Cooperative effect in the radiation process has been studied in for more than half a century. It is important in the sense of both basic physics and applied science. In this work, we study the dynamics of the cooperative spontaneous emission from an ensemble of N atoms which is uniformly excited by absorbing a single photon. We reveal that there are two different regimes in which the system exhibits totally different behaviors. One of them is the superradiance type of behavior: the system decays much quicker than single atom decay, with a decay rate proportional to N(λ/R)2, where N is the atom numbers, R is the size of the atom cloud, and λ is the wavelength. We call it Markovian regime because the sytem does not persist memory effect. The other regime is called non-Markovian regime and the system oscillates with effective Rabi oscillation frequency while slowly decaying with a rate proportional to the photon escaping rate. The effective Rabi oscillation is a new type of dynamics which analogs well known Cavity QED behavior. Particularly in the Markovian regime, we study the system dynamics as a manybody eigenfunction and eigenvalue problem. For a dense cloud, we find analytical solutions for the eigenstates and corresponding eigenvalues, which can help to generally describe the system dynamics for any initial conditions in this regime. One of the applications is in atom microscopy. We propose a scheme to measure the distance between two atoms/molecules beyond diffraction limit. It covers the whole range from half the wavelength to sub-nanometers, utilizing both the atom localization technique and the collective frequency shift effect due to the cooperative effect in the radiation of the two atoms. Another application that we propose is to generate Coherent XUV radiation using Raman-type superradaince. We prove that intense short pulses of XUV radiation can be produced by Raman type superradiance from an ensemble of atoms/ions driven by visible or IR laser pulses.

Research Doctorate - Doctor of Philosophy (PhD) / Helium has the highest ionization energy of any species and is as a consequence difficult to detect by conventional means. On the other hand, it is the ideal surface probe, having no net charge or spin, a low mass and a short de Broglie wavelength. Therefore, there exists a strong incentive to develop a microscopy technique based on helium atom scattering. The purpose of this thesis is to investigate in detail how an efficient helium detector might be developed using the phenomenon of field ionization, an ionization method that relies on quantum mechanical tunneling rather than the more conventional electron impact ionization techniques. In particular, the work focusses on the potential use of a novel nanomaterial, carbon nanotubes, as the source of the high electric fields required for field ionization detection. In Chapter 1 we review the history of field ionization research and the properties and synthesis methods for carbon nanotubes. Chapter 2 describes the experimental apparatus and procedures used for the present research, and Chapter 3 introduces the theoretical framework and background for field ionization. In Chapter 4, the prototypical field ionization system is considered from a detector viewpoint. The work demonstrates that existing theory is not sufficiently quantitative for describing a field ionization detector and therefore a semi-empirical theory is advanced for that purpose. Chapter 5 considers the problem of nanotube field enhancement in detail using computational methods, leading to a complete description of the maximum field enhancement of a nanotube array based on the four fundamental array parameters. Efforts to synthesize carbon nanotubes in the Newcastle plasma-enhanced chemical vapor deposition system are described in Chapter 6. Several procedures are developed for reproducible growth of nanotube films and the chemical vapor deposition system is characterized with single parameter studies. Chapter 7 presents the results of electron field emission and helium field ionization experiments carried out using the grown nanotube films. We demonstrate for the first time the field ionization of helium using a planar film of carbon nanotubes. Finally, we conclude the investigation of field ionization detection in Chapter 8 with a discussion on how such a detection method integrates into a helium microscope and in particular we detail the design and initial calculations for the planned Newcastle helium microscope.