In this thesis, we studied radiation force of a femtosecond pulse train on cold rubidium atoms. Cooling of rubidium atoms is established by magneto-optic trap. We also studied theory of radiation force on atoms made by one femtosecond pulse train and two counter-propagating pulse trains. In case of two counter-propagating pulse trains we studied two cases of phase differences between pulses, case when pulses are in phase and when they are out of phase. Radiation force is measured for one femtosecond pulse train and for two counter-propagating pulse trains. In case of one pulse train measured radiation force matches theoretical model. In case of two pulse trains we made measurement in two configurations: ”in phase” and ”out of phase”. For ”out of phase” configuration, it is expected that there is no radiation force on atoms. For ”in phase” configuration, displacement of the cold atoms cloud center of mass is effect of femtosecond beams imbalance. We also measured spectral width of lasers that are used in experiment.
In this thesis, we studied radiation force of a femtosecond pulse train on cold rubidium atoms. Cooling of rubidium atoms is established by magneto-optic trap. We also studied theory of radiation force on atoms made by one femtosecond pulse train and two counter-propagating pulse trains. In case of two counter-propagating pulse trains we studied two cases of phase differences between pulses, case when pulses are in phase and when they are out of phase. Radiation force is measured for one femtosecond pulse train and for two counter-propagating pulse trains. In case of one pulse train measured radiation force matches theoretical model. In case of two pulse trains we made measurement in two configurations: ”in phase” and ”out of phase”. For ”out of phase” configuration, it is expected that there is no radiation force on atoms. For ”in phase” configuration, displacement of the cold atoms cloud center of mass is effect of femtosecond beams imbalance. We also measured spectral width of lasers that are used in experiment.
In this dissertation a cloud of cold rubidium atoms confined in a magnetooptical trap (MOT) has been realized. The laser cooling and trapping technique was implemented in the Laboratory for femtosecond frequency comb spectroscopy at Institute of Physics for the first time, so this work opens a new area of research. The cloud of cold atoms, containing ~ 10^9 87^Rb, F_g = 2, in volume ~ 3 mm3, density of ~ 1011 atom/cm3 in typical MOT operating conditions was obtained. Detailed characterization of the cloud has been done and the Doppler model for the real atomic system of rubidium 87 atoms was applied to describe the radiative force. The main focus of this work is investigation of the coherent continuous (cw) or pulsed (femtosecond) radiation effects on rubidium atoms in MOT. Atomic motion in the trap can be described with a damped harmonic oscillator model. A new technique for monitoring cold cloud center of mass oscillations induced by cw laser, tuned to rubidium resonant transition has been introduced. With this method the basic trap parameters, such are spring constant, damping coefficient and atom temperature are determined. For various trap working conditions an effective saturation intensity of 87^Rb D1 (F_g = 2 → F_e = 2) transition is, for the first time, determined through experimentally and theoretically investigated rubidium excited F_e = 2 state population depending on the probe beam intensity. Also, the radiative force of the probe D1 laser on cold cloud is measured and theoretically modelled. Interaction of cold rubidium cloud with femtosecond (fs) pulses has been studied in three different experimental configurations; interaction of cold atoms with single fs train of pulses, with two in-phase counterpropagating fs pulses and with two out-of-phase counterpropagating fs pulses. In all three described geometries the LIF signal and radiative force are experimentally determined and compared with theoretical model, based on optical Bloch equations (OBE) for two energy level atom.
In this thesis we studied coherent effects in a cold atomic gas of rubidium isotope 87Rb interacting with two lasers. A theoretical background on the interaction of two lasers with an atom in lambda configuration is presented. One of the lasers is a continuous-wave laser, while the other is a pulsed, femtosecond laser. Rubidium transitions 52S1/2(F = 1) → 52P3/2(F’ = 2) and 52S1/2(F = 2) → 52P3/2(F’ = 2) were chosen and used, as they correspond to a lambda configuration. Also presented is a short theory of laser cooling and trapping, which is used to make a cloud of cold rubidium atoms for the experiment of coherent effects. We explain the methods of frequency stabilization of continuous-wave and femtosecond lasers, needed for measurements of high precision. The results were acquired by measuring laser radiation force on a rubidium cloud, as well as by measuring laser induced fluorescence of the cloud interacting with the lasers. We compared the measurements to the theoretical predictions and they correspond very well to the numerical models. We conclude that the femtosecond laser is a very useful tool which can be used in the experiments focused on coherent effects, as well as continuous-wave lasers have been used.
We experimentally investigate the radiative force and laser-induced fluorescence (LIF) in cold rubidium atoms induced by pulse-train (frequency-comb) excitation. Three configurations are studied: (i) single-pulse-train excitation, (ii) two in-phase counterpropagating pulse trains, and (iii) two out-of-phase counterpropagating pulse trains. In all configurations, measured LIF is in agreement with calculations based on the optical Bloch equations. The observed forces in the first two configurations are in qualitative agreement with the model(s) used for calculating mechanical action of a pulse train on atoms; however, this is not the case for the third configuration. Possible resolution of the discrepancy is discussed.
