Background: Impaired proprioception has been reported in patients with neck pain. The most common way to assess proprioception is the testing of joint position sense. Researchers usually uses advanced technical equipment. Laser pointer tests have been described for testing global joint position sense against two-dimensional targets, which can also be used clinically. One-dimensional targets can provide accurate information about deviations in the current motion plane and allow easy calculation of a number of additional output variables. Objectives: Evaluate test-retest reliability of a new clinical test using laser pointer and a one-dimensional target for assessment of cervical joint position sense. Design: Cross-sectional test-retest reliability study. Method:The study included 56 individuals, 30 healthy controls and 26 with neck pain were tested at two occasions 6-8 days apart. Calculation of the reliability was done by analysing relative, ICC, and absolute, SEM, reliability. Results: The results were relatively scattered but showed an overall moderatereliability with an ICC between 0,51-0,73, but in some cases a poor reliability under 0,5 except for two measures that showed good reliability over 0,77.The SEM for total group were between 0,72°-2,87°, indicating a relatively high level.  Conclusions: Current research demonstrates an overall moderate reliability testing JPS with a laser pointer and a one-dimensional target.

Made available in DSpace on 2014-12-17T15:12:13Z (GMT). No. of bitstreams: 1 CiceroLLB_DISSERT.pdf: 3594886 bytes, checksum: a028e0b0ef663c934384519bd267780d (MD5) Previous issue date: 2010-10-28 / This dissertation addresses the issue of technology in the work of Herbert Marcuse, explaning the merger between technology and domination that result in a totalitarian technological apparatus. Thus, technological civilization is supported and justified by a rational technological apparatus in the society, we have come not only the philosophy of Marcuse, but other great thinkers too, like Heidegger, Hegel, Marx. We also present a debate involving the philosophy of science, logic and linguage. Marcuse points to the need for a new technological rationality that emerge from a new sensibility, where the technique would allow a new relationship between man and nature. From then on, would emerge the need for a new subject. This transition would be possible by means of sensitivity, where art would become the art of live. With the link between art and technique made possible by new sensitivity, the author leaves one of its main contribution: he leaves open the possibility for the subject to choose new targests for technological development / Este trabalho trata da quest?o da tecnologia no pensamento de Herbert Marcuse, explicitando de que modo a fus?o entre tecnologia e domina??o resulta num aparato tecnol?gico totalit?rio. Desse modo, trata-se de analisar em que medida a civiliza??o tecnol?gica ? sustentada e justificada por uma racionalidade tecnol?gica que lhe serve como for?a de ajuste, causando uma paralisia da cr?tica. Ao analisar o aparato tecnol?gico na sociedade administrada percorremos n?o somente o pensamento filos?fico de Marcuse, mas tamb?m de outros grandes pensadores, tais como Heidegger, Hegel, Marx, al?m de um debate sobre a filosofia da ci?ncia e da l?gica lingu?stica. O autor aponta para a necessidade de uma nova racionalidade tecnol?gica que aconteceria por meio de uma nova sensibilidade onde a t?cnica possibilitaria uma nova rela??o do homem com a natureza. Para tanto, faz-se necess?rio a emerg?ncia de um novo sujeito. Esta transi??o seria poss?vel por meio da sensibilidade, pela qual a arte se converteria em arte da vida. Com a vincula??o entre arte e t?cnica, possibilitada pela nova sensibilidade, o autor concede-nos umas das suas principais contribui??es, qual seja: deixar em aberto a possibilidade de uma nova meta

Estudamos as propriedades eletrônicas de dois sistemas quase-unidimensionais distintos, resolvendo autoconsistentemente as equações de Schrödinger e Poisson.O método usado para calcular a estrutura eletrônica deste sistema e baseada na solução da equação de Schrödinger dependente do tempo usando a técnica do Split-Operator. No primeiro sistema estudamos os efeitos da corrugação periódica da interface da estrutura n-AlxGa1-xAs/GaAs na densidade eletrônica ao longo desta interface. A forma geométrica desta interface e do tipo dente de serra. Nas camadas de inversão convencionais, os elétrons estão distribuídos uniformemente ao longo da interface plana da heteroestrutura, mas devido à forma dente de serra desta estrutura, os elétrons se distribuem de maneira não uniforme ao longo da interface, produzindo um gás de elétrons quase-unidimensional. A estrutura que investigamos possui um período de 806 ANGSTROM e uma densidade residual uniforme de impurezas aceitadoras da ordem de 1015 cm-3. Calculamos a estrutura eletrônica do gás de elétrons unidimensional confinado na interface corrugada em função da voltagem aplicada ao gate, da densidade de impurezas doadoras e da temperatura. Os resultados obtidos para a densidade eletrônica mostram que, dependendo da densidade de impurezas doadoras, haverá formação de u gás de elétrons quase-unidimensional nos vértices da estrutura dente de serra. O segundo sistema que estudamos é constituído por um gás de elétrons bidimensional, formado na interface de uma camada de Al1-xGa1-xAs com uma camada de GaAs, sobre a