We create a dual-species ultracold neutral plasma (UNP) by photo-ionizing Yb and Ca atoms in a dual-species magneto-optical trap. Unlike single-species UNP expansion, these plasmas are well outside of the collisionless (Vlasov) approximation. We observe the mutual interaction of the Yb and Ca ions by measuring the velocity distribution for each ion species separately. We model the expansion using a fluid code including ion-ion friction and compare with experimental results to obtain a value of the Coulomb logarithm of Λ= 0.04.

This thesis is devoted to study far-from-equilibrium aspects of quantum systems at strong coupling using the holographic duality as a tool. The duality, originated from string theory and further generalized to broader scenarios, relates certain strongly coupled gauge theories to classical gravity theories in higher dimensions. Over the last years, it has proved itself useful as a calculational tool to map difficult questions of interest in the gauge theory into a dual (i.e., equivalent) problem in a higher-dimensional gravity language where the solution may become feasible. The interest in strongly coupled quantum field theories, in particular non-Abelian gauge theories, is motivated by a number of nuclear and condensed matter physics phenomena which are known to take place at a non-perturbative regime, such as the quark-gluon plasma phase of quantum chromodynamics or high-Tc superconducting materials. While dealing with strong coupling is typically a very hard task even at equilibrium, the situation becomes yet more dramatic when non-equilibrium setups are concerned since the main non-perturbative tool available nowadays lattice field theory suffers from serious problems when it comes to real-time dynamics. This is the reason why unconventional techniques such as the ones provided by holography are welcome. Of particular interest here are the problems of thermalization of strongly coupled plasmas as well as the quench dynamics of quantum systems, both of which admit a dual gravitational description involving time-dependent solutions to the corresponding classical equations of motion in the bulk of Anti de Sitter (AdS) spacetimes, such as collapsing solutions describing AdS black hole formation. Specifically, and always from a holographic point of view, in this thesis we deal with three classes of problems: the thermalization properties of a charged non-Abelian plasma after a sudden injection of energy (such as a heavy ion collision); the dynamics of a symmetry breaking quench process from a relativistic to a non-relativistic setup of the Lifshitz type with dynamical exponent z; and, finally, a new analytical approach to the non- equilibrium properties of conformal field theory plasmas placed in an expanding background. Apart from the specific problems, we also provide a self-contained but concise introduction to the holographic duality with a view towards newcomers with an elementary general relativity and quantum field theory background. / Esta tese designa-se ao estudo de sistemas quânticos fortemente acoplados e fora do equilíbrio utilizando como ferramenta a dualidade holográfica. A dualidade, originária da teoria de cordas e posteriormente generalizada a cenários mais abrangentes, relaciona certas teorias de calibre fortemente acopladas e teorias de gravidade clássica em dimensões mais altas. Nos últimos anos, ela tem se mostrado útil como uma ferramenta de cálculo para mapear questões complicadas na teoria de gauge em um problema \\q{dual} (isto é, equivalente) formulado na linguagem completamente diferente de gravidade em dimensões extras, onde obter uma solução pode ser viável. O interesse em teorias quânticas de campo fortemente acopladas, em particular teorias de calibre não-Abelianas, motiva-se por uma variedade de fenômenos das físicas nuclear e da matéria condensada que, reconhecidamente, ocorrem em um regime não-perturbativo, tais como o plasma de quarks e glúons da cromodinâmica quântica ou certos materiais supercondutores com temperatura crítica alta. Em geral, lidar com acoplamentos fortes é uma tarefa bastante complicada mesmo em configurações de equilíbrio, mas a situação se torna ainda mais dramática quando configurações longe do equilíbrio são tratadas, visto que a principal ferramenta não-perturbativa disponível atualmente (teoria de campos na rede) enfrenta sérios problemas em situações dinâmicas. Esta é a principal razão pela qual técnicas alternativas tais como as fornecidas pela dualidade holográfica são bem vindas. De particular interesse aqui são os problemas da termalização de plasmas fortemente acoplados bem como a dinâmica pós-\\emph{quench} de sistemas quânticos, ambos os quais admitem uma descrição gravitacional dual envolvendo soluções dependentes do tempo às correspondentes equações gravitacionais em espaços-tempo de Anti de Sitter (AdS), tais como soluções de colapso descrevendo a formação de buracos negros assintoticamente AdS. Especificamente, e sempre sob um ponto de vista holográfico, nesta tese lidamos com três tipos diferentes de problemas: a termalização de um plasma não-Abeliano carregado como resultado de uma injeção repentina de energia (tal como uma colisão de íons pesados); a dinâmica durante um processo de quebra da simetria relativística para uma simetria não-relativística do tipo Lifshitz com expoente dinâmico $z$; e, finalmente, uma nova abordagem analítica para tratar propriedades fora do equílibrio de plasmas conformes colocados em um fundo que se expande. Além de tais problemas específicos, este texto fornece também uma introdução sucinta e auto-contida à dualidade holográfica direcionada a um leitor com conhecimento elementar de relatividade geral e teoria quântica de campos.