In this thesis, cooling of 87Rb atoms using an optical frequency comb resulting from highly stabilized femtosecond laser radiation was studied. Cooling of atoms was obtained by driving 52S1/2 (F = 2) → 52P3/2 (F' = 3) first resonant electronic transition of 87Rb atom with the single frequency comb line. Temperature of the cold atoms was determined using the time of flight technique. Temperature measurements were performed for various polarization configurations of counter propagating femtosecond laser beams. Temperature dependence of magnetic field and time of interaction with femtosecond laser was also measured. Cooling down to sub-Doppler temperatures was observed, with lowest measured temperature of 66 μK. According to our knowledge, this represents first experimental realization of sub-Doppler temperatures using optical frequency comb. For comparation with standard laser cooling techniques based on continuous-wave lasers, measurements were repeated using continuous-wave laser instead frequency comb. Well agreed results confirmed possibility of frequency comb laser cooling of atoms. That opens up a number of new possibilities in laser cooling, such as laser cooling of atoms with first resonant transitions in ultraviolet/vacuum ultraviolet spectrum range, where continuous-wave radiation is unavailable.
This thesis describes theoretical and experimental work concerning radiation forces on atoms, with particular reference to rubidium atoms confined in a magneto-optical trap. After a short history of the field of laser cooling, a review of the semiclassical theory of mechanical interactions between two-level atoms and electromagnetic radiation is given. Different formulations of the semiclassical theory are discussed, including a new formulation in terms of momentum transfer amongst the plane wave modes of the electromagnetic field. Two important applications of light forces on atoms, namely 'optical molasses' and the 'magneto-optical trap', are then described with emphasis on experimental parameters. Three sub-Doppler cooling mechanisms, 'sisyphus cooling', 'motion-induced orientation cooling' and the 'magnetically-assisted sisyphus effect', are described and their role in optical molasses and the magneto-optical trap is discussed. A new study of the polarisation gradients which occur in 3-D monochromatic light fields is presented and quantifies their relative presence in different light field configurations. Polarisation gradient parameters are developed and shown to be directly related to the relativistic spin tensor of the light field. Implications of this polarisation gradient study for laser cooling work are discussed. The design, construction from scratch, operation and testing of a magneto-optical trap for rubidium are described, including novel designs for two vacuum cells. Preliminary experiments to characterise the trap are described and results are presented; they primarily concern the number and distribution of atoms in the trap. Finally. the theory of time domain spectroscopy is reviewed. The construction and testing of a pulsed dye laser for study of coherent transients in samples of laser-cooled atoms and a proposed experiment to measure the temperature of cold atoms using coherent transients are described. Factors expected to influence the shape of coherent transients in cold atoms are discussed.
Presented in this thesis are results of research on two topics in the field of cold atoms. These topics are connected by the fact they both employ laser induced forces caused by momentum transfer from photons to atoms. In both cases the laser induced forces change the velocity distribution of the atomic ensemble. In the first part of the thesis a new way to implement a synthetic Lorentz force into a cold atomic gas is presented. The synthetic Lorentz force (SLF) is based on radiation pressure and the Doppler effect, making it straightforward to implement in a large volume, for a broad range of velocities, and can be extended to different geometries. The force is perpendicular to the velocity of an atom, and zero for an atom at rest. This SFL is experimentally demonstrated in a system of cold rubidium atoms in two scenarios: first, by observing the center-of-mass motion of a cold atomic cloud and second, by observing the angular deflection of a rotationally asymmetrical cloud when released from a magneto-optical trap. The introduction of synthetic magnetism into the system of cold thermal atoms makes it an excellent candidate to emulate numerous complex classical systems, for example a tokamak fusion reactor or a star. In the second part of the thesis, the possibility of laser cooling with a frequency comb (FC) is explored. For this purpose a scheme for full stabilization of a fiber based FC that does not require traditional self-referencing is developed and implemented; the repetition frequency is locked to a stable microwave reference while the offset frequency is indirectly stabilized by referencing the frequency comb to a continuous wave laser that is stabilized by polarization spectroscopy in rubidium vapor. The FC stabilized in this way is used to cool rubidium atoms on a dipole-allowed transition at 780 nm to sub-Doppler temperatures. Temperatures as low as 55 μK were measured in a one-dimensional FC cooling geometry using the time-of-flight method. Laser cooling with FCs could enable achieving sub-Doppler temperatures for atoms with dipoleallowed transitions in the vacuum ultraviolet. This can significantly improve the precision of optical frequency standards, enable measurements of fundamental constants with unprecedented accuracy, and open up the possibility to reach quantum degeneracy with atoms that have optical transitions unreachable by continuous wave lasers such as hydrogen, deuterium and antihydrogen.