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Imagerie sub-longueur d'onde de nuages atomiques optiquement denses dans un microscope à gaz quantique

Romain Veyron

Published Dec 17, 2021• 1 citation
Publisher

Abstract

Cold atoms are a quantum system well-isolated from the environment. Since the 80s, they have been used to make high-sensitivity atomic sensors and to deepen the understanding of quantum physics phenomena. At low temperatures, degenerate atomic gas regimes can be reached. They are characterized by a macroscopic quantum state that can be manipulated and controlled by lasers. Placing such atomic wave function in optical lattices provide a way to study the dynamics of complex many-body systems. In this context, diffraction-limited quantum gas microscopes have emerged as standard tools to probe such complex systems and to measure atomic density correlations between lattice sites. By further reducing the optical lattices dimensions, the energy scales are strongly enhanced and favor novel quantum phases. Such reduction of optical lattice dimensions requires novel trapping and imaging techniques to manipulate cold-atoms with subwavelength spatial resolutions.In this PhD thesis, we experimentally perform subwavelength imaging of ultra-cold atoms of Rubidium 87 using a dressed excited state method, initially proposed for generating subwavelength trapping potentials. The measurement are performed using in situ absorption imaging. A quantitative comparison of data and theory lead us to reinterprete and modify a method for atom number calibrations that is commonly used in the community. This reinterpretation requires a fine understanding of the interaction of a single quantum multi-level system and a coherent saturating field. The measurement of the in situ transmission of a coherent probe shows a linear reduction of the single-atom scattering cross-section with the optical density for which we propose a physical interpretation and a model. Once calibrated, we use our subwavelength imaging method that reaches down to 20 nm resolution in a few microseconds to super-resolve a tiny quantum object : the longitudinal wave function of a BEC in a very tight lattice.

DOI
10.70675/eb1e0a80z0438z4766za89dzb496561c6b22

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Imagerie sub-longueur d'onde de nuages atomiques optiquement denses dans un microscope à gaz quantique Les atomes froids sont un système quantique très bien isolé de l’environnement. Depuis les années 80s, ils sont utilisés pour faire des capteurs atomiques très sensibles et pour approfondir la compréhension des phénomènes de la physique quantique. À de très basses températures, des régimes de gaz atomiques dégénérés peuvent être atteints. Ils sont caractérisés par un état quantique macroscopique qui peut être manipulé et contrôlé par lasers. En chargeant ces états quantiques bien déterminés dans des réseaux optiques il est possible d'étudier la dynamique de systèmes complexes à N corps qui ne peuvent être simulés numériquement. Les microscopes à gaz quantique limités par la diffraction ont ensuite émergé comme des outils pour sonder de tels systèmes et mesurer des corrélations de densité atomique entre les sites du réseau. En réduisant la taille des réseaux optiques jusqu’à des dimensions sub-longueur d’onde, il devrait être possible d’atteindre de nouvelles transitions de phase quantiques. De tels réseaux nécessitent le développement de techniques de piégeage et d’imagerie permettant de manipuler les atomes froids avec des résolutions spatiales sub-longueur d’onde.Dans ce travail de thèse, nous démontrons expérimentalement une imagerie sub-longueure d’onde d’atomes ultra-froids de Rubidium 87 dont nous expliquerons brièvement la production expérimentale. Cette imagerie utilise une méthode d’état excité habillé, initialement proposée pour générer des potentiels de piégeage sub-longueur d’onde. Pour être quantitatif sur notre imagerie par absorption de volumes sub-longueur d'onde, nous avons réinterprété et modifié une méthode de calibration des nombres d’atomes communément utilisée dans la communauté. Cette ré-interprétation repose sur une compréhension fine de l’interaction d’un atome multi-niveaux avec un champ cohérent saturant dans des conditions perturbées. En mesurant in situ la transmission d’un champ cohérent, nous montrons alors que la section efficace de diffusion à un seul atome diminue linéairement avec la densité optique et nous proposons une interprétation et un model pour cette dépendance. Après avoir calibré notre méthode d’imagerie sub-longueur d’onde qui permet d’atteindre des résolutions spatiales de 20 nm en quelques microsecondes, nous l’appliquons à la mesure super-résolue des sites d’un réseau très fortement compressés.

