In this thesis we investigate, experimentally and theoretically, many classical and quantum coherence effects of the light. Initially we investigate the interference patterns formation by nonlocal double slit using classical light sources and comparing the results with those using a twin photos light source generated by Spontaneous Parametric Down Conversion (SPDC). We demonstrate that the classical correlation in wave vectors, in beam splitter outs, is a sufficient condition to the interference pattern to exist. In this work we also investigate experimentally the influence of polarized nonlocal double slit and local double slit. Here is present a alternative Fano based interpretation to explain the reason why the polarization of correlated beam has not influence on pattern fringes. We presented also an investigation about the light source parameters influence on the ghost interference interference. We demonstrate experimentally the relationship between, the coherence and source size, and fringes visibility. We extended the concept of complementarity related to coherence and correlation using the changes of the reference beam coherence and observing it’s influence on the interference patterns of the local double slit. In near-field limit, we investigate the existence of conditionality in the wave vector limited by the aperture of objects placed on the classically correlated beams paths. We demonstrate that is possible to find conditionality between the light emitted through the slits apertures. All these experiments performed using the Brown Twiss intensity interferometer (HBT) served to investigate the difference between the transversal effects with quantum and classical incoherent light. Finally, we demonstrate the first experimental measurement demonstrating the polarization changes on the partially coherent light propagation induced by the coherence source changes. This phenomenom was investigated for the free space propagation and for a nonlinear medium modeled by a Kerr medium. / Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / Nesta tese investigamos, experimentalmente e teoricamente, diversos efeitos clássicos e quânticos da coerência da luz. Inicialmente investigamos a formação do padrão de interferência por uma fenda dupla não local utilizando fontes clássicas de luz e comparando com os resultados obtidos usando fótons gêmeos gerados na Conversão Paramétrica Espontânea Descendente (CPED). Nós demonstramos que uma correlação clássica nos vetores de onda, nas saídas de um divisor de feixes, é uma condição suficiente para a existência do padrão de interferência. Neste trabalho nós também investigamos experimentalmente a influência da polarização na fenda não local e na fenda dupla local. Apresentamos uma interpretação alternativa, baseada na interpretação de Fano para o experimento de Hanbury-Brown e Twiss, explicando porque as polarizações dos feixes não influenciam na visibilidade das franjas de interferência. Ainda apresentamos, uma investigação sobre a influência do grau de coerência e o tamanho da fonte sobre as franjas de interferência fantasma. Demonstramos experimentalmente a relação entre coerência e tamanho da fonte na visibilidade das franjas. Estendemos o conceito de complementaridade relacionando coerência e correlação, mostrando que a mudança do grau de coerência do feixe de referência influencia nos padrões de interferência da fenda local. No limite de campo próximo investigamos a existência da condicionalidade nos vetores de onda limitados pela abertura dos objetos colocados no caminho dos feixes de luz classicamente correlacionados. Demonstramos a possibilidade de encontrar a condicionalidade entre a luz emitida pelas aberturas das fendas.Todos os experimentos realizados utilizando o interferômetro de intensidades de Browne Twiss (HBT) serviram para investigar a diferença entre os efeitos transversais com luz clássica e luz quântica. Finalmente, apresentamos a primeira medida experimental demonstrando a mudança da polarização na propagação da luz parcialmente coerente induzida por meio da mudança da coerência da fonte. Este fenômeno foi investigado para a propagação no ar livre e em um meio não linear aproximado por tipo Kerr.