Wireless power transfer (WPT) technologies for communication and recharging devices have recently attracted significant research attention. Conventional WPT systems based either on far-field or near-field coupling cannot provide simultaneously high efficiency and long transfer range. The Strongly Coupled Magnetic Resonance (SCMR) method was introduced recently, and it offers the possibility of transferring power with high efficiency over longer distances. Previous SCMR research has only focused on how to improve its efficiency and range through different methods. However, the study of optimal and miniaturized designs has been limited. In addition, no multiband and broadband SCMR WPT systems have been developed and traditional SCMR systems exhibit narrowband efficiency thereby imposing strict limitations on simultaneous wireless transmission of information and power, which is important for battery-less sensors. Therefore, new SCMR systems that are optimally designed and miniaturized in size will significantly enhance various technologies in many applications. The optimal and miniaturized SCMR systems are studied here. First, analytical models of the Conformal SCMR (CSCMR) system and thorough analysis and design methodology have been presented. This analysis specifically leads to the identification of the optimal design parameters, and predicts the performance of the designed CSCMR system. Second, optimal multiband and broadband CSCMR systems are designed. Two-band, three-band, and four-band CSCMR systems are designed and validated using simulations and measurements. Novel broadband CSCMR systems are also analyzed, designed, simulated and measured. The proposed broadband CSCMR system achieved more than 7 times larger bandwidth compared to the traditional SCMR system at the same frequency. Miniaturization methods of SCMR systems are also explored. Specifically, methods that use printable CSCMR with large capacitors, novel topologies including meandered, SRRs, and spiral topologies or 3-D structures, lower the operating frequency of SCMR systems, thereby reducing their size. Finally, SCMR systems are discussed and designed for various applications, such as biomedical devices and simultaneous powering of multiple devices.

Disorder-induced heating (DIH) is a nonequilibrium, ultrafast relaxation process that occurs when laser-cooled atoms are photoionized to make an ultracold plasma. Its effects dominate the ion motion during the first 100 ns of the plasma evolution. Using tools of atomic physics we study DIH with ns time resolution for different plasma densities and temperatures. By changing the frequency of the laser beam we use to probe the ions, we map out the time evolution of the velocity distribution. We can compare this to a fluorescence simulation in order to more clearly determine the relationship between the fluorescence signal and the velocity distribution. In this study we observe and characterize effects due to electron screening on the ions during the equilibration process.

