Cette thèse présente de nouvelles techniques pour l'étude expérimentale des gaz quantique ultrafroids d'atomes fermioniques de lithium et de potassium. Dans la première partie de cette thèse, nous décrivons la conception et la caractérisation des nouveaux composants de notre dispositif expérimental capable de piéger et refroidir simultanément des atomes de $^6$Li et de $^{40}$K à des températures ultrabasses. Nous rendons compte d'une nouvelle technique de refroidissement sub-Doppler, reposant sur la transition de la raie D$_1$ des atomes alcalins, pour refroidir des atomes de lithium et de potassium par laser. Après cette étape de mélasse, nous avons mesuré une densité dans l'espace des phases de l'ordre de $10^{-4}$ à la fois pour le $^6$Li et le $^{40}$K. Nous présentons le refroidissement par évaporation forcée d'atomes de $^{40}$K qui commence dans un piège magnétique quadripolaire pluggé et continue dans un piège optique dipolaire. Dans ce contexte, nous rendons compte de la production d'un gaz quantique de Fermi dégénéré de $1.5\times10^5$ atomes de $^{40}$K dans un piège dipolaire croisé avec $T/T_{_F} = 0.17$, ce qui ouvre la voie à l'étude des superfluides de $^{40}$K en interaction forte. Dans la deuxième partie de cette thèse, nous présentons une source laser à état solide, de faible largeur spectrale et capable d'émettre 5.2 W de puissance autour de 671 nm, dans la gamme des longueurs d'onde des transitions de la raie D du lithium. La source repose sur un laser en anneau pompé par diode, émettant sur la transition à 1342 nm de Nd:YVO$_4$, capable de produire 6.5 W de lumière dans un faisceau monomode limité par la diffraction. Nous rendons compte de trois différentes approches pour la génération de seconde harmonique du faisceau de sortie, à savoir en utilisant une cavité amplificatrice comprenant un cristal ppKTP, par doublage de fréquence intracavité et par un structure de guide d'onde de ppZnO:LN. / This thesis presents novel techniques for the experimental study of ultracold quantum gases of fermionic lithium and potassium atoms. In the first part of this thesis, we describe the design and characterization of the new components of our experimental apparatus capable of trapping and cooling simultaneously $^6$Li and $^{40}$K atoms to ultracold temperatures. We report on a novel sub-Doppler cooling mechanism, operating on the D$_1$ line transition of alkali atoms, for laser cooling of lithium and potassium. The measured phase space densities after this molasses phase are on the order of $10^{-4}$ for both $^6$Li and $^{40}$K. We present the forced evaporative cooling of $^{40}$K atoms, starting in an optically plugged magnetic quadrupole trap and continuing in an optical dipole trap. In this context, we report on the production of a quantum degenerate Fermi gas of $1.5\times10^5$ atoms $^{40}$K in a crossed dipole trap with $T/T_{_F} = 0.17$, paving the way for the study of strongly interacting superfluids of $^{40}$K. In the second part of this thesis, we present a narrow-linewidth, all-solid-state laser source, emitting 5.2 W in the vicinity of the lithium D-line transitions at 671 nm. The source is based on a diode-end-pumped unidirectional ring laser operating on the 1342 nm transition of Nd:YVO$_4$, capable of producing 6.5 W of single-mode light delivered in a diffraction-limited beam. We report on three different approaches for second-haromonic generation of its output beam, namely by employing an enhancement cavity containing a ppKTP crystal, intracavity frequency doubling and a ppZnO:LN waveguide structure.

Diode lasers are a convenient and economical source of near-infrared radiation, which may usefully be applied to a host of different sensitive detection methods; this thesis presents novel extensions of these methods, making use of the favourable characteristics of this type of light source. The first part of this thesis details the development of an optical feedback cavity-enhanced absorption spectroscopy (OF-CEAS) apparatus, including the development of the optical system, the sample handling, and the electronics for feedback phase control. A preliminary demonstration of the system is reported, presenting the detection of atmospheric water absorptions close to 1596 nm. Optimisation and application of the OF-CEAS spectrometer are then demonstrated, after which the spectrometer is applied to the sensitive detection of carbon dioxide absorptions suitable as a diagnostic aid in identifying Heliobacter pylori infection. A time-normalised α-min value of 5.8 × 10⁻⁹ cm⁻¹s^1/2 was measured for these spectra. Further optimisation of the system leads to an ultimate detection sensitivity of 1.42 × 10⁻⁹ cm⁻¹s^1/2, measured on absorption transitions in acetylene close to 1532 nm. In order further to characterise the performance of the OF-CEAS system, analogous experiments are presented using the OF-CEAS setup and a standard diode-laser cavity-enhanced absorption spectroscopy (CEAS) apparatus. Detection is carried out on the P(6) line of the ν₁ + ν₃ vibrational band of the mixed isotopologue of acetylene, ¹²-C¹³-CH₂. Direct comparison is made between the sensitivities of the two methods, and in light of this the suitability of each technique for detection in different environments is considered. The well-characterised and consistent frequency scale which is inherent to the OF-CEAS technique is then applied to a line shape analysis for the presented absorption spectra. Pressure-broadening coefficients are determined for selected absorptions in the ν₁ + ν₃ band of acetylene. In spite of the low resolution associated with this technique, this accurate frequency scaling allows observation of subtle line shape effects such as Dicke collisional narrowing using the data presented in Chapter 3 for the R(60) line in the 3ν₁ + ν₃ vibrational band of CO₂. These effects are quantified through use of a Galatry fit to each absorption spectrum. The statistical significance associated with the use of such a model, and the physical meaning of the results, are examined and discussed. An alternative strategy for increasing the sensitivity of a diode-laser-based gas monitoring technique lies in moving detection to the mid-infrared region, where the absorption cross-sections are generally larger. With this motivation, difference frequency generation is presented, to produce radiation close to 3.5 µm which is then applied to a series of different enhanced spectroscopy techniques. The optimal sensitivity, of 32 ppb NO2 at 45 Torr total sample pressure, was achieved using wavelength modulation spectroscopy. The different techniques are compared and possible improvements to them are put forward. Finally, proof-of-principle work is presented seeking to combine the enhanced circulating power associated with the optical-feedback-locked techniques and non-linear optical techniques to move detection to a more favourable spectral region. Light close to 429 nm is generated by second harmonic generation in a crystal of potassium niobate, with resonance-enhancement afforded by a feedback V-cavity of the sort employed in OF-CEAS. The potential of such a system for diode-laser-based generation of blue and ultraviolet light is demonstrated and discussed, along with improvements that might be implemented to increase the efficiency of the system.

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