Investigamos as propriedades quânticas conjuntas dos três feixes intensos de luz produzidos por um oscilador paramétrico ótico (OPO) operando acima do limiar, denominados bombeio, sinal e complementar. Analisamos experimentalmente as flutuações quânticas de intensidade e fase destes feixes, e como se correlacionam. Observamos pela primeira vez a presença de correlações quânticas entre as fases dos três campos. O ruído observado na soma das fases de sinal e complementar, Vq12=1,28(3)>1, passa a apresentar compressão de ruído após ser corrigido pelas flutuações de fase do feixe de bombeio, resultando em (Vq12)\' =0,84(3)<1. Para potências mais altas de bombeio, observamos também a existência de correlações quânticas diretamente entre as amplitudes do feixe de bombeio e um dos feixes convertidos (sinal ou complementar); a máxima compressão de ruído medida correspondeu a Vp02=0,86(3)<1. Estendemos nosso estudo às propriedades de emaranhamento deste sistema tripartite, para tanto utilizando dois critérios distintos. Nossos dados apontam a separabilidade do sistema no regime de operação estudado, em contradição com o modelo teórico. Utilizando o critério de emaranhamento de P. van Loock e A. Furusawa, obtivemos os seguintes valores para as combinação de variâncias que comprovariam a inseparabilidade caso fossem menores que 2: V0=1,29(5)<2, V1=2,04(11)>2 e V2=2,09(7)>2. Com relação ao segundo critério de separabilidade, positividade sob transposição parcial, obtivemos os seguintes autovalores simpléticos a partir da matriz de covariância medida: A0=0,94(8) e A1=0,36(6)<1, em que o emaranhamento seria evidenciado caso A0<1 e A1<1. Esta discordância com a previsão teórica está relacionada a um ruído clássico espúrio observado no sistema, cujas características são levantadas nesta tese. Nossa análise indica os rumos a serem seguidos para a observação do emaranhamento. Mostramos teoricamente que o emaranhamento tripartite previsto pode ser utilizado como recurso para a criação de um sistema emaranhado multipartite. Para tanto, diversos OPOs são utilizados em uma configuração em cadeia, na qual o feixe de bombeio refletido pelo primeiro OPO serve de bombeio para o segundo e assim sucessivamente. Este esquema permite a geração de uma rede quântica multicolor escalável. Por fim, descrevemos a construção de um laser de Ti:safira que representa o primeiro passo na integração entre luz não-clássica e física atômica a ser investigada em nosso laboratório. Este laser pode ser utilizado, ao mesmo tempo, como bombeio do OPO e de uma nuvem de átomos. O emaranhamento tripartite gerado no OPO estabeleceria a conexão destes últimos com os feixes convertidos, cujos comprimentos de onda possibilitariam a transmissão direta destes feixes de luz através de fibras óticas comerciais de telecomunicação. / We have investigated the collective quantum properties of the three bright light beams produced by an optical parametric oscillator (OPO) operating above threshold, named pump, signal, and idler. We have analyzed experimentally their intensity and phase quantum fluctuations, and how they are correlated. For the first time, we have observed the existence of phase quantum correlations among the three beams. The measured phase-sum noise between signal and idler, Vq12=1,28(3)>1, presents squeezing when corrected by the phase fluctuations of the pump beam, resulting in (Vq12)\'=0,84(3)<1. For higher pump powers, we have observed the existence of amplitude quantum correlations directly between pump and one of the downconverted beams (signal or idler); the maximum measured squeezing level corresponded to the noise Vp02=0,86(3)<1. Our investigations included the entanglement properties of this tripartite system, tested by two different criteria. Our data points to the separability of the system in the accessible regime of operation, in contradiction with the theoretical predictions. Applying the criterion by P. van Loock and A. Furusawa, we have obtained the following values of combinations of variances which would attest the inseparability in case values smaller than 2 would be obtained: V0=1,29(5)<2, V1=2,04(11)>2, and V2=2,09(7)>2. For the second criterion, the positivity under partial transpose, we have obtained the following symplectic eigenvalues calculated from the measured covariance matrix: A0=0,94(8) and A1=0,36(6)<1, where entanglement is attested in case A0<1,and A1<1. This discrepancy with the theoretical prediction is caused by a classical spurious noise observed in the system, which characteristics are investigated in this thesis. Our analysis indicates the path to successfully observe tripartite entanglement. We show theoretically that the predicted tripartite entanglement can be employed as a resource for the construction of a multipartite entangled system. This is accomplished by pumping several OPO\'s with the same optical field, such that the pump beam reflected by the first OPO is utilized to pump a second one, and so on. This scheme allows the generation of a multicolor scalable quantum network. Finally, we describe the construction of a Ti:sapphire laser which represents the first step in the integration between non-classical light and atomic physics to be investigated in our laboratory. This laser could be employed at the same time to pump an OPO and to interact with a cloud of atoms. The tripartite entanglement produced by the OPO could then entangle the atoms to the downconverted beams, which wavelength would allow the transmission of these beams through commercial optical fibers for telecom.