Molecular dynamics (MD) simulations are used to compute the equilibrium dynamics of a single component fluid with Yukawa interaction potential v(r) = (Ze)^2 exp(−r/λs )/4π eps_0 r. This system, which is known as the Yukawa one-component plasma (YOCP), represents a simplified description of a non-ideal plasma consisting of ions, charge Ze, and electrons. For finite screening lengths λs, the MD results are used to investigate the domain of validity of the hydrodynamic description, i.e., the description given by the Navier-Stokes equations. The way in which this domain depends on the thermodynamic conditions of the YOCP, as well as the strength and range of the interactions, is determined. Remarkably, it is found that the domain of validity is completely determined by the range of the interactions (i.e., λs); this alone determines the maximum wave number k_max at which the hydrodynamic description is applicable. The dynamics of the YOCP at wavevectors beyond k_max are then investigated; these are shown to be in striking agreement with a simple and well known generalisation of the Navier-Stokes equations. In the extreme case of the Coulomb interaction potential (λs = ∞), the very existence of a hydrodynamic description is a known but unsolved problem [Baus & Hansen, 1980]. For this important special case, known as the one-component plasma (OCP), it is shown that the ordinary hydrodynamic description is never valid. Since the OCP is the prototypical system representing a non-ideal plasma, a number of different approaches for modelling its dynamics have been formulated previously. By computing the relevant quantities with MD, the applicability of a number of models proposed in the literature is examined for the first time.

Typischerweise sind Plasmen extrem heiß - diese hohen Energien sind nötig, um die Ionisationsschwelle der Atome zu überwinden und damit einen stabilen Plasmazustand zu gewährleisten. Folglich werden die physikalischen Eigenschaften dieser Plasmen für gewöhnlich durch die thermischen Energie der Plasmateilchen bestimmt, während Korrelationen zwischen den Ladungen eine untergeordnete Rolle spielen. Durch die rasanten Fortschritte auf dem Gebiet der ultrakalten Gase ist es jedoch ebenso möglich, Plasmen bei extrem tiefen Temperaturen zu erzeugen, indem lasergekühlte Atome photoionisiert werden. In diesen ultrakalten Plasmen (UKP) lassen sich aufgrund der niedrigen Temperaturen bereits deutliche Auswirkungen von Korrelationen beobachten, die zu gänzlich anderer Dynamik führen können als aus dem Bereich der heißen schwach gekoppelten Plasmen bekannt. Ähnliche Prozesse werden auch in dichten Plasmen beobachtet, in denen durch extrem kurzen Teilchenabstände die Wechselwirkungsenergie auch bei Temperaturen von über 10000 Kelvin die kinetische Energie dominiert. Dichte Plasmen spielen eine wichtige Rolle für technische Anwendungen wie die Trägheitsfusion. Im Gegensatz zu diesen dichten Plasmen realisieren UKP starke Korrelationen jedoch bei sehr viel geringen Dichten von ρ ∼ 10^9 cm^{−3} . Die daraus resultierende langsame Dynamik ist experimentell wesentlich besser zugänglich und macht diese System deshalb besonders interessant, um Korrelationseffekte in stark gekoppelten Plasmen zu studieren. Diese Arbeit beschäftigt sich mit Effekten von starken Korrelationen auf verschiedene Relaxationsprozesse, die insbesondere, aber nicht ausschließlich in UKP eine bedeutende Rolle spielen. Neben dem fundamentalen Interesse an diesen Prozessen gilt ein Augenmerk auch möglichen experimentellen Tests der getroffenen Vorhersagen. Da die Theorie der schwach gekoppelten Plasmen Korrelationen größtenteils vernachlässigt, ist sie im Regime der UKP nur eingeschränkt anwendbar. Zur Berücksichtigung der starken Korrelationen werden in dieser Arbeit umfangreiche molekulardynamischen Simulationen eingesetzt, die teilweise mit quantenmechanischen Beschreibungen kombiniert werden, um den in UKP relevanten atomphysikalischen Aspekten gerecht zu werden. Im Rahmen dieser Rechnungen wird zunächst die seit langem ungeklärte Frage der Atombildung bei tiefen Temperaturen beantwortet. Dieser Prozess ist für UKP besonders relevanten, da die Rekombination die Lebensdauer des Plasmas bestimmt. Die konventionelle Theorie für Rekombination basiert auf der Annahme von von isolierten Drei-Körper-Stößen. Die daraus resultierende Rate divergiert mit abnehmender Temperatur und verliert daher ihre Gültigkeit im ultrakalten Bereich. In dieser Arbeit wird die Beschreibung der Rekombination mit Hilfe aufwendiger Vielteilchen-Simulationen auf den stark gekoppelte Bereich ausgebaut. Hierbei zeigt sich, dass die Rekombinationsrate im Bereich