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Cold atoms are a quantum system well-isolated from the environment. Since the 80s, they have been used to make high-sensitivity atomic sensors and to deepen the understanding of quantum physics phenomena. At low temperatures, degenerate atomic gas regimes can be reached. They are characterized by a macroscopic quantum state that can be manipulated and controlled by lasers. Placing such atomic wave function in optical lattices provide a way to study the dynamics of complex many-body systems. In this context, diffraction-limited quantum gas microscopes have emerged as standard tools to probe such complex systems and to measure atomic density correlations between lattice sites. By further reducing the optical lattices dimensions, the energy scales are strongly enhanced and favor novel quantum phases. Such reduction of optical lattice dimensions requires novel trapping and imaging techniques to manipulate cold-atoms with subwavelength spatial resolutions.In this PhD thesis, we experimentally perform subwavelength imaging of ultra-cold atoms of Rubidium 87 using a dressed excited state method, initially proposed for generating subwavelength trapping potentials. The measurement are performed using in situ absorption imaging. A quantitative comparison of data and theory lead us to reinterprete and modify a method for atom number calibrations that is commonly used in the community. This reinterpretation requires a fine understanding of the interaction of a single quantum multi-level system and a coherent saturating field. The measurement of the in situ transmission of a coherent probe shows a linear reduction of the single-atom scattering cross-section with the optical density for which we propose a physical interpretation and a model. Once calibrated, we use our subwavelength imaging method that reaches down to 20 nm resolution in a few microseconds to super-resolve a tiny quantum object : the longitudinal wave function of a BEC in a very tight lattice.
Ultracold atomic gas is a quantum system well-isolated from the environment, whose interaction with light is well understood. The ultracold gas thus becomes a highly performant quantum simulator to place under tailored potential generated by light. Observation of atom dynamics give answers to many quantum phenomena, such as the fractional quantum Hall effect, topological insulators, and superconductivity. In this context, diffraction-limited quantum gas microscopes have emerged as standard tools to probe such complex systems and to measure atomic density correlations between lattice sites. In addition, capability of manipulating the quantum gas microscopically opens the access to non-equilibrium many-body physics. In this PhD thesis, we investigate sub-wavelength control upon ultracold atoms using a dressed excited state method. We first characterized the excited state spectrum. From Lindblad master equations, a new form of ground state potential has been proposed to explain the coherent dynamics of the atomic wavefunction. We experimentally confirmed the correctness of the proposal through Kapitza-Dirac scattering. We then performed sub-wavelength microscopy on the smallest quantum object we could realize: the atomic wavefunction compressed in a tight optical lattice. Based on this microscopy technique, we could spatially resolve the coherent tunneling dynamics between lattice sites. By introducing site-resolved decay channel, quantum Zeno effect has been observed during the tunneling, opening the way to coherent control of an atomic wavefunction at sub-wavelength scales.
Quantum gas microscopes have become a major element for quantum simulations using ultra-cold atoms in optical lattices. They are for example used to observe long-range order such as anti-ferromagnetic correlations in far field optical lattices using density and spin resolved microscopy. Decreasing the period of such lattice offer interesting perspective to increase atom-atom interaction energies and engineer atom-light coupling that our group tackles via the hybridization of cold atoms and nano-structured surfaces.In this poster, we will present how such type of sub-wavelength lattice potentials can be generated by trapping atoms in proximity (tens to hundreds of nanometers) of a nano-structured surface. At such atom to surface distance, the attractive Casimir-Polder force can be compensated by a doubly dressed state trapping method that I will discuss. Such method additionally offers solutions to overcome the diffraction limit of conventional imaging that become critical for sub-wavelength lattices. In this work, I will present the experimental characterization of a sub-wavelength resolution absorption imaging applicable to quantum gas detection. This method requires a quantitative determination of the atom number of dense clouds which has been characterized in this work and demonstrate that the scattering cross section reduces linearly with the optical density. Modelling the propagation of light in dense cloud we show that this reduction can be attributed to re-scattering of the incoherent part of the resonant fluorescence spectrum.The poster will additionally present an update on our recent work on the spectroscopy of Acetylene in sealed hollow core fibers.