Investigamos as propriedades quânticas conjuntas dos três feixes intensos de luz produzidos por um oscilador paramétrico ótico (OPO) operando acima do limiar, denominados bombeio, sinal e complementar. Analisamos experimentalmente as flutuações quânticas de intensidade e fase destes feixes, e como se correlacionam. Observamos pela primeira vez a presença de correlações quânticas entre as fases dos três campos. O ruído observado na soma das fases de sinal e complementar, Vq12=1,28(3)>1, passa a apresentar compressão de ruído após ser corrigido pelas flutuações de fase do feixe de bombeio, resultando em (Vq12)\' =0,84(3)<1. Para potências mais altas de bombeio, observamos também a existência de correlações quânticas diretamente entre as amplitudes do feixe de bombeio e um dos feixes convertidos (sinal ou complementar); a máxima compressão de ruído medida correspondeu a Vp02=0,86(3)<1. Estendemos nosso estudo às propriedades de emaranhamento deste sistema tripartite, para tanto utilizando dois critérios distintos. Nossos dados apontam a separabilidade do sistema no regime de operação estudado, em contradição com o modelo teórico. Utilizando o critério de emaranhamento de P. van Loock e A. Furusawa, obtivemos os seguintes valores para as combinação de variâncias que comprovariam a inseparabilidade caso fossem menores que 2: V0=1,29(5)<2, V1=2,04(11)>2 e V2=2,09(7)>2. Com relação ao segundo critério de separabilidade, positividade sob transposição parcial, obtivemos os seguintes autovalores simpléticos a partir da matriz de covariância medida: A0=0,94(8) e A1=0,36(6)<1, em que o emaranhamento seria evidenciado caso A0<1 e A1<1. Esta discordância com a previsão teórica está relacionada a um ruído clássico espúrio observado no sistema, cujas características são levantadas nesta tese. Nossa análise indica os rumos a serem seguidos para a observação do emaranhamento. Mostramos teoricamente que o emaranhamento tripartite previsto pode ser utilizado como recurso para a criação de um sistema emaranhado multipartite. Para tanto, diversos OPOs são utilizados em uma configuração em cadeia, na qual o feixe de bombeio refletido pelo primeiro OPO serve de bombeio para o segundo e assim sucessivamente. Este esquema permite a geração de uma rede quântica multicolor escalável. Por fim, descrevemos a construção de um laser de Ti:safira que representa o primeiro passo na integração entre luz não-clássica e física atômica a ser investigada em nosso laboratório. Este laser pode ser utilizado, ao mesmo tempo, como bombeio do OPO e de uma nuvem de átomos. O emaranhamento tripartite gerado no OPO estabeleceria a conexão destes últimos com os feixes convertidos, cujos comprimentos de onda possibilitariam a transmissão direta destes feixes de luz através de fibras óticas comerciais de telecomunicação. / We have investigated the collective quantum properties of the three bright light beams produced by an optical parametric oscillator (OPO) operating above threshold, named pump, signal, and idler. We have analyzed experimentally their intensity and phase quantum fluctuations, and how they are correlated. For the first time, we have observed the existence of phase quantum correlations among the three beams. The measured phase-sum noise between signal and idler, Vq12=1,28(3)>1, presents squeezing when corrected by the phase fluctuations of the pump beam, resulting in (Vq12)\'=0,84(3)<1. For higher pump powers, we have observed the existence of amplitude quantum correlations directly between pump and one of the downconverted beams (signal or idler); the maximum measured squeezing level corresponded to the noise Vp02=0,86(3)<1. Our investigations included the entanglement properties of this tripartite system, tested by two different criteria. Our data points to the separability of the system in the accessible regime of operation, in contradiction with the theoretical predictions. Applying the criterion by P. van Loock and A. Furusawa, we have obtained the following values of combinations of variances which would attest the inseparability in case values smaller than 2 would be obtained: V0=1,29(5)<2, V1=2,04(11)>2, and V2=2,09(7)>2. For the second criterion, the positivity under partial transpose, we have obtained the following symplectic eigenvalues calculated from the measured covariance matrix: A0=0,94(8) and A1=0,36(6)<1, where entanglement is attested in case A0<1,and A1<1. This discrepancy with the theoretical prediction is caused by a classical spurious noise observed in the system, which characteristics are investigated in this thesis. Our analysis indicates the path to successfully observe tripartite entanglement. We show theoretically that the predicted tripartite entanglement can be employed as a resource for the construction of a multipartite entangled system. This is accomplished by pumping several OPO\'s with the same optical field, such that the pump beam reflected by the first OPO is utilized to pump a second one, and so on. This scheme allows the generation of a multicolor scalable quantum network. Finally, we describe the construction of a Ti:sapphire laser which represents the first step in the integration between non-classical light and atomic physics to be investigated in our laboratory. This laser could be employed at the same time to pump an OPO and to interact with a cloud of atoms. The tripartite entanglement produced by the OPO could then entangle the atoms to the downconverted beams, which wavelength would allow the transmission of these beams through commercial optical fibers for telecom.