tiefer Temperaturen auf einen konstanten Wert konvergiert, so dass das Problem der divergierenden Rate gelöst werden kann. Ein weiteres, seit langem kontrovers diskutiertes Problem, stellt die Relaxation aufgrund von elastischen Stößen in stark gekoppelten Plasmen dar. Auch hier gilt, dass die konventionelle Theorie für heiße Plasmen, die auf Landau und Spitzer zurückgeht, aufgrund der Vernachlässigung von Korrelationen im Regime starker Kopplung unzureichend wird. Bisher waren keine experimentellen Ergebnisse verfügbar, um die verschiedenen Vorschläge zur Erweiterung der Landau-Spitzer-Beschreibung auf den stark gekoppelten Bereich zu beurteilen. In enger Zusammenarbeit mit der Gruppe von Prof. T. C. Killian (Rice University, Houston, USA) können im Rahmen dieser Arbeit nun erstmals Relaxationsraten in stark gekoppelten Plasmen gemessen werden. Dazu wird mittels eines Pump-Probe-Verfahren die Relaxation der ionischen Geschwindigkeitsverteilung in UKP beobachtet. In dieser Arbeit konnte eine Methode zur Interpretation der experimentellen Daten entwickelt und durch semiklassische Simulationen der Parameterbereich enorm erweitert werden. Unsere Ergebnisse zeigen, dass die Landau-Spitzer-Theorie bereits bei geringen Kopplungsstärken deutliche Defizite aufweist und liefern erstmalig Vorhersagen im stark gekoppelten Bereich. Bei der Untersuchung der ionischen Relaxation wird deutlich, dass insbesondere experimentelle Ergebnisse bei hohen Kopplungsstärken von Interesse sind. Derzeit sind typische UKP-Experimente jedoch auf mäßige Kopplungsstärken limitiert. Ursache hierfür ist, dass das Plasma in einem Zustand weit entfernt vom Gleichgewicht erzeugt wird. Bei der Relaxation ins Gleichgewicht kommt es zu einer Ausbildung von Korrelationen und damit zu einer Umwandlung von potentieller in kinetische Energie. In dieser Arbeit wird deshalb ein neues Plasmaherstellungsverfahren vorgeschlagen, das für die Ionen dieses „Korrrelationsheizen“ stark unterdrücken kann. Durch eine kollektive Anregung kalter Atome in Rydberg-Zustände werden vor der Photoionsation der Atome Korrelationen im atomaren Gas induziert. Es wird gezeigt, dass diese Korrelationen durch eine selektive Ionisation der Rydberg-Atome mit Hilfe von Mikrowellen an das Plasma weitergegeben werden können. Dadurch verringert sich das Korrelationsheizen und eröffnet neue Perspektiven für Untersuchungen ultrakalter Plasmen tief im stark gekoppelten Regime.

Using the AdS/CFT correspondence, we study the anisotropic transport properties of both supersymmetric and non-supersymmetric matter fields on (2+1)-dimensional defects coupled to a (3+1)-dimensional N=4 SYM "heat bath". We address on the one hand the purely conformal defect where the only non-vanishing background field that we turn on is a "topological", parameter parametrizing the impact on the bulk. On the other hand we also address the case of a finite external background magnetic field, finite net charge density and finite mass. We find in the purely conformal limit that the system possesses a conduction threshold given by the wave number of the perturbation and that the charge transport arises from a quasiparticle spectrum which is consistent with an intuitive picture where the defect acquires a finite width in the direction of the SYM bulk. We also examine finite-coupling modifications arising from higher derivative interactions in the probe brane action. In the case of finite density, mass and magnetic field, our results generalize the conformal case. We discover at high frequencies a spectrum of quasiparticle resonances due to the magnetic field and finite density and at small frequencies a Drude-like expansion around the DC limit. Both of these regimes display many generic features and some features that we attribute to strong coupling, such as a minimum DC conductivity and an unusual behavior of the "cyclotron" and plasmon frequencies, which become correlated to the resonances found in the conformal case. We further study the hydrodynamic regime and the relaxation properties, in which the system displays a set of different possible transitions to the collisionless regime. The mass dependence can be cast in two regimes: a generic relativistic behavior dominated by the UV and a non-linear hydrodynamic behavior dominated by the IR. In the massless case, we also extend earlier results to find an interesting duality under the transformation of the conductivity and the exchange of density and magnetic field. Furthermore, we look at the thermodynamics and the phase diagram, which reproduces general features found earlier in 3+1 dimensional systems and demonstrates stability in the relevant phase.

