Time-varying fields are widely used to extend the accessible range of trapping potentials for ultracold atoms. This work explores two very different examples of such fields, in the radiofrequency and optical regimes, whose interactions with trapped atoms can both be described in terms of the dressed atom picture. Forming the basis of this work are radiofrequency dressed adiabatic potentials based on macroscopic trapping coils. Atoms are confined at the south pole of the resultant oblate spheroidal trapping surfaces. This work describes the extension of these potentials by two different methods: the application of multiple dressing radiofrequencies, and addition of a rapidly-scanned optical dipole trap. This is the first experimental demonstration of a multiple-radiofrequency dressed adiabatic potential, explored using ultracold ⁸⁷Rb atoms confined in a highly configurable double well. Due to the independent generation of each constituent dressing frequency, the depth of each trapping well and the height of the barrier are easily manipulated, enabling precise and reliable transfer of atoms between the available trapping geometries. Experimental work includes an exploration of the potential-shaping capabilities of the three-radiofrequency system, and characterisation of the potential landscape using radiofrequency spectroscopy with good agreement to the eigenvalues numerically calculated using Floquet theory. This initial exploration of multiple-radiofrequency techniques lays the groundwork for applications in studying double well physics in a two-dimensional system, and independent state or species selective manipulation of trapped atoms. The potential shaping capabilities of this method can also be extended by applying additional trapping frequencies. In a supplementary line of experimental work, an optical dipole trapping system has been constructed, and the trapping beam aligned to the lower surface of the radiofrequency dressed trapping shell in order to sculpt the radial confinement. Beam shaping is achieved using an acousto-optic deflector, which can be used to produce either a composite array of static deflected beams, a rapidly-scanned painted potential, or some combination of the two approaches. The development and extension of the experimental apparatus required to implement these enhanced dressed state potentials is explored, and the challenges of their experimental implementation considered.

Neste trabalho nós apresentamos detalhadamente todo o desenvolvimento experimental realizado em São Carlos para produção e estudo de gases quânticos, visando principalmente à produção do condensado de Bose-Einstein em átomos de Na-23. Para isso projetamos, construímos e integramos todo um complexo sistema experimental que reúne a maioria das técnicas desenvolvidas na área de átomos frios nas últimas décadas: desaceleração de feixes atômicos, aprisionamento magnético e magneto-óptico de átomos neutros, resfriamento sub-Doppler, resfriamento evaporativo induzido por radiofreqüência, manipulação de altos campos magnéticos e o processamento de imagens de amostras próximas do zero absoluto. Com isso realizamos o primeiro e mais importante passo, também o mais difícil, do nosso projeto de estudo de gases quânticos, que foi o desenvolvimento e operacionalização de todo o aparato experimental. Ainda assim, este trabalho não se resume apenas ao desenvolvimento de instrumentação, pois ao longo do caminho também fizemos contribuições cientificas originais e importantes para o desenvolvimento da área de átomos frios, como um todo. Essas contribuições resultaram em várias publicações que estão anexadas no apêndice III, mas não constituem o foco deste trabalho, cujo principal objetivo é o estudo de gases quânticos macroscopicamente degenerados. / We present here all the experimental development obtained in São Carlos to produce and study quantum degenerate gases, aiming specially the realization of Bose-Einstein Condensation (BEC) in sodium (Na-23) atoms. In order to do that we designed, built and completely integrated a complex experimental setup which conjugates most of the techniques developed along the last decades to produce cold atoms: atomic beam slowing, magnetic and magneto-optical trapping, optical sub-Doppler cooling, forced evaporative cooling induced by radio-frequency (RF), controlling of high gradient and curvature magnetic fields for atom trapping and the image acquisition and processing of atomic samples near absolute zero temperatures. During this period we did the first and most important step, also the most difficult, of our current project to study quantum gases, which was the development and realization of all the experimental apparatus. However, this work is not just about instrumentation, and along the way we also did important scientific contributions to the cold atom field, as whole. These contributions resulted in several publications, listed in appendix III, but they do not constitute the focus of this work, which main goal is the study of macroscopically quantum degenerate gases.

