No description available.

L’étude comparée des réactions de formation de paires d’ions et de simple photoionisation de la molécule NO2 induites par rayonnement synchrotron (RS) d’une part et par impulsions laser femtosecondes (fs) d’autre part, démontre le rôle remarquable de l’excitation résonante d’états de Rydberg dans la dynamique électronique et nucléaire induite. Trois réactions principales, la photoionisation non dissociative (NO2+ (X 1Σ+g) + e), la photoionisation dissociative (NO+ (X 1Σ+) + O(3P) + e) et la formation de paires d'ions, (NO+ (X 1Σ+) + O- (2P)), ont été caractérisées en utilisant la méthode des corrélations vectorielles ou spectroscopie en coïncidence des impulsions du photoélectron et des photoions, auprès des sources RS (SOLEIL, DESIRS) et lasers fs (CEA, Saclay), respectivement. Le diagramme de corrélation des énergies cinétiques électron-ion, première observable issue de ces mesures, met en évidence un partage de l’énergie en excès entre noyaux et électrons qui dépend fortement du mode d’excitation photonique. Les déviations significatives observées par rapport aux profils d’ionisation de type Franck Condon sont attribuées à des couplages vibroniques entre états excités NO2*, tels que ceux induits par une intersection conique. Les chemins réactionnels identifiés confirment le rôle de l’excitation des séries de Rydberg [R*(6a1)-1] et [R*(4b2)-1] intervenant comme états intermédiaires dans l’excitation multiphotonique ou dans le continuum d’ionisation exploré. Une étude complémentaire par spectroscopie à haute résolution des états [R*(6a1)-1] a été mise en œuvre (UBC, Vancouver).Pour une réaction de photoionisation dissociative (PID), l’observable la plus complète est la distribution angulaire des photoélectrons dans le référentiel lié à la vitesse de recul de l’ion fragment (RFPAD) déduite de la mesure de la corrélation vectorielle (Vi, Ve, P). Afin d’accéder aux éléments de matrice dipolaire décrivant la photoionisation de l’état électronique considéré, le formalisme développé en collaboration avec R. R. Lucchese (Texas A&M) décrivant la photoémission dans le référentiel moléculaire pour la simple PID d'une molécule linéaire par excitation à un photon, a été étendu à l'étude des réactions de PID par excitation multiphotonique d'une molécule polyatomique, telle que la molécule NO2 de symétrie C2v. L’analyse multivariée de la RFPAD multiphotonique proposée constitue une stratégie fructueuse en vue d’extraire l’information optimale sur la dynamique complexe de photoionisation et de réaliser une comparaison détaillée entre les résultats expérimentaux et les calculs de photoionisation des états excités de la molécule. / The comparative study of ion pair formation and simple photoionization of the NO2 molecule induced by synchrotron radiation (SR) on the one hand and by femtosecond (fs) pulses on the other hand reveals the remarkable role of Rydberg states in the induced electronic and nuclear dynamics. Three main reactions, namely (NO2+ (X 1Σ+g) + e) non dissociative photoionization, (NO+ (X 1Σ+) + O(3P) + e) dissociative photoionization and (NO+ (X 1Σ+) + O- (2P)) ion pair formation have been characterized using the vector correlation method, or photoion and photoelectron coincidence momentum spectroscopy, at SR sources (SOLEIL DESIRS) and at fs laser platforms (CEA, Saclay), respectively. The electron-ion kinetic energy correlation diagram, which is the first observable obtained from these measurements, highlights the excess energy sharing among nuclei and electrons, which strongly depends on the photon excitation mode. The observed remarkable deviations from Franck Condon ionization profiles are attributed to vibronic couplings such as those induced at a conical intersection. The identified reaction pathways confirm the role of the [R*(6a1)-1] and [R*(4b2)-1] Rydberg series excitation as stepping states in multiphoton excitation or in the explored ionization continua. A complementary study of high resolution spectroscopy of [R*(6a1)-1] Rydberg series has been performed (UBC, Vancouver). For a dissociative photoionization (DPI) process, the most complete observable is the photoelectron angular distribution in the reference frame attached to the recoil ion fragment velocity (RFPAD) deduced from the measured (Vi, Ve, P) vector correlation. In order to get access to the dipole matrix elements describing photoionization of the considered excited electronic state, the formalism developed in collaboration with R. R. Lucchese (Texas A&M) describing molecular frame photoemission for a DPI of a linear molecule by one-photon excitation has been extended to the study of DPI processes induced by multiphoton excitation for a polyatomic molecule, such as the NO2 molecule of C2v symmetry. The proposed multivariate analysis of the multiphoton RFPAD constitutes a successful strategy to extract the optimal information on the complex photoionization dynamics and to perform a detailed comparison between experimental results and calculations of photoionization of the molecular excited states.