Using the AdS/CFT correspondence, we study the anisotropic transport properties of both supersymmetric and non-supersymmetric matter fields on (2+1)-dimensional defects coupled to a (3+1)-dimensional N=4 SYM "heat bath". We address on the one hand the purely conformal defect where the only non-vanishing background field that we turn on is a "topological", parameter parametrizing the impact on the bulk. On the other hand we also address the case of a finite external background magnetic field, finite net charge density and finite mass. We find in the purely conformal limit that the system possesses a conduction threshold given by the wave number of the perturbation and that the charge transport arises from a quasiparticle spectrum which is consistent with an intuitive picture where the defect acquires a finite width in the direction of the SYM bulk. We also examine finite-coupling modifications arising from higher derivative interactions in the probe brane action. In the case of finite density, mass and magnetic field, our results generalize the conformal case. We discover at high frequencies a spectrum of quasiparticle resonances due to the magnetic field and finite density and at small frequencies a Drude-like expansion around the DC limit. Both of these regimes display many generic features and some features that we attribute to strong coupling, such as a minimum DC conductivity and an unusual behavior of the "cyclotron" and plasmon frequencies, which become correlated to the resonances found in the conformal case. We further study the hydrodynamic regime and the relaxation properties, in which the system displays a set of different possible transitions to the collisionless regime. The mass dependence can be cast in two regimes: a generic relativistic behavior dominated by the UV and a non-linear hydrodynamic behavior dominated by the IR. In the massless case, we also extend earlier results to find an interesting duality under the transformation of the conductivity and the exchange of density and magnetic field. Furthermore, we look at the thermodynamics and the phase diagram, which reproduces general features found earlier in 3+1 dimensional systems and demonstrates stability in the relevant phase.

科学研究費補助金 研究種目:基盤研究(C) 課題番号:11680482 研究代表者:庄司 多津男 研究期間:1999-2001年度

Wideband, wide-scan antenna arrays are a promising candidate for the future wireless networks and as well as an essential part of experimental radio astrophysics. Understanding the underline physics of the element performance in the array environment is paramount to develop and improve the performance of array systems. The focus of this thesis is to develop novel wideband antenna array technologies and develop new theoretical insights of the fundamental limits of antenna arrays. The developed methodologies have also been extended to include a radio astrophysics application for the global 21cm experiment.   Investigating the fundamental antenna array limits and extracting general performance measures can provide a priori estimates for any application of arrays. In this thesis, a general measure for antenna arrays, the array figure of merit is proposed. This measure couples bandwidth, height from the ground plane and reflection coefficient in a bounded quantity. An extension of the array figure of merit that is able to provide matching, bandwidth and directivity/gain limits is also introduced. The soft Vivaldi array is introduced as a novel wideband, wide-scan angle array technology. Periodic structure loading has been utilized to improve the array's performance and mold the electromagnetic wave behavior to our benefit. The soft condition has been utilized in the same manner as the conventional soft-horn antenna at the Vivaldi element. An integrated matching layer in the form of periodic strip loading is introduced. A single polarized soft Vivaldi array prototype has been developed fabricated and measured. The developed finite array has been loaded with a soft condition in the periphery to mitigate edge effects. The results indicated improved cross-polarization and side-lobe levels. A new class of wideband antenna arrays, the Strongly Coupled Asymmetric Dipole Array (SCADA) was also proposed in this thesis. Exploiting asymmetry in the