qual, temos uma estrutura periódica de \"gates\". Aplicando-se uma voltagem negativa sobre os \"gates\" teremos a formação de fios quânticos nas regiões entre os \"gates\". Neste sistema observamos a transição de um sistema quase-bidimensional para um quase-unidimensional. Investigamos suas propriedades eletrônicas em funçãoo da temperatura, da voltagem aplicada aos \"gates\" e da densidade de impurezas doadoras. / We have studied the electronic properties of two different quasi-one-dimensional systems solving self-consistently the Schrödinger and Poisson equation. The method we use to calculate the electronic levels is based on the solution of the time-dependent Schrödinger equation using the split-operator technique. In the first system we have studied, we present a theoretical calculation of the electronic structure of v-groove quantum wires confined in modulation-doped n-AlxGa1-xAs/GaAs. The system investigated is saw tooth corrugated by bendings with period of 850 ANGSTROM. Results of the electronic structure are obtained as a function of the gate voltage and the donor impurity density. The electronic density shows the existence of a quasi one-dimensional electron gas. The second system studied here is composed by a two-dimensional electron gas confined at the interface of an Al1-xGa1-xAs/GaAs heterostructure, on top of which there is a periodic structure of gates. When a negative voltage is applied to the gates, the regions at the interface beneath them are depleted and quantum wires are formed. We have calculated the electronic structure of subband of that system. We investigated the electronic properties of the quantum wires as a function of gate voltage, from which we determine the threshold between the 2D and ID transitions, the temperature and the ionized donor density.

Propriedades dinâmicas de sistemas quânticos de muitos corpos é um tópico de grande interesse em física da matéria condensada. Estas propriedades nos dão informação sobre a propagação de excitações elementares e de mecanismos de relaxação em sistemas interagentes. Neste contexto, as funções de correlação tem se tornado ainda mais relevantes devido a experimentos em sistemas de átomos frios e íons armadilhados que medem diretamente no domínio temporal os comportamentos assintóticos no tempo. No entanto, até o momento a maioria dos estudos em cadeias de spin quânticas focaram-se em correlações de um único spin. Utilizando a cadeia de spin XX unidimensional, nós estudamos métodos exatos para calcular as funções de correlação das componentes do tensor de dois spins, Tabi,j = SaiSbj. Estes operadores aparecem, por exemplo, como a resposta da seção de choque de espalhamento inelástico de raios X. Baseados no teorema de Wick, nós mostramos que algumas funções de correlação das componentes locais do tensor de dois operadores de spins de sítios vizinhos, na representação de férmions, podem ser escritas como uma combinação de funções de Green de uma única partícula. Utilizamos diagramas de Feynman para organizar esta combinação e calcular as funções de correlação. Em seguida, considerando esses propagadores para tempos longos e grandes distâncias ao longo do cone de luz, encontramos o comportamento dessas funções de correlação como leis de potência oscilatórias que decaem com o tempo e distância. Uma aplicação direta das funções de correlação é para o estudo de quantidades conservadas e não conservadas, uma análise sobre algumas dessas quantidades foi feita. Discutimos também as funções de correlação das componentes do tensor que não são locais na representação fermiônica. Nesse caso os cálculos foram mais desafiadores, mas usamos o fato que funções de correlação dependente do tempo podem ser expressadas em termos dos determinantes de Fredholm. / Dynamical properties of quantum many body systems is a major topic of interest in condensed matter physics. These properties tell us about the propagation of elementary excitation and mechanisms of relaxation in interacting systems. In this context correlation functions have became even more relevant due the experiments in systems of cold atoms and trapped ions that measure real time dependence directly out to relatively long times. However, most studies in quantum spins chains so far have focused on correlations of single spins. Using the one dimensional XX spin chain, we study exact methods to calculate the correlation functions of the components of the tensor operator involving two spins, Tabi,j = SaiSbj. This operator appear, for example, as a response of inelastic x-ray scattering cross section. Based on Wick\'s theorem, we show that some correlation functions of local components of the tensor operator of two pairs of neighbor sites, in the fermion space, can be written as a combination of Greens functions of a single particle. We have used Feynman diagrams to organize this combination and calculate the correlation functions. Then, considering these propagators for long times and large distances along the light cone, we found the behavior of these correlation functions as a oscillatory and power law decay on time. A direct application of correlation functions is to study conserved and non-conserved quantities, and such analysis has been made. We also considered other two-spin operators which are not local in the fermionic representation. In this case the calculation is more challenging, but the time-dependent correlation functions can be expressed in terms of Fredholm determinants.

