Dynamics of Bose-Einstein condensates in double-well potentials

We study the dynamics of Bose-Einstein condensates in symmetric double-well potentials following a sudden change of the potential from the Mott-insulator to the superfluid regime. We introduce a continuum approximation that maps that problem onto the wave-packet dynamics of a particle in an anharmonic effective potential. For repulsive two-body interactions the visibility of interference fringes that result from the superposition of the two condensates following a stage of ballistic expansion exhibits a collapse of coherent oscillations onto a background value whose magnitude depends on the amount of squeezing of the initial state. Strong attractive interactions are found to stabilize the relative number dynamics. We visualize the dynamics of the system in phase space using a quasiprobability distribution that allows for an intuitive interpretation of the various types of dynamics.

Coherence dynamics of two-mode condensates in asymmetric potentials

Detection of weak forces with an accuracy beyond the standard quantum limit holds promise both for fundamental research and for technological applications. Schemes involving ultracold atoms for such measurements are now considered to be prime candidates for increased sensitivity. In this paper we use a combination of analytical and numerical techniques to investigate the possible subshot-noise estimation of applied force fields through detection of coherence dynamics of Bose-condensed atoms in asymmetric double-well traps. Following a semiclassical description of the system dynamics and fringe visibility, we present numerical simulations of the full quantum dynamics that demonstrate the dynamical production of phase squeezing beyond the standard quantum limit. Nonlinear interactions are found to limit the achievable amount to a finite value determined by the external weak force.

Single-mode acceleration of matter waves in circular waveguides

Ultracold gases in ring geometries hold promise for significant improvements of gyroscopic sensitivity. Recent experiments have realized atomic and molecular storage rings with radii in the centimeter range, sizes whose practical use in inertial sensors requires velocities significantly in excess of typical recoil velocities. We use a combination of analytical and numerical techniques to study the coherent acceleration of matter waves in circular waveguides, with particular emphasis on its impact on single-mode propagation. In the simplest case we find that single-mode propagation is best maintained by the application of time-dependent acceleration force with the temporal profile of a Blackmann pulse. We also assess the impact of classical noise on the acceleration process.

Thomas-Fermi ground state of dipolar fermions in a circular storage ring

Recent developments in the field of ultracold gases has led to the production of degenerate samples of polar molecules. These have large static electric-dipole moments, which in turn causes the molecules to interact strongly. We investigate the interaction of polar particles in waveguide geometries subject to an applied polarizing field. For circular waveguides, tilting the direction of the polarizing field creates a periodic inhomogeneity of the interparticle interaction. We explore the consequences of geometry and interaction for stability of the ground state within the Thomas-Fermi model. Certain combinations of tilt angles and interaction strengths are found to preclude the existence of a stable Thomas-Fermi ground state. The system is shown to exhibit different behavior for quasi-one-dimensional and three-dimensional trapping geometries.

Bifurcations and bistability in cavity-assisted photoassociation of Bose-Einstein-condensed molecules

We study the photoassociation of Bose-Einstein condensed atoms into molecules using an optical cavity field. The driven cavity field introduces a dynamical degree of freedom into the photoassociation process, whose role in determining the stationary behavior has not previously been considered. The semiclassical stationary solutions for the atom and molecules as well as the intracavity field are found and their stability and scaling properties are determined in terms of experimentally controllable parameters including driving amplitude of the cavity and the nonlinear interactions between atoms and molecules. For weak cavity driving, we find a bifurcation in the atom and molecule number occurs that signals a transition from a stable steady state to nonlinear Rabi oscillations. For a strongly driven cavity, there exists bistability in the atom and molecule number.

Quantum control of electromagnetically induced transparency dispersion via atomic tunneling in a double-well Bose-Einstein condensate

Electromagnetically induced transparency (EIT) is an important tool for controlling light propagation and nonlinear wave mixing in atomic gases with potential applications ranging from quantum computing to table top tests of general relativity. Here we consider EIT in an atomic Bose-Einstein condensate (BEC) trapped in a double-well potential. A weak probe laser propagates through one of the wells and interacts with atoms in a three-level Lambda configuration. The well through which the probe propagates is dressed by a strong control laser with Rabi frequency Omega(mu), as in standard EIT systems. Tunneling between the wells at the frequency g provides a coherent coupling between identical electronic states in the two wells, which leads to the formation of interwell dressed states. The macroscopic interwell coherence of the BEC wave function results in the formation of two ultranarrow absorption resonances for the probe field that are inside of the ordinary EIT transparency window. We show that these new resonances can be interpreted in terms of the interwell dressed states and the formation of a type of dark state involving the control laser and the interwell tunneling. To either side of these ultranarrow resonances there is normal dispersion with very large slope controlled by g. We discuss prospects for observing these ultranarrow resonances and the corresponding regions of high dispersion experimentally.