Au cours de cette thèse, la physique des systèmes en interaction à été étudié expérimentalement à partir de gaz froids d'atomes de Rydberg. Les atomes de Rydberg sont des atomes dans un état fortement excités et ils ont la propriété d'interagir fortement du fait d'interactions électrostatiques à longue portée. Le premier résultat majeur de cette thèse est l'observation expérimentale d'un processus à quatre corps. Ce processus consiste en l'échange d'énergie interne entre quatre atomes de Rydberg induit par leurs interactions mutuelles. Il a été possible, en plus de son observation expérimentale, de décrire théoriquement ce processus, au niveau quantique. L'excitation par laser des gaz d'atomes de Rydberg en forte interaction a aussi été étudiée durant cette thèse. Cette situation donne lieu à de très intéressants comportements à N-corps. Ce sujet d'intérêt fondamental pourrait aussi amener à d'éventuelles applications pour la réalisation de simulateurs quantiques ou de sources de lumière non classiques. Un second résultat majeur de cette thèse est l'observation expérimentale d'une statistique fortement sub-poissonienne, i.e corrélée de l'excitation Rydberg. Ce résultat confirme le caractère à N-corps de tels systèmes. Le troisième résultat majeur de cette thèse est le développement d'un modèle théorique pour l'excitation par laser des gaz d'atomes de Rydberg en forte interaction. En utilisant les états quantiques dit états collectifs de Dicke, il a été possible de mettre au jour de nouveaux mécanismes liés au comportement à N-corps de ces sytèmes atomiques en forte interaction. / Uring this thesis, the Physics of interacting systems has been investigated experimentally using Cold Rydberg gases. Rydberg atoms are highly excited atoms and have the property to interact together through long-range electrostatic interactions.The first highlight of this thesis is the direct experimental observation of a 4-body process. This process consists in the exchange of internal energy between 4 Rydbergs atoms due to their mutual interactions. In addition to its observation, it has been possible to describ this process theoretically at a quantum level.The laser excitation of strongly interacting Rydberg gases has been also investigated during this thesis. In this regime, the interactions between Rydberg atoms give rise to very interesting many-body behaviors. In addition to fundamental interest, such systems could be used to realyze quantum simulators or non-classical light sources.A second highlight of this thesis is the experimental observation of a highly sub-poissonian, i.e correlated, excitation statistics. This result confirms the many-body character of the investigated system.The third highlight of this thesis is the development of a theoretical model to describ the laser excitation of strongly interacting Rydberg gases. Using the so-called Dicke collective states it has been possible to point out new mechanismes related to the many-body character of strongly atomic interacting systems.

<p dir="ltr">Quantum-enhanced approaches enable high-resolution imaging and sensing with signal-to-noise ratios beyond classical limits. However, operating in the quantum regime is highly susceptible to environmental influences and experimental conditions. Implementing these techniques necessitates highly controlled environments or intricate preparation methods, which can restrict their practical applications. This thesis explores the practical applications of quantum sensing, focusing on thermal sensing with bright quantum sources in biological and electronic contexts. Additionally, I discuss the development of a multimode source for quantum imaging applications and an on-chip atomic interface for scalable light-atom interactions. I built all the experimental setups from the beginning; a microscope setup for nanodiamond-based thermal sensing inside living cells, a four-wave mixing setup using a Rb cell for thermal imaging of microelectronics and multimode source, and a vacuum chamber for on-chip atomic interface.</p><p dir="ltr">Quantum sensing can be realized using atomic spins or optical photons possessing quantum information. Among these, color centers inside diamonds stand out as robust quantum spin defects (effective atomic spins), maintaining their quantum properties even in ambient conditions. In this thesis, I studied the role of an ensemble of color centers inside nanodiamonds as a probe of temperature in a living cell. Our approach involves incubating nanodiamonds in endothelial culture cells to achieve sub-kelvin sensitivity in temperature measurement. The results reveal a temperature error of 0.38 K and a sensitivity of 3.46 K/sqrt(Hz)<i> </i>after 83 seconds of measurement. Furthermore, I discuss the constraints of nanodiamond temperature sensing in living cells, propose strategies to surmount these limitations, and explore potential applications arising from such measurements.