Os problemas de corte de estoque consistem em cortar um conjunto de objetos dispon´veis em estoque para produzir um conjunto de itens em quantidades e tamanhos especificados, de modo a otimizar uma fun¸cao objetivo. Tais problemas tem in´umeras aplica¸coes industriais e tem sido bastante estudados na literatura. Tipicamente, problemas de corte tem como principal objetivo a minimiza¸cao das sobras. Entretanto, como a qualidade dos padroes de corte depende diretamente dos tamanhos e quantidades dos itens a serem produzidos, nesta tese, consideramos que se a demanda presente gerar sobras indesej´aveis (nem tao grandes para serem aproveit´aveis, nem tao pequenas para serem perdas aceit´aveis), entao conv´em gerar retalhos (nao comput´aveis como perda) que serao utilizados para produzir itens de demandas futuras. Desta forma, algumas caracter´sticas desej´aveis para uma boa solu¸cao sao definidas e altera¸coes em m´etodos heur´sticos cl´assicos sao apresentadas, de modo que os padroes de corte com sobras indesej´aveis sao alterados. Para os problemas de corte unidimensionais, desenvolvemos procedimentos heur´sticos que consideram o aproveitamento de sobras, mantendo como o principal objetivo a minimiza ¸cao das perdas. Outra abordagem para este problema, considera o caso em que al´em da minimiza¸cao das perdas, os retalhos dispon´veis em estoque devem ter prioridade de uso em rela¸cao aos demais objetos durante o processo de corte. A an´alise do desempenho dos procedimentos heur´sticos propostos quando somente a minimiza¸cao das perdas ´e considerada, ´e realizada com base em exemplos da literatura, exemplos pr´aticos e exemplares gerados aleatoriamente. Para os procedimentos heur´sticos que priorizam o corte dos retalhos do estoque, al´em de exemplares da literatura, simulamos uma situa¸cao em m´ultiplos per´odos na qual problemas de corte de estoque em sucessivos per´odos sao resolvidos. A cada per´odo, um problema para o per´odo seguinte ´e gerado considerando atualiza¸coes do estoque, os retalhos gerados nos per´odos anteriores e uma nova demanda de itens que ´e v gerada aleatoriamente. No caso bidimensional, tamb´em consideramos problemas em que, al´em da perda m´nima, os retalhos dispon´veis em estoque devem ter prioridade de corte em rela¸cao aos demais objetos. Para resolver este problema, altera¸coes foram realizadas na abordagem grafo E/OU e em procedimentos heur´sticos da literatura. A an´alise do desempenho dos procedimentos heur´sticos propostos considera problemas pr´aticos retirados da carteira de pedidos de uma pequena empresa de esquadrias met´alicas. Devido `a dificuldade na an´alise dos procedimentos heur´sticos desenvolvidos que consideram o aproveitamento de sobras (as solu¸coes apresentam caracter´sticas importantes e conflitantes), tamb´em apresentamos neste trabalho uma estrat´egia fuzzy para facilitar a analise das solu¸coes obtidas. Os testes computacionais sao realizados considerando os procedimentos heur´sticos desenvolvidos para os problemas de corte unidimensionais com sobras aproveit´aveis e problemas gerados aleatoriamente / Cutting stock problems consist of cutting a set of available objects in order to produce ordered items in specified amounts and sizes, in such way to optimize an objective function. Such problems have a great number of industrial applications and are widely studied in the literature. Typically, cutting problems have as main objective the minimization of the leftovers. However, since the cutting patterns quality depends directly of the sizes and amounts of the items that will be produced, in this tesis, we consider that if the present demand to generate undesirable waste (not large enough to be used, nor too small to be acceptable waste), then it is better to generate retails (not computed as waste) that will be used to produce items to meet future demands. In this way, some desirable characteristics for a good solution are defined and alterations in classical heuristic methods are presented, such that the cutting patterns with undesirable waste are altered. To the one-dimensional cutting stock problems, we developed heuristic procedures that consider the usable leftovers and preserve as main objective the minimization of the waste. Other approach for this problem considers the case in witch, beside minimal waste, the available retails in stock must be used with priority in relation to the other objects during the cutting process. The performance of the modified heuristics procedures, when only the minimal waste is considered, is observed by solving instances from the literature, practical instances and randomly generated instances. For heuristic procedures that prioritize the cut of retails of the stock, beside the instances from the literature, we simulated a situation in multiple periods in that cutting stock problems in successive periods are solved. In each period, a problem to the next period is generated considering updating of the stock, the retails generated in previous periods and a new demand of items