Neste trabalho nós apresentamos detalhadamente todo o desenvolvimento experimental realizado em São Carlos para produção e estudo de gases quânticos, visando principalmente à produção do condensado de Bose-Einstein em átomos de Na-23. Para isso projetamos, construímos e integramos todo um complexo sistema experimental que reúne a maioria das técnicas desenvolvidas na área de átomos frios nas últimas décadas: desaceleração de feixes atômicos, aprisionamento magnético e magneto-óptico de átomos neutros, resfriamento sub-Doppler, resfriamento evaporativo induzido por radiofreqüência, manipulação de altos campos magnéticos e o processamento de imagens de amostras próximas do zero absoluto. Com isso realizamos o primeiro e mais importante passo, também o mais difícil, do nosso projeto de estudo de gases quânticos, que foi o desenvolvimento e operacionalização de todo o aparato experimental. Ainda assim, este trabalho não se resume apenas ao desenvolvimento de instrumentação, pois ao longo do caminho também fizemos contribuições cientificas originais e importantes para o desenvolvimento da área de átomos frios, como um todo. Essas contribuições resultaram em várias publicações que estão anexadas no apêndice III, mas não constituem o foco deste trabalho, cujo principal objetivo é o estudo de gases quânticos macroscopicamente degenerados. / We present here all the experimental development obtained in São Carlos to produce and study quantum degenerate gases, aiming specially the realization of Bose-Einstein Condensation (BEC) in sodium (Na-23) atoms. In order to do that we designed, built and completely integrated a complex experimental setup which conjugates most of the techniques developed along the last decades to produce cold atoms: atomic beam slowing, magnetic and magneto-optical trapping, optical sub-Doppler cooling, forced evaporative cooling induced by radio-frequency (RF), controlling of high gradient and curvature magnetic fields for atom trapping and the image acquisition and processing of atomic samples near absolute zero temperatures. During this period we did the first and most important step, also the most difficult, of our current project to study quantum gases, which was the development and realization of all the experimental apparatus. However, this work is not just about instrumentation, and along the way we also did important scientific contributions to the cold atom field, as whole. These contributions resulted in several publications, listed in appendix III, but they do not constitute the focus of this work, which main goal is the study of macroscopically quantum degenerate gases.

Ultra-cold dilute gases of neutral atoms are attractive candidates for creating controlled mesoscopic quantum systems. In particular, quantum degenerate gases of bosonic and fermionic atoms can be used to model the correlated many-body behaviour of Bose and Fermi condensed matter systems, and to study matter wave interference and coherence. This thesis describes the experimental realization and manipulation of Bose-Einstein condensates (BECs) of 87Rb and degenerate Fermi gases (DFGs) of 40K using static and dynamic magnetic atom chip traps. Atom chips are versatile modern tools used to manipulate atomic gases. The chips consist of micrometre-scale conductors supported by a planar insulating substrate, and can be used to create confining potentials for neutral atoms tens or hundreds of micrometres from the chip surface. We demonstrate for the first time that a DFG can be produced via sympathetic cooling with a BEC using a simple single-vacuum-chamber apparatus. The large 40K-87Rb collision rate afforded by the strongly confining atom chip potential permits rapid cooling of 40K to quantum degeneracy via sympathetic cooling with 87Rb. By studying 40K-87Rb cross-thermalization as a function of temperature, we observe the Ramsauer-Townsend reduction in the 40K-87Rb elastic scattering cross-section. We achieve DFG temperatures as low as T = 0.1TF , and observe Fermi pressure in the time-of-flight expansion of the gas. This thesis also describes the radio-frequency (RF) manipulation of trapped atoms to create dressed state double-well potentials for BEC and DFG.We demonstrate for the first time that RF-dressed potentials are species-selective, permitting the formation of simultaneous 87Rb double-well and 40K single-well potentials using a 40K-87Rb mixture. We also develop tools to measure fluctuations of the relative atom number and relative phase of a dynamically split 87Rb BEC. In particular, we observe atom number fluctuations at the shot-noise level using time-of-flight absorption imaging. These measurement tools lay the foundation for future investigations of number squeezing and matter wave coherence in BEC and DFG systems.