The entry into the new millennium was marked in the quantum community by the first experimental realizations of the Bose-Einstein condensation of atoms in a vapor, achieved in different research groups. Twenty-five years later, such systems are 'routinely' produced and are the core of many experiments. At the frontier between condensed matter their y, quantum optics, and atomic physics, ultra-cold atoms are subjects of high scientific interest.Ultra-cold gas can be trapped in optical lattices, giving a realistic way of experimentally realizing a new range of lattice Hamiltonians, that are used to simulate condensed matter systems. In these simulations, ultra-cold atoms are used to mimic the behavior of electrons in a solid-state material and could be used to simulate a wide range of complex condensed matter phenomena, such as the fractional quantum Hall effect, topological insulators, and high-temperature superconductivity.In order to study such systems, diffraction-limited quantum gas microscopes have emerged as a way to manipulate and detect atoms trapped in lattice potentials. Using far-field interference, experiments have mainly been restricted to a lattice spacing of 500 nm. This limits the speed of dynamics of all physical processes.Higher energy regimes could be accessed by reducing the lattice spacing. For this purpose, one of the long-term goals of the team is to trap atoms in the near-field of a surface and to make use of the Casimir-Polder forces to shape sub-wavelength potentials. Thanks to nano-fabrication capabilities, the spacing can be reduced to a few tens of nanometers. However, this requires to adapt the imaging techniques to observe cold-atoms with sub-wavelength spatial resolutions.In this PhD thesis, I report first on the advances toward implementing an atom chip in our experiment, which will serve as an integrated platform to manipulate the quantum gas. I present simulations and study an experimental solution allowing the cloud to be transported to the near-field. The method is based on the interference of a laser radiation in the near field of a rotating surface. It has been fully simulated, and the limitations have been numerically and experimentally assessed. I conclude this part by presenting the first model of chip that has been fabricated.In a second part, I report on the development of a sub-wavelength imaging method of cold Rubidium 87 atoms which is based on excited state dressing. I detail the concept of this nano-metric spatial resolution method and apply it to super-resolve a single longitudinal wave function trapped in a tight lattice that exhibits a width below 30 nm.
In this work, we implement a new method for imaging ultracold atoms with subwavelength resolution capabilities and determine its regime of validity. It uses the laser-driven interaction between excited states to engineer hyperfine ground-state population transfer in a three-level system on scales much smaller than the optical resolution. Subwavelength imaging of a quantum gas is atypical in the sense that the measurement itself perturbs the dynamics of the system. To avoid induced dynamics affecting the measurement, one usually “rapidly” measures the wave function in a so-called strong imaging regime. We experimentally illustrate this regime using a thermal gas ensemble, and demonstrate subwavelength resolution in quantitative agreement with a fully analytical model. Additionally, we show that, counterintuitively, the opposite weak imaging regime can also be exploited to reach subwavelength resolution. As a proof of concept, we demonstrate that this regime is a robust solution to select and spatially resolve a 30-nm-wide wave function, which was created and singled out from a tightly confined one-dimensional optical lattice. Using a general dissipation-included formalism, we derive validity criteria for both regimes. The formalism is applicable to other subwavelength methods. Published by the American Physical Society 2024