that is randomly generated. For the two-dimensional cutting problems, we also consider problems in that, beside minimization of the waste, the available retails in stock must be used with priority vii in relation to the other objects. To solve this problem, alterations were realized in an AND/OR graph approach and in heuristic procedures of the literature. The performance of the proposed heuristics procedures is observed by solving practical instances provided by a small metallic frameworks industry. Due to difficulty in analyze the heuristic procedures developed for the cutting stock problem with usable leftover (the solutions present important and conflicting characteristics), we also present a fuzzy strategy to facilitate the analysis of the obtained solutions. The computational results are realized considering the developed heuristic procedures to the one-dimensional cutting stock problem with usable leftover and randomly generated instances

The paper deals with tau-extrapolation - a modification of the multigrid method, which leads to solutions with an improved con- vergence order. The number of numerical operations depends linearly on the problem size and is not much higher than for a multigrid method without this modification. The paper starts with a short mathematical foundation of the tau-extrapolation. Then follows a careful tuning of some multigrid components necessary for a successful application of tau-extrapolation. The next part of the paper presents numerical illustrations to the theoretical investigations for one- dimensional test problems. Finally some experience with the use of tau-extrapolation for the Navier-Stokes equations is given.

There is a constant struggle to increase the efficiency in gas turbines, where one method is to have a higher inlet temperature to the turbine. Often, this results in temperatures higher than the critical temperature of the materials, which makes cooling of the components an important part of the turbine. The cooling air is tapped from the compressor, and has hence required work while being compressed, but since it is removed from the thermodynamic cycle it will not provide any work in the turbine stages. Therefore, it is important to understand the losses in the cooling system to be able to use the smallest amount of cooling air possible, while still cool sufficiently to not decrease the turbine’s lifetime. The pressure losses in the cooling and secondary air systems are due to either friction or minor losses; contractions, expansions and bends. The losses can be described by a discharge coefficient, ; a rate of how close the actual mass flow is to the ideal mass flow, or a pressure loss coefficient, ; a rate of the pressure drop. In the cooling and secondary air systems there are orifices and cooling geometries. These can have different geometrical properties depending on application, and thereby have different heat transfer performances and causing a higher or lower pressure drop. At Siemens Industrial Turbomachinery AB, SIT AB, a one-dimensional in-house program named C3D is used for thermal calculations and calculations of flow properties of internal cooling flow networks. The program uses hydraulic networks consisting of nodes and branches to simulate the flow inside the components. Correlations used for describing pressure losses have been collected and divided depending on their valid ranges, with the aim to make pressure loss calculations easier. A MATLAB code have been developed, which, depending on input parameters, separates the correlations and returns a plot with the correlations that can be used. In order to make the code as useful as possible, a few assumptions were made; curve fitting of correlations which were only available as plots and interpolation to get larger valid ranges for some cases. These assumptions will influence the results, but the code will still be able to give an indication of which correlation to use, and hence, the objective is fulfilled. Simulations in one dimension are commonly used, since it is less time consuming than three-dimensional modelling. Therefore, with focus on the pressure losses, a one-dimensional model of a blade in the in-house program C3D has been evaluated using a three-dimensional model in the CFD program Ansys CFX. Also, two new models were created in C3D; both with geometrical properties and pressure loss coefficients adjusted to the CFX model, but the first model is using the same hydraulic network as in the evaluated, reference, model while the second is using a new network, built according to the streamlines in CFX. The resulting mass flows in the C3D models were compared to the mass flows in the CFX model, which ended in the conclusion that it is hard for the one-dimensional models to understand the complex, three-dimensional flow situations, even when adjusting them to the CFX model. Anyhow, the adjustments made the model somewhat closer to the three-dimensional case, and hence CFX should be used in an earlier stage when developing C3D models.