Ultra-cold dilute gases of neutral atoms are attractive candidates for creating controlled mesoscopic quantum systems. In particular, quantum degenerate gases of bosonic and fermionic atoms can be used to model the correlated many-body behaviour of Bose and Fermi condensed matter systems, and to study matter wave interference and coherence. This thesis describes the experimental realization and manipulation of Bose-Einstein condensates (BECs) of 87Rb and degenerate Fermi gases (DFGs) of 40K using static and dynamic magnetic atom chip traps. Atom chips are versatile modern tools used to manipulate atomic gases. The chips consist of micrometre-scale conductors supported by a planar insulating substrate, and can be used to create confining potentials for neutral atoms tens or hundreds of micrometres from the chip surface. We demonstrate for the first time that a DFG can be produced via sympathetic cooling with a BEC using a simple single-vacuum-chamber apparatus. The large 40K-87Rb collision rate afforded by the strongly confining atom chip potential permits rapid cooling of 40K to quantum degeneracy via sympathetic cooling with 87Rb. By studying 40K-87Rb cross-thermalization as a function of temperature, we observe the Ramsauer-Townsend reduction in the 40K-87Rb elastic scattering cross-section. We achieve DFG temperatures as low as T = 0.1TF , and observe Fermi pressure in the time-of-flight expansion of the gas. This thesis also describes the radio-frequency (RF) manipulation of trapped atoms to create dressed state double-well potentials for BEC and DFG.We demonstrate for the first time that RF-dressed potentials are species-selective, permitting the formation of simultaneous 87Rb double-well and 40K single-well potentials using a 40K-87Rb mixture. We also develop tools to measure fluctuations of the relative atom number and relative phase of a dynamically split 87Rb BEC. In particular, we observe atom number fluctuations at the shot-noise level using time-of-flight absorption imaging. These measurement tools lay the foundation for future investigations of number squeezing and matter wave coherence in BEC and DFG systems.

Cette thèse, motivée par le développement récent des techniques d’obtention de molécules froides, présente une étude théorique assez complète du système collisionnel ionique 3,4He + N2+. La relaxation rotationnelle de l’ion moléculaire a été décrite dans les régimes froid et ultrafroid, pour lesquels l’interaction spin-rotation du radical paramagnétique joue un rôle crucial. L’apparition de nouvelles résonances spécifiques de cette interaction a été analysée. Un autre phénomène directement lié à cette interaction, celui de la réorientation du moment magnétique associé au spin électronique du diatome induite par collision avec l’hélium, a été étudié d’abord en l’absence puis en présence d’un champ magnétique externe. Les mêmes méthodes de dynamique quantique inélastique ont été utilisées pour l’étude de la collision H2 + HF d’intérêt astrochimique. / Abstract

Cette thèse décrit l'étude des gaz de fermions $^6$Li et de bosons<br />$^7$Li dans le régime quantique à très basse température. Le<br />refroidissement est obtenu par évaporation du $^7$Li dans un piège<br />magnétique très confinant. Puisque le refroidissement évaporatif<br />d'un gaz de fermion polarisé est quasiment impossible, le $^6$Li<br />est refroidi sympathiquement par contact thermique avec le $^7$Li.<br />Dans une première série d'expériences, les propriétés des gaz<br />quantiques dans les états hyperfins les plus élevés, piégés<br />magnétiquement, sont étudiées. Un gaz de $10^5$ fermions a une<br />température de 0.25(5) fois la température de Fermi ($T_F$) est<br />obtenu. L'instabilité du condensat pour plus de 300 atomes<br />condensés, à cause des interactions attractives, limite la<br />dégénérescence que l'on peut atteindre. Pour s'affranchir de cette<br />limite, une autre série d'expérience est menée dans les états<br />hyperfins bas, piégeable magnétiquement, où les interactions entre<br />bosons sont faiblement répulsives. Les collisions<br />inter-isotopiques permettent alors la thermalisation du mélange.<br />Le mélange d'un condensat de Bose-Einstein (CBE) de $^7$Li et d'un<br />mer de Fermi de $^6$Li est produit. Le condensat est quasi<br />unidimensionnel et la fraction thermique peut être négligeable. La<br />dégénérescence atteinte correspond à $T/T_C=T/T_F=0.2(1)$. La<br />température est mesurée à partir de la fraction thermique des<br />bosons qui disparaît aux plus basses températures, et limite notre<br />précision de mesure. Dans une troisième série d'expérience, les<br />bosons sont transférés dans un piège optique, et placé dans l'état<br />interne $|F=1,m_F=1\rangle$, l'état fondamental pour les bosons.<br />Une résonance de Feshbach est repérée puis exploitée pour former<br />un condensai où les interactions sont ajustables. Quand les<br />interactions effectives entre les atomes sont attractives, on<br />observe la formation d'un soliton brillant de matière. La<br />propagation de ce soliton sans dispersion sur une distance de<br />$1.1\,$mm est observée.