Gravitational self-localization for spherical masses

In this work, I consider the center-of-mass wave function for a homogenous sphere under the influence of the self-interaction due to Newtonian gravity. I solve for the ground state numerically and calculate the average radius as a measure of its size. For small masses, M≲10−17 kg, the radial size is independent of density, and the ground state extends beyond the extent of the sphere. For masses larger than this, the ground state is contained within the sphere and to a good approximation given by the solution for an effective radial harmonic-oscillator potential. This work thus determines the limits of applicability of the point-mass Newton Schrödinger equations for spherical masses. In addition, I calculate the fringe visibility for matter-wave interferometry and find that in the low-mass case, interferometry can in principle be performed, whereas for the latter case, it becomes impossible. Based on this, I discuss this transition as a possible boundary for the quantum-classical crossover, independent of the usually evoked environmental decoherence. The two regimes meet at sphere sizes R≈10−7 m, and the density of the material causes only minor variations in this value.

Optical Characterization and Optimization of Display Components : Some Applications to Liquid-Crystal-Based and Electrochromics-Based Devices

This dissertation is focused on theoretical and experimental studies of optical properties of materials and multilayer structures composing liquid crystal displays (LCDs) and electrochromic (EC) devices. By applying spectroscopic ellipsometry, we have determined the optical constants of thin films of electrochromic tungsten oxide (WOx) and nickel oxide (NiOy), the films’ thickness and roughness. These films, which were obtained at spattering conditions possess high transmittance that is important for achieving good visibility and high contrast in an EC device. Another application of the general spectroscopic ellipsometry relates to the study of a photo-alignment layer of a mixture of azo-dyes SD-1 and SDA-2. We have found the optical constants of this mixture before and after illuminating it by polarized UV light. The results obtained confirm the diffusion model to explain the formation of the photo-induced order in azo-dye films. We have developed new techniques for fast characterization of twisted nematic LC cells in transmissive and reflective modes. Our techniques are based on the characteristics functions that we have introduced for determination of parameters of non-uniform birefringent media. These characteristic functions are found by simple procedures and can be utilised for simultaneous determination of retardation, its wavelength dispersion, and twist angle, as well as for solving associated optimization problems. Cholesteric LCD that possesses some unique properties, such as bistability and good selective scattering, however, has a disadvantage – relatively high driving voltage (tens of volts). The way we propose to reduce the driving voltage consists of applying a stack of thin (~1µm) LC layers. We have studied the ability of a layer of a surface stabilized ferroelectric liquid crystal coupled with several retardation plates for birefringent color generation. We have demonstrated that in order to accomplish good color characteristics and high brightness of the display, one or two retardation plates are sufficient.

Ela é carioca: um estudo da imagem da cidade do Rio de Janeiro sob o ponto de vista de cidadãos não-cariocas

The study it was considered to carry through an analysis of the city of Rio de Janeiro using the point of view of not Carioca citizens - in this case Baianos and Paulistas. The optics chosen for the analysis was the image, that is the resultant of aspects such as: mental ideas, feelings, emotions, attitudes, thoughts, cognitions, expectations, representations, perceptions, certainties and associations. A research with qualitative focus was carried through, of exploratory character, with not Carioca individuals, Baianos and Paulistas, with and without experience in Rio de Janeiro. The results point the main reason of the visit - or not - to Rio de Janeiro, the symbol of the city, the perception concerning its image and about its inhabitant - the Carioca.