Die magnetischen Eigenschaften von Li2CuO2 sind seit mehr als zwei Jahrzehnten Gegenstand theoretischen und experimentellen Interesses. Über die genaue Natur der magnetischen Wechselwirkungen in diesem Isolator konnte jedoch keine Einigkeit erzielt werden. Während das Material von Seiten theoretischer Untersuchungen als quasi-eindimensionaler Magnet mit starken ferromagnetischen Kopplungen entlang der Kette verstanden wurde, legten experimentelle Studien dominierende dreidimensionale Zwischenkettenkopplungen nahe. Im Rahmen dieser Dissertation werden auf der Grundlage von Untersuchungen des magnetischen Anregungsspektrums mittels inelastischer Neutronenstreuung und dessen Analyse innerhalb eines Spinwellenmodels die führenden magnetischen Wechselwirkungen in Li2CuO2 bestimmt. Es wird zweifelsfrei nachgewiesen, dass das Material eine quasi-eindimensionale Spinkettenverbindung darstellt. Insbesondere kann die Konkurrenz von ferro- und antiferromagnetischen Wechselwirkungen entlang der Ketten nachgewiesen werden. Die Anwendbarkeit einer Spinwellenanalyse dieses niedrigdimensionalen Spin-1=2 Systems wird gezeigt. Das magnetische Phasendiagramm wird mittels Messungen von spezifischer Wärme, thermischer Ausdehnung und Magnetostriktion sowie der Magnetisierung in statischen und gepulsten Magnetfeldern untersucht und im Bezug auf die Austauschwechselwirkungen diskutiert. Aufgrund seiner einfachen kristallographischen und magnetischen Struktur stellt Li2CuO2 ein potentiell wertvolles Modellsystem in der Klasse der Spinkettenverbindungen mit konkurrierenden ferro- und antiferromagnetischen Wechselwirkungen dar.:1. Motivation 9 I. Introduction 13 2. Li2CuO2 15 2.1. ... as a cuprate 15 2.2. ... as a quasi-one dimensional magnet 17 2.3. Literature review on magnetic properties 21 2.3.1. Crystallographic structure 21 2.3.2. Magnetic structure and magnetic properties 21 3. Employed experimental techniques 25 3.1. Thermodynamic studies 25 3.2. Inelastic magnetic neutron scattering 28 4. Sample properties and characterization 33 4.1. A sample for INS 33 4.2. Crystal growth and characterization 36 II. Inelastic neutron scattering studies 41 5. Magnon excitations & spin-wave analysis 43 5.1. Linear spin-wave model 44 5.2. Experimental setup 46 5.3. Magnon dispersion for q || b* 46 5.3.1. Thermal neutrons 46 5.3.2. Cold neutrons 49 5.4. Magnon dispersion for q b* 52 5.5. Magnon dispersion at the zone boundary 55 5.6. Spin-wave analysis 58 5.7. Frustration of inter-chain couplings 64 6. Low energy excitations 69 III. Studies on thermodynamic properties 79 7. The magnetic phase diagram 81 7.1. High temperature short range order 83 7.2. The antiferromagnetic phase 85 7.3. The meta-magnetic transition and intermediate phase 88 7.4. Low temperature anomalies 93 7.4.1. Weak ferromagnetism 94 7.4.2. Anomalous magnetization at low T 100 8. Magnetization studies 105 8.1. Magnetization M(T) 105 8.2. Magnetization M(H) 110 9. Analysis of the magnetic specific heat 117 9.1. Estimate of phononic specific heat 118 9.2. Fluctuations, correlations near TN 120 9.3. Entropy 124 9.4. Specific heat at low temperature 129 10. Magneto-elastic coupling 133 10.1. Remarks on the measurement setup 133 10.2. Uniaxial pressure dependence of TN 135 10.3. Exploration of the easy axis magnetic phase diagram 139 10.3.1. Low temperature magnetostriction 139 10.3.2. Comprehensive survey of thermal expansion and magnetostriction data 141 10.3.3. A phenomenological model 146 10.4. Thermal expansion in magnetic fifields along the hard axes 150 IV. Conclusion 153 11.Summary and Outlook 155 V. Appendix 159 A. Supplementary data 161 A.1. Excitation spectrum in applied magnetic fifield 161 A.2. Low temperature specific heat 163 A.3. Pressure dependence of TN for H||a = 12T 163 A.4. Pressure dependence of magnetization 164 Bibliography 180 / The magnetic properties of Li2CuO2 have attracted interest since more than two decades, both in theory and experiment. Despite these efforts, the precise nature