</p><p dir="ltr">Another ubiquitous quantum probe is light with quantum properties. Photons, the particles of light, can carry quantum correlations and have minimal interactions with each other and, to some extent, the environment. This capability theoretically allows for quantum-enhanced imaging or sensing of sample’s properties. In this thesis, I report on the demonstration of quantum-enhanced temperature sensing in microelectronics using bright quantum optical signals. I discuss the first demonstration of quantum thermal imaging used to identify hot spots and analyze heat transport in electronic systems.</p><p dir="ltr">To achieve this, we employed lock-in detection of thermoreflectivity, enabling us to measure temperature changes in a micro-wire induced by an electric current with an accuracy better than 0.04 degrees, averaged over 0.1 seconds. Our results demonstrate a nearly 50 % improvement in accuracy compared to using classical light at the same power, marking the first demonstration of below-shot-noise thermoreflectivity sensing. We applied this imaging technique to both aluminum and niobium-based circuits, achieving a thermal resolution of 42 mK during imaging. We scanned a 48 × 48 μm<i> </i>area with 3-4 dB squeezing compared to classical measurements. Based on these results, we infer possibility of generating a 256×256 pixel image with a temperature sensitivity of 42 mK within 10 minutes. This quantum thermoreflective imaging technique offers a more accurate method for detecting electronic hot spots and assessing heat distribution, and it may provide insights into the fundamental properties of electronic materials and superconductors.</p><p dir="ltr">In transitioning from single-mode to multimode quantum imaging, I conducted further research on techniques aimed at generating multimode quantum light. This involved an in-depth analysis of the correlation characteristics essential for utilizing quantum light sources in imaging applications. To achieve the desired multimode correlation regime, I developed a system centered on warm Rubidium vapor with nonlinear gain and feedback processes. The dynamics of optical nonlinearity in the presence of gain and feedback can lead to complexity, even chaos, in certain scenarios. Instabilities in temporal, spectral, spatial, or polarization aspects of optical fields may arise from chaotic responses within an optical <i>x</i>(2) or <i>x</i>(3) nonlinear medium positioned between two cavity mirrors or preceding a single feedback mirror. However, the complex mode dynamics, high-order correlations, and transitions to instability in such systems remain insufficiently understood.</p><p dir="ltr">In this study, we focused on a <i>x</i>(3) medium featuring an amplified four-wave mixing process, investigating noise and correlations among multiple optical modes. While individual modes displayed intensity fluctuations, we observed a reduction in relative intensity noise approaching the standard quantum limit, constrained by the camera speed. Remarkably, we recorded a relative noise reduction exceeding 20 dB and detected fourth-order intensity correlations among four spatial modes. Moreover, this process demonstrated the capability to generate over 100 distinct correlated quadruple modes.</p><p dir="ltr">In addition to conducting multimode analysis to develop a scalable imaging system, I have explored methodologies aimed at miniaturizing light-atom interactions on a chip for the scalable generation of quantum correlations. While warm atomic vapors have been utilized for generating or storing quantum correlations, they are plagued by challenges such as inhomogeneous broadening and low coherence time. Enhancing control over the velocity, location, and density of atomic gases could significantly improve light-atom interaction. Although laser cooling is a common technique for cooling and trapping atoms in a vacuum, its implementation in large-scale systems poses substantial challenges. As an alternative, I focused on developing an on-chip system integrated with atomic vapor controlled by surface acoustic waves (SAWs).</p><p dir="ltr">Surface acoustic waves are induced by an RF signal along the surface of a piezoelectric material and have already been proven to be effective for manipulating particles within microfluidic channels. Expanding upon this concept, I investigated the feasibility of employing a similar approach to manipulate atoms near the surface of a photonic circuit. The interaction between SAWs and warm atomic vapor is expected as a mechanism for controlling atomic gases in proximity to photonic chips for quantum applications. Through theoretical analysis spanning molecular dynamics and fluid dynamics regimes, I identified the experimental conditions necessary to observe acoustic wave behavior in atomic vapor. To validate this theory, I constructed an experiment comprising a vacuum chamber housing Rb atoms and a lithium niobate chip featuring interdigital transducers for launching SAWs. However, preliminary experimental results yielded no significant signals from SAW-atom interactions. Subsequent analysis revealed that observing such interactions requires sensitivity and signal-to-noise ratio (SNR) beyond the capabilities of the current setup. Multiple modifications, including increasing buffer gas pressure and mitigating RF cross-talk, are essential for conclusively observing and controlling these interactions.</p>