array element introduces an additional degree of freedom that improves bandwidth and scanning performance. A novel methodology for terminating finite arrays is also proposed. The theory and an experimental antenna array is presented with good agreement between measured and simulated results. An effort to integrate a vertical wide angle matching layer was also addressed and a prototype array with this concept is presented. In the last part of this thesis, a methodology for the detection of the global cosmological 21cm signal from the Epoch of Reionization (EoR) is developed. The main sources of errors in this experiment, the foregrounds and the antenna chromaticity are evaluated. A new algorithmic methodology for extracting the global EoR signal is proposed. The method is based on piecewise polynomial fitting and has successfully been applied and evaluated. An antenna array that is based on the methodologies described in this thesis has been developed and evaluated with the proposed algorithm. / Bredbandiga gruppantenner med stor utstyrningsvinkel är en av de lovande kandidaterna för nästa generations trådlösa kommunikationsnätverk samt en väsentlig del av experimentell radioastrofysik. Att förstå de bakomliggande fysikaliska principerna hos gruppantennens element är avgörande för att kunna utveckla och förbättra prestandan hos ett gruppantennsystem. Denna avhandling är fokuserad på att utveckla nya bredbandstekniker samt nya teoretiska insikter om de grundläggande gränserna för gruppantenner. De här utvecklade metoderna har förutom kommunikationstillämpningar också tillämpats på en radioastrofysik tillämpning i det globala 21cm experimentet. Att undersöka de fundamentala gränserna för gruppantenner och att utröna allmängiltiga mått på deras prestandaegenskaper kan möjliggöra a priori uppskattningar om gruppantenns tillämpbarhet för dess planerade användning. I den här avhandlingen föreslås ett allmänt kvalitetsmått på gruppantenner: gruppantennkvaliten. Detta mått kopplar samman främst bandbredd, reflektionskoefficienten med antennens tjocklek över ett jordplanet. En utvidgning av begreppet gruppantennkvaliten, presenters också i avhandlingen det kopplar samman bandbredd, matchning med antennens direktivitet/förstärkningsfaktor. En Vivaldi-gruppantenn med mjuka ytor introduceras här som en ny sorts bredbandig gruppantenn med stor utstyrningsvinkel. I antennen har en periodisk belastning inkluderats för att förbättra dess egenskaper, och för att forma antennens elektromagnetiska utstrålning till vår fördel. Den mjuka ytan på elementet har används på ett liknande sätt som det välkända korrigerade Vivaldihornets design, och har integrerats direkt i elementets design. Den här utvecklade ändliga gruppantennen har också en mjuk yta på dess yttre delar för att minska kanteffekternas påverkan av antennprestandan. Resultaten indikerade både förbättrad korspolarisations och lägre sidlobsnivåer hos antennen. En ny klass av bredbandiga gruppantenner har utvecklas i denna avhandling, den kallas en Starkt Kopplad Asymmetrisk Dipol-gruppAntennen - SCADA. Genom att utnyttja geometrisk asymmetri i antennelementet introduceras ytterligare en frihetsgrad som möjliggör förbättrad bandbredd och utstyrning. Vidare presenteras här en ny metod för impedansterminering av ändliga gruppantenner. Både SCADA-teorin samt dess verifiering i forma av en experimentell gruppantenn presenteras här. Teori, simulering och experiment visar god överenskommelse, vilket validerar idéerna. En prototyp av ett matchande skikt som stöder stor utstyrbarhet har integrerats med gruppantennprototypen och presenteras i avhandlingen. I den sista delen av avhandling utvecklas också en metod för detektering av den globala kosmologiska 21 cm-signalen från universums rejoniseringsepok - EoR. Huvudkällorna för mätfel i detta experiment utvärderas, de är antennens kromaticiteten och förgrundsstrålningen. En ny algoritmbaserad metod för att extrahera den globala EoR-signalen föreslås. Metoden är baserad på anpassning med multipla polynom och har med framgång tillämpats och utvärderats. En gruppantenn som baseras på de metoder som beskrivs i avhandling har också föreslagits och dess prestanda har utvärderats med den föreslagna metoden. / <p>QC 20171121</p>