of the magnetic interactions in this insulator remained an issue of controversial debate. From theoretical studies, the compound was understood as a quasi-one-dimensional magnet with strong ferromagnetic interactions along the chain, while in contrast, experimentally studies suggested dominant three-dimensional inter-chain interactions. In this thesis, the leading magnetic exchange interactions of Li2CuO2 are determined on the basis of a detailed inelastic neutron scattering study of the magnetic excitation spectrum, analyzed within spin-wave theory. It is unequivocally shown, that the material represents a quasi-one-dimensional spin-chain compound. In particular, the competition of ferro- and antiferromagnetic interactions in the chain has been evidenced. The applicability of a spin-wave model for analysis of this low-dimensional spin-1=2 system is shown. The magnetic phase diagram of Li2CuO2 is studied by specific heat, thermal expansion and magnetostriction measurements as well as magnetization measurements in both static and pulsed magnetic fifields. The phase diagram is discussed with respect to the exchange interactions. With its simple crystallographic and magnetic structure, Li2CuO2 may serve as a worthwhile model system in the class of spin-chain compounds with competing ferromagnetic and antiferromagnetic interactions.:1. Motivation 9 I. Introduction 13 2. Li2CuO2 15 2.1. ... as a cuprate 15 2.2. ... as a quasi-one dimensional magnet 17 2.3. Literature review on magnetic properties 21 2.3.1. Crystallographic structure 21 2.3.2. Magnetic structure and magnetic properties 21 3. Employed experimental techniques 25 3.1. Thermodynamic studies 25 3.2. Inelastic magnetic neutron scattering 28 4. Sample properties and characterization 33 4.1. A sample for INS 33 4.2. Crystal growth and characterization 36 II. Inelastic neutron scattering studies 41 5. Magnon excitations & spin-wave analysis 43 5.1. Linear spin-wave model 44 5.2. Experimental setup 46 5.3. Magnon dispersion for q || b* 46 5.3.1. Thermal neutrons 46 5.3.2. Cold neutrons 49 5.4. Magnon dispersion for q b* 52 5.5. Magnon dispersion at the zone boundary 55 5.6. Spin-wave analysis 58 5.7. Frustration of inter-chain couplings 64 6. Low energy excitations 69 III. Studies on thermodynamic properties 79 7. The magnetic phase diagram 81 7.1. High temperature short range order 83 7.2. The antiferromagnetic phase 85 7.3. The meta-magnetic transition and intermediate phase 88 7.4. Low temperature anomalies 93 7.4.1. Weak ferromagnetism 94 7.4.2. Anomalous magnetization at low T 100 8. Magnetization studies 105 8.1. Magnetization M(T) 105 8.2. Magnetization M(H) 110 9. Analysis of the magnetic specific heat 117 9.1. Estimate of phononic specific heat 118 9.2. Fluctuations, correlations near TN 120 9.3. Entropy 124 9.4. Specific heat at low temperature 129 10. Magneto-elastic coupling 133 10.1. Remarks on the measurement setup 133 10.2. Uniaxial pressure dependence of TN 135 10.3. Exploration of the easy axis magnetic phase diagram 139 10.3.1. Low temperature magnetostriction 139 10.3.2. Comprehensive survey of thermal expansion and magnetostriction data 141 10.3.3. A phenomenological model 146 10.4. Thermal expansion in magnetic fifields along the hard axes 150 IV. Conclusion 153 11.Summary and Outlook 155 V. Appendix 159 A. Supplementary data 161 A.1. Excitation spectrum in applied magnetic fifield 161 A.2. Low temperature specific heat 163 A.3. Pressure dependence of TN for H||a = 12T 163 A.4. Pressure dependence of magnetization 164 Bibliography 180