No description available.

Experimental and theoretical investigations of highly-excited molecules are presented that advance the current state of knowledge of intramolecular interactions in highly-excited molecular states. A quantitative analysis of intramolecular interactions in excited hydrogen fluoride is presented, in which the rotational levels of the B singlet-Sigma+, v = 29 vibronic level are shown to mix with the corresponding e-parity components of the C singlet-Pi, v = 0 level. Extrapolating the experimentally-derived mixing parameter to the unperturbed limit reveals an unperturbed value of the aF hyperfine parameter of 4132(25) MHz. Coupling energies between the ion-pair curve and long-range asymptotes of covalent states are calculated for a large number of alkali–alkali collision channels, revealing the dependence on the internuclear distance at which the crossing takes place and forming a foundational step for the calculation of cross-sections and rate coefficients for different charge-exchange and other processes. To advance the experimental investigation of these systems, optical instrumentation and associated control systems have been designed and constructed for cooling and trapping lithium in preparation for experimental studies of cold-collisions that will be informed by, and ultimately a test of, some of these calculated ionic–covalent coupling energies. A novel scheme for systematic optimization of peak-locking has been developed and implemented, providing a rigorous assessment of the optimal experimental parameters. A side-of-filter offset-locking scheme was implemented, characterizing and correcting for a previously unexplained offset in the error-signal. A novel calibrated polarimetry scheme is demonstrated, correcting for the primary sources of uncertainty relating to manufacturing tolerances and experimental errors. The calibrated set of polarization measurements is used to examine the purity of the optical polarization state in the light sources to be used for trapping lithium. / Thesis (Ph.D, Physics, Engineering Physics and Astronomy) -- Queen's University, 2012-01-31 11:30:22.479

Thesis (Ph. D.)--Physics, Georgia Institute of Technology, 2008. / Committee Chair: Uzer, Turgay; Committee Member: Aral, Mustafa; Committee Member: Flannery, Raymond; Committee Member: Raman, Chandra; Committee Member: Schatz, Michael.

Since the development of the understanding that the electron distribution within a molecule is chiefly responsible for its properties and behavior, factors influencing this charge distribution have been of interest to scientists. The chemical reactivity of a molecule, the physical properties, and to a large extent, structure and geometry, are all functions of the electron distribution. This study examines the issue of electronic structure from two points of view, each of them focussing on a specific component within the molecules studied. In the present work, the effects of the highly polar carbonyl group on spectroscopic parameters and physical behavior are investigated. An additional area of study is the effect of fluorine substitution on the energy levels of some halogenated ethylenes. The specific parameters examined are the ionization potentials, the absorption frequencies, and the energies of a class of excited states known as molecular Rydberg states. It was during the study of these halogenated ethylenes that the observations leading to the carbonyl compound investigations were made, so that the two areas examined are connected both experimentally and chemically.

