Ultracold atomic systems have provided an ideal platform to study the physics of strongly interacting many body systems in an unprecedentedly controlled and clean environment. And, since fermions are the building blocks of visible matter, being naturally motivated we focus on the physics of ultracold fermionic systems in this thesis. There have been many recent experimental developments in these systems such as the creation of synthetic gauge fields, realization of dimensional crossover and realization of systems with synthetic dimensions. These developments pose many open theoretical questions, some of which we address in this thesis. We start the discussion by studying the spectral function of an ideal spin-12 Fermi gas in a harmonic trap in any dimensions. We discuss the performance of the local density approximation (LDA) in calculating the spectral function of the system by comparing it to exact numerical results. We show that the LDA gives better results for larger number of particles and in higher dimensions. Fermionic systems with quasi two dimensional geometry are of great importance because of their connections to the high-Tc superconducting cuprate materials. Keeping this in mind, we consider a spin-12 fermionic system in three dimensions interacting with a contact interaction and confined by a one dimensional optical potential in one direction. Using the Bogoliubov-de Gennes formalism, we show that with increasing the depth of the optical potential the three dimensional superfluid evolves into a two dimensional one by looking at the shifts in the radio-frequency spectrum of the system and the change in the binding energy of the pairs that are formed. The next topic of interest is studying the effect of synthetic gauge fields on the ultracold fermionic systems. We show that a synthetic non-Abelian Rashba type gauge field has experimentally observable signatures on the size and shape of a cloud of a system of non-interacting spin-12 Fermi system in a harmonic trap. Also, the synthetic gauge field in conjunction with the harmonic potential gives rise to ample possibilities of generating novel quantum Hamiltonians like the spherical geometry quantum Hall, magnetic monopoles etc. We then address the physics of fermions in “synthetic dimensions”. The hyperfine states of atoms loaded in a one dimensional optical lattice can be used as an extra dimension, called the synthetic dimension (SD), by using Raman coupling. This way a finite strip Hofstadter model is realized with a tunable flux per plaquette. The experimental realization of the SD system is most naturally possible in systems which also have SU(M) symmetric interactions between the fermions. The SU(M) symmetric interactions manifest as long-ranged along the synthetic dimension and is the root cause of all the novel physics in these systems. This rich physics is revealed by a mapping of the Hamiltonian of the system to a system of particles interacting via an SU(M) symmetric interaction under the influence of an SU(M) Zeeman field and a non-Abelian SU(M) gauge field. For example, this equivalence brings out the possibility of generating a non-local interaction between the particles at different sites; while the gauge filed mitigates the baryon (SU(M) singlet M-body bound states) breaking effect of the Zeeman field. As a result, the site localized SU(M) singlet baryon gets deformed and forms a “squished baryon”. Also, finite momentum dimers and resonance like states are formed in the system. Many body physics in the SD system is then studied using both analytical and numerical (Density Matrix Renormalization Group) techniques. This study reveals fascinating possibilities such as the formation of Fulde-Ferrell-Larkin-Ovchinnikov states even without any “imbalance” and the possibility to evolve a “ferromagnet” to a “superfluid” by the application of a magnetic field. Other novel fermionic phases with quasi-condensates of squished baryons are also demonstrated. In summary, the topics addressed in this thesis demonstrate the possibilities and versatilities of the ultracold fermionic systems used in conjunction with synthetic gauge fields and dimensions

The experiment discussed in the next chapter was to confirm the aforementioned bystander effect. In the first experiment we separated hosting and non-hosting mRBCs by the percol purification method and then measured the corner frequencies of them. The mean fc of the distribution is almost the same, and this confirms the effect of the parasite on the non-hosting mRBC. In the next experiment, we have incubated nRBCs in the spent media and measured the corner frequency at six-hours intervals to see how the fc changed with the incubation time. The results showed that within 24 hours, the fc of the incubated nRBCs increases to the level of the iRBCs. The fact that nRBCs are getting affected by the spent media indicates that some substances must be released in the spent media which alter the physical properties of the nRBCs. This kind of effect on non-host mRBCs was previously observed by some earlier works [Dondorp97, Sabolovic91a, Bambardekar08]. It has also been recently shown that the rosetting of the host mRBCs to the non-host mRBCs is also activated by the substances released in the medium [Handunnetti89, Wahlgren89], which are also somewhat similar to the bystander effect observed by us. In addition to this, there are reports which suggest that sickle cell disease also shows binding properties [Roseff08, Zhang12] which may be due to the substances released in the medium. So it was already observed that the released substances