Meios de comunicação de massa e aparato policial: a ação da mídia em questões de segurança pública

O presente estudo foi concebido com o intuito de levantar e compilar informações, do ponto de vista conceitual, para a fundamentação da crítica quanto à influência e interferência dos meios de comunicação de massa nos assuntos de segurança pública, uma dupla temática real, mas não problematizada. Abordam-se os aspectos relativos ao histórico da instituição policial e sua estrutura permanente em contextos diferenciados, bem como a premência por um modelo que melhor se adapte ao sistema democrático, ao Estado de Direito. Enfocam-se questões referentes à visão dos meios de comunicação enquanto agentes econômicos e políticos, à liberdade de imprensa, às responsabilidades da mídia e à ética na comunicação. Constata-se, na pesquisa, que a conjunção dos temas 'meios de comunicação e aparato policial' carece de tratamento sistematizado, no meio literário, acadêmico. Busca-se, portanto, trazê-la à discussão, considerando o poder adquirido pela mídia nos últimos tempos e sua penetração na dinâmica social e no próprio aparato policial. Evidencia-se, ainda, a resultante dessa relação para o trato dos assuntos de segurança pública, relegados ao plano comercial da notícia e tratados sob a ótica de mercadoria com potencial gerador de altos índices de audiência.

Perspectivas Acadêmicas em São Luís: A Aproximação entre o Estudo do Turismo e a Ciência da Administração

This is a master's degree dissertation that has for main objective analyzes the relationship among the areas of the knowledge, tourism and administration, under the optics of contributions in different instances, establishing analogies and reflections, tends as empiric field, the case of the municipal district of São Luís, in Maranhão State. It approaches the epistemology analysis of the tourist phenomenon discussing the employed speeches, faiths, myths, dependence, virtues and sins in the interpretation of the study. It points subjects related to the context of higher education in tourism, establishing connections with the management in a theoretical atmosphere, demonstrating the roads of evolution of the study, as well as, it permeates on analogies and reflections with tourism. It questions on the current scenery of degree courses in tourism, making connections with beginnings management studies. The proposed study, characterized as descriptive-explanatory of object, it bases on model Tourism Education Quality (TEDQUAL) near from objectives, to involve researches - documental and a field - accomplished in the years of 2005 and 2006. As sample for quotas, accomplished four universities, to presents results the expectations of analyzed subjects (students, profesionals, employers and educators) on the group of hypotheses. That spectrum of results makes possible reflections and proposed based in analysis on perspectives in superior tourism education. The research was limited the studied area and chosen sample it intends to be a tool to show the reality found in those courses, could address academic researches and practical actions developed by the education managers.

Fusões, aquisições estratégicas, e capacidades tecnológicas inovadoras: evidências da indústria de telecomunicações multinacional

This dissertation studies the innovative technological capabilities available in the merger and acquisitions processes and the relationship between these processes with the technological capabilities accumulation to get convergence of technology and services. This study was examined in fourteen companies of the telecommunications industry during 2002 to 2007. Starting on 1990 there were from one end a profusion of studies on the technological capabilities as source of competitive advantages; from another end there are studies on merger and acquisitions with the objective to evaluate the motivations derived from technological factors and stimulation to the competition and the opening of the market. However few of the empirical studies of long stated period that examine the correlation of these events in the industry of telecommunications under the optics of the technological qualification in the level of the companies and for the strategic perspective of enterprise based on the dynamics abilities. An analytical framework already available in the literature was used to describe the contribution of the merger and acquisitions processes for the accumulation of innovative technological capabilities in the studied companies. However the framework was adapted specifically for the industry of Telecommunications. This dissertation also studies the importance of the strategic merger and acquisitions as organizational form in the complementation of technological capability for external sources. Such empirical evidences had been collected from information and data bases published for the own companies who had been examined in this dissertation. Regarding the results, it was found that: 1. In terms of participation with ingress technological capabilities in strategic merger and acquisitions the equipment manufacturers had entered with 71% to 55 of the technological capabilities and the service operator company had entered with 61% to 71 technological capabilities. 2. In terms of implications of the merger and acquisitions for the configuration of resultant technologic capabilities, it was found that the equipment manufacturers had increased 31% the ratio of convergence of technology and the operators of services had increased 4% the ratio for the change in the organizational structure. 3. Regarding the accumulation technological capability to obtain convergence of technology and services was verified the increase these technological capabilities after the merger and acquisitions process in the companies studied. Considering the limitation of this study, the evidences found in this dissertation suggest that the companies use the processes of strategic merger and acquisitions to search for external complementation of their knowledge base to compete in the globalization market. The result demonstrates that this movement has implied in an alteration and accumulation of capability from organization on innovative technological activities regarding the convergence of technology and services.