The past three decades have seen extraordinary progress in the manipulation of neutral atoms with laser light, to the point where it is now routine to trap and cool both individual atoms and entire atomic clouds to temperatures of only a few tens of nanoKelvin in a controlled and repeatable fashion. In this thesis we study several applications of Rydberg atoms - atoms with an electron in a highly excited state - within such ultracold atomic systems. Due to their highly-excited electron, Rydberg atoms have a number of exaggerated properties: in addition to being physically large, they have long radiative lifetimes, and interact strongly both with one another and with applied external fields. Rydberg atoms consequently find many interesting applications within ultracold atomic physics. We begin this thesis by analysing the way in which a rubidium atom prepared in an excited Rydberg state decays to the ground state. Using quantum defect theory to model the wavefunction of the excited electron, we compute branching ratios for the various decay channels that lead out of the Rydberg states of rubidium. By using these results to carry out detailed simulations of the radiative cascade process, we show that the dynamics of spontaneous emission from Rydberg states cannot be adequately described by a truncated atomic level structure. We then investigate the stability of ultra-large diatomic molecules formed by pairs of Rydberg atoms. Using quantum defect theory to model the electronic wavefunctions, we apply molecular integral techniques to calculate the equilibrium distance and binding energy of these molecular Rydberg states. Our results indicate that these Ryberg macro-dimers are predicted to show a potential minimum, with equilibrium distances of up to several hundred nanometres. In the second half of this thesis, we present a new method of symbolically evaluating functions of matrices. This method, which we term the method of path-sums, has applications to the simulation of strongly-correlated many-body Rydberg systems, and is based on the combination of a mapping between matrix multiplications and walks on weighted directed graphs with a universal result on the structure of such walks. After presenting and proving this universal graph theoretic result, we develop the path-sum approach to matrix functions. We discuss the application of path-sums to the simulation of strongly-correlated many-body quantum systems, and indicate future directions for the method.

No description available.

Theoretical investigation of the dynamics of adiabatic quantum mechanics in two different, highly polar systems has been made. The systems were chosen for their fundamental scientific interest, as they represent atoms and molecules with exaggerated properties, as well as ease of experimental study as such highly polar systems are easier to manipulate using readily-available electric fields. A model two-level system is used to derive one approach for maximizing the probability of adiabatic passage through an avoided crossing and this is compared with the classic Landau-Zener result, and the commonly encountered spin-flip problem of a particle with spin located in a rotating magnetic field. This approach is applied to the avoided crossing between the n = 13, n1 − n2 = 11 (dipole moment of 532 D) and the n = 14, n1 − n2 = −12 (dipole moment of -657 D) highly polar Stark states of the lithium atom at 447 kV/m. Ion-pair formation from two neutral lithium atoms, one in the 2s ground state and the other in an excited state, is also investigated. The cross section σ(v) for free ion-pairs is calculated for the initial colliding pairs of atomic states located below the ion-pair threshold. Li(2s) + Li(3d) is seen to possess the largest cross section (σ(v0) = 569.2 a.u.) at its threshold velocity. The implications of this for bound ion-pair, i.e. heavy Rydberg system, production are briefly discussed. Furthermore, experimental progress towards the production of these atomic and molecular systems from a beam of lithium is presented. / Thesis (Master, Physics, Engineering Physics and Astronomy) -- Queen's University, 2009-12-09 16:49:41.184

Many seemingly simple systems can display extraordinarily complex dynamics which has been studied and uncovered through nonlinear dynamical theory. The leitmotif of this thesis is changing phase-space structures and their (linear or nonlinear) stabilities by adding control functions (which act on the system as external perturbations) to the relevant Hamiltonians. These phase-space structures may be periodic orbits, invariant tori or their stable and unstable manifolds. One-electron systems and diatomic molecules are fundamental and important staging ground for new discoveries in nonlinear dynamics. In past years, increasing emphasis and effort has been put on the control or manipulation of these systems. Recent developments of nonlinear dynamical tools can provide efficient ways of doing so. In the first subtopic of the thesis, we are adding a control function to restore tori at prescribed locations in phase space. In the remainder of the thesis, a control function with parameters is used to change the linear stability of the periodic orbits which govern the processes in question. In this thesis, we report our theoretical analyses on multiphoton ionization of Rydberg atoms exposed to strong microwave fields and the dissociation of diatomic molecules exposed to bichromatic lasers using nonlinear dynamical tools. This thesis is composed of three subtopics. In the first subtopic, we employ local control theory to reduce the stochastic ionization of hydrogen atom in a strong microwave field by adding a relatively small control term to the original Hamiltonian. In the second subtopic, we perform periodic orbit analysis to investigate multiphoton ionization driven by a bichromatic microwave field. Our results show quantitative and qualitative agreement with previous studies, and hence identify the mechanism through which short periodic orbits organize the dynamics in multiphoton ionization. In addition, we achieve substantial time savings with this approach. In the third subtopic we extend our periodic orbit analysis to the dissociation of diatomic molecules driven by a bichromatic laser. In this problem, our results based on periodic orbit analysis again show good agreement with previous work, and hence promise more potential applications of this approach in molecular physics.