p>
50

[pt] COLOCANDO INTERAÇÕES OPTOMECÂNICAS EM USO: DO APRISIONAMENTO DE ORGANISMOS AO EMARANHAMENTO DE NANOESFERAS / [en] HARNESSING OPTOMECHANICAL INTERACTIONS: FROM TRAPPING ORGANISMS TO ENTANGLING NANOSPHERES

IGOR BRANDAO CAVALCANTI MOREIRA 28 June 2021 (has links)
[pt] Nas últimas décadas, interações entre luz e matéria provaram ser uma ferramenta versátil para medir e controlar sistemas mecânicos, encontrando aplicações desde detecção de forças até resfriamento ao estado fundamental de nanoesferas. Nesta dissertação, nós apresentamos algumas das ferramentas teóricas necessárias para descrever interferômetros, pinças ópticas e cavidades ópticas, constituintes fundamentais da caixa de ferramentas optomecânica. No regime clássico, estudamos o campo eletromagnético circulante em interferômetros lineares e mostramos como encontrar o campo resultante transmitido, apresentando exemplos de cavidades ópticas com um número arbitrário de elementos dispersivos. Nós também estudamos as forças de pressão de radiação que feixes ópticos podem imprimir em partículas dielétricas e mostramos como o aprisionamento óptico 3D é possível em focos claros e escuros. A potencial aplicação para captura de organismos vivos é estudada. No regime quântico, nós estudamos como o campo ressonante de cavidades ópticas pode interagir de forma dispersiva com diferentes sistemas mecânicos, dando origem a uma dinâmica quântica fechada emaranhante. Ao considerar uma nuvem ultra resfriada de átomos interagindo com dois modos ópticos, mostramos o surgimento de emaranhamento óptico que evidencia a natureza não-clássica do conjunto atômico macroscópico. A viabilidade experimental deste experimento com tecnologia atual é estudada. Além disso, nós investigamos o cenário em que uma pinça óptica posiciona uma partícula levitada dentro de uma cavidade óptica de forma que os fótons da pinça espalhados pela partícula possam sobreviver dentro da cavidade. Já foi demonstrado que esta interação, chamada de espalhamento coerente, pode resfriar nanopartículas até números de fônons menores do que um, atingindo profundamente o regime quântico. Nós mostramos que esta interação também pode gerar emaranhamento mecânico entre muitas partículas levitadas, mesmo em um ambiente a temperatura de 300K. Um resumo sobre sistemas de variáveis contínuas e a caixa de ferramentas numérica customizada usada ao longo deste trabalho são apresentados. / [en] Over the last decades, light-matter interactions have proven to be a versatile tool to measure and control mechanical systems, finding application from force sensing to ground state cooling of nanospheres. In this dissertation, we present some of the theoretical tools that describe interferometers, optical tweezers and optical cavities, fundamental constituents of the optomechanical toolbox. In the classical regime, we study the circulating electromagnetic field within linear interferometers and show how one can find the resulting transmitted field, presenting examples of optical cavities with an arbitrary number of dispersive elements. Moreover, we also study the radiation-pressure forces that optical beams can imprint on dielectric particles and show how 3D optical trapping is possible in both bright and dark focuses. Potential application to trapping of living organisms is studied. In the quantum regime, we study how the resonant field of optical cavities can dispersivelly interact with different mechanical systems, giving rise to an entangling closed quantum dynamics. When considering an ultracold cloud of atoms interacting with two optical modes, we show the emergence of optical entanglement which evidences the nonclassical nature of the macroscopic atomic ensemble. The experimental feasibility of this experiment with current technology is studied. Furthermore, we investigate the scenario where a finely tuned optical tweezer places a trapped particle inside an optical cavity such that the tweezer s scattered photons can survive inside the cavity. This so-called coherent scattering interaction has been shown to cool nanoparticles to phonon numbers lower than one deep into the quantum regime. We show that it also can generate mechanical entanglement between many levitated particles even in a room temperature environment. An overview on continuous variable systems and the custom numerical toolbox used throughout this work are presented.

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