L'objet de cette thèse est l'étude théorique et expérimentale de gaz de Bose à une dimension (1D), confinés à la surface d'une micro-structure. Une part importante du travail de thèse a été la modification du montage expérimental: le système laser a été remplacé, et l'installation d'un nouvel objectif de grande ouverture numérique (0.4) a nécessité le changement du dessin de la puce ainsi que l'adaptation du système à vide. Nous avons étudié les corrélations du second ordre dans l'espace des impulsions, en appliquant une méthode qui nous permet d'enregistrer en une seule image la distribution en vitesses complète de notre gaz. Nos données explorent les différents régimes du gaz à faibles interactions, du gaz de Bose idéal au quasi-condensat. Ces mesures ont montré le phénomène de groupement bosonique dans les deux phases, tandis que le quasi-condensat comporte des corrélations négatives en dehors de la diagonale. Ces anti-corrélations sont une signature de l'absence d'ordre à longue portée en 1D. Les mesures sont en bon accord avec des calculs analytiques ainsi que des simulations numériques de type Monte Carlo Quantique. Ensuite, l'objet d'un second projet est l'étude du refroidissement de gaz 1D. Comme nos échantillons occupent seulement l'état fondamental du piège transverse, il n'est pas possible de sélectionner les atomes les plus énergiques pour évaporer le gaz de façon habituelle. Une méthode alternative, qui repose sur la perte non-sélective d'atomes, a été proposée et mise en pratique expérimentalement par des collègues. Leurs résultats sont compatibles avec des observations faites sur notre montage, très semblable au leur. Tout d'abord, nous avons aussi obtenu des température d'environ 10% de l'énergie de l'état fondamental transverse. Deuxièmement, des simulations champ classique ont montré la robustesse de l'état hors d'équilibre généré par de telles pertes: les différents modes perdent en effet de l'énergie à des taux différents. Ceci est en accord avec l'observation expérimentale suivante: selon la méthode de thermométrie utilisée, chacune explorant des excitations d'énergies différentes, les températures mesurées sont différentes. Enfin, nous relions cet état non-thermique à la nature intégrable du système considéré. / We present experimental and theoretical results on ultracold one-dimensional (1D) Bose gases, trapped at the surface of a micro-structure. A large part of the doctoral work was dedicated to the upgrade of the experimental apparatus: the laser system was replaced and the installation of a new imaging objective of high numerical aperture (0.4) required the modification of the atom chip design and the vacuum system. We then probed second-order correlations in momentum space, using a focussing method which allows us to record the velocity distribution of our gas in a single shot. Our data span the weakly-interacting regime of the 1D Bose gas, going from the ideal Bose gas regime to the quasi-condensate. These measurements revealed bunching in both phases, while in the quasi-condensate off-diagonal negative correlations, a the signature of the absence of long-range order in 1D, were revealed. These experimental results agree well with analytical calculations and exact Quantum Monte Carlo simulations. A second project focussed on the cooling of such 1D gases. Since the samples lie in the ground state of the transverse trap, energy selection to carry out usual evaporative cooling is not possible. An alternative cooling scheme, based on non-selective removal of particles, was proposed and demonstrated by colleagues. These findings are compatible with observations on our setup, similar to theirs. Firstly, we also reached temperatures as low as 10% of the transverse gap in earlier experiments. Secondly, with classical field simulations we demonstrate the robustness of the non-thermal arising from these losses: different modes indeed lose energy at different rates. This agrees with the following observation: depending on the thermometry we use, each probing excitations of different energies, the measured temperatures are different, beyond experimental uncertainty. Finally, we relate this non-thermal state to the integrable nature of the 1D Bose gas.

京都大学 / 0048 / 新制・課程博士 / 博士(理学) / 甲第18774号 / 理博第4032号 / 新制||理||1581(附属図書館) / 31725 / 京都大学大学院理学研究科物理学・宇宙物理学専攻 / (主査)教授 川上 則雄, 教授 佐々 真一, 教授 高橋 義朗 / 学位規則第4条第1項該当 / Doctor of Science / Kyoto University / DFAM