Cold atom experiments have traditionally employed bulk imaging techniques, such as absorption imaging, to measure atomic sample densities. However, in recent years, single-atom imaging methods have emerged as powerful tools to probe and manipulate quantum many-body systems at the level of individual particles. This work focuses specifically on quantum gas microscopy using Raman sideband cooling in an optical lattice. This technique, which has been used extensively in several cold atoms groups, has mostly been applied in the context of discrete systems, such as the celebrated Bose- and Fermi-Hubbard models and their generalization. In this thesis, we show how quantum gas microscopy can be extended beyond its original scope to probe continuous many-body systems in a quantitative manner. Our proposed protocol consists in a rapid ramp of the pinning lattice intensity, projecting atoms from the continuum onto discrete lattice sites, followed by a Raman sideband cooling stage that confines atoms near the motional ground state and prevents them from escaping during imaging. To validate the effectiveness of this new method, we characterize the pinning and imaging processes by using continuous quantum gas microscopy to reconstruct the wavefunction of a single-atom Gaussian wave packet during its free expansion. Under optimal conditions, we achieve an imaging fidelity in excess of 95%, defined as the probability of projecting an atom from the continuum to the nearest lattice site and successfully imaging it. We also apply this technique to a quasi-two-dimensional non-interacting Fermi gas, enabling us to extract two- and three-body correlation functions, g2 and g3, with unprecedented spatial resolution and finding an excellent agreement with the theoretical prediction. In particular, our measurements reveal a 90% reduction in the probability of finding two atoms in close proximity for the coldest samples, offering one of the most pristine in situ observations of the Pauli exclusion principle in a continuous system. Finally, we propose a thermometry method based on atom number fluctuations, which are readily obtained from our imaging procedure. Crucially, this thermometry technique could be generalized to strongly interacting systems, where temperature estimation is typically challenging. The quantum gas microscopy technique developed here opens new avenues for studying continuous many-body systems with unprecedented resolution, offering a powerful tool for future cold atom experiments.
Imagerie sub-longueur d'onde de nuages atomiques optiquement denses dans un microscope à gaz quantique Les atomes froids sont un système quantique très bien isolé de l’environnement. Depuis les années 80s, ils sont utilisés pour faire des capteurs atomiques très sensibles et pour approfondir la compréhension des phénomènes de la physique quantique. À de très basses températures, des régimes de gaz atomiques dégénérés peuvent être atteints. Ils sont caractérisés par un état quantique macroscopique qui peut être manipulé et contrôlé par lasers. En chargeant ces états quantiques bien déterminés dans des réseaux optiques il est possible d'étudier la dynamique de systèmes complexes à N corps qui ne peuvent être simulés numériquement. Les microscopes à gaz quantique limités par la diffraction ont ensuite émergé comme des outils pour sonder de tels systèmes et mesurer des corrélations de densité atomique entre les sites du réseau. En réduisant la taille des réseaux optiques jusqu’à des dimensions sub-longueur d’onde, il devrait être possible d’atteindre de nouvelles transitions de phase quantiques. De tels réseaux nécessitent le développement de techniques de piégeage et d’imagerie permettant de manipuler les atomes froids avec des résolutions spatiales sub-longueur d’onde.Dans ce travail de thèse, nous démontrons expérimentalement une imagerie sub-longueure d’onde d’atomes ultra-froids de Rubidium 87 dont nous expliquerons brièvement la production expérimentale. Cette imagerie utilise une méthode d’état excité habillé, initialement proposée pour générer des potentiels de piégeage sub-longueur d’onde. Pour être quantitatif sur notre imagerie par absorption de volumes sub-longueur d'onde, nous avons réinterprété et modifié une méthode de calibration des nombres d’atomes communément utilisée dans la communauté. Cette ré-interprétation repose sur une compréhension fine de l’interaction d’un atome multi-niveaux avec un champ cohérent saturant dans des conditions perturbées. En mesurant in situ la transmission d’un champ cohérent, nous montrons alors que la section efficace de diffusion à un seul atome diminue linéairement avec la densité optique et nous proposons une interprétation et un model pour cette dépendance. Après avoir calibré notre méthode d’imagerie sub-longueur d’onde qui permet d’atteindre des résolutions spatiales de 20 nm en quelques microsecondes, nous l’appliquons à la mesure super-résolue des sites d’un réseau très fortement compressés.