induced changes in the properties of RBCs, but our study gives a direct confirmation of the same. The next study was to find out the released substances which were responsible for the observed changes above. We incubated infected and uninfected RBCs in different drugs. Then, we measured them to see what kind of changes occur in the corner frequency of the incubated RBCs. The corner frequency of normal RBCs incubated in db-cAMP shows the maximum change. So the released substance that is responsible for the bystander effect may be due to the db-cAMP. All the experiments above were done using samples cultured only in the lab. Since the environment of the blood taken directly from the patient may differ from the one that is cultured in the lab, it is natural to find out if similar kinds of changes can be observed in the clinical sample or not. The study in chapter 6 was targeted to find out the same. We took clinical samples from BMRI for patients having a confirmed malaria infection by both P. falciparum and P. vivax. This also provided us the opportunity to work with the P. vivax infected sample as it is very difficult to culture them in the lab. The results shown in this chapter clearly indicate that similar kinds of changes occur in the clinical sample also. It is worth noting that even though P. vivax infects only immature RBCs (reticulocytes), changes were also observed in P. vivax samples. This gives us another strong confirmation about the previously observed bystander effect. This also indicates that this technique can be used as a tool to diagnose malaria. Although we cannot differentiate between P. falciparum and P. vivax, this technique combined with other well established techniques can give us more confirmation. So, in all the experiment above we have shown an easy and novel technique which can be used to differentiate between normal and malaria-infected RBCs. We have also observed the bystander effect and tried to find out the released substances which are responsible for this effect. We have shown that this technique can use the bystander effect of malaria to identify malaria. It has also been shown that the RBCs taken from the patient sample also show the same changes as the cultured samples, which gives us the possibility that this technique can be used as a diagnostic tool combined with other technique. This technique can also be used in experiments like the effects of drugs and to find out drugs for diseases like malaria. Future outlook 1. We have observed the changes only for malaria. There may be other diseases like sickle cell anemia which can also alter the corner frequency of the distribution of RBCs. We have to find out the specificity of the observed changes. 1 We can directly measure the elasticity of RBCs using dual traps in optical tweezers to find out the effect of different infections and drugs on the rigidity of RBCs and compare the with the data above. 2 We can also study other cells using the same method to see if we can find out any difference between healthy and unhealthy cells.

Une méthode de frontières immergées est développée pour la simulation d’écoulements compressibles et validée au travers de cas-tests spécifiques (réflexion d’ondes acoustiques et quantification de la conservation de la masse dans des canaux inclinés). La simulation aux grandes échelles (LES) d’une cavité transsonique est ensuite présentée. Le bouclage aéro-acoustique, très sensible aux conditions aux limites, est reproduit avec précision par la LES dans le cas où les parois sont immergées dans un maillage structurée. La comparaison des stratégies de modélisation de sous-maille pour cet écoulement transsonique et l’adaptation des filtres en présence de frontières immergées sont également discutées. Le rôle, souvent sous-estimé, du schéma de viscosité artificiel, est quantifié.Dans la dernière partie du manuscrit, des études sont réalisées pour aider au dimensionnement d’un nouveau concept de chambre de combustion où la flamme est stabilisée par la recirculation de gaz brûlés dans une cavité (chambre TVC pour Trapped Vortex Combustor). La modélisation de la combustion turbulente est basée sur une chimie tabulée, couplée à une fonction densité de probabilité présumée (PCM-FPI). L’étude de la dynamique de la flamme est réalisée pour diverses conditions de fonctionnement (débit de l’écoulement principal et présence ou non d’un swirl). Les spécificités de mise en œuvre de la simulation d’un écoulement de ce type sont discutées et un soin particulier est apporté au traitement de la condition de sortie, qui constitue un point sensible de la chaîne de modélisation. Les phénomènes d’instabilités et de retour de la flamme sont mis en évidence ainsi que les modifications à apporter au dispositif afin de minimiser ces effets. L’existence d’un cycle limite acoustique est souligné et une formule permettant d’anticiper le niveau des fluctuations de pression est proposée et validée. Une correction au modèle PCM-FPI est présentée afin de préserver la vitesse de flamme et d’assurer une reproduction plus précise de la dynamique de flamme. / An immersed boundary method has been developed for the simulation of compressible flow and validated with reference test cases (pressure wave reflection and quantification of mass conservation for various inclined channels). Large Eddy Simulation (LES) of a transonic cavity is then presented. The aeroacoustic feedback loop, which is highly sensitive to the boundary conditions, was accurately reproduced where the walls are immersed inside a structured grid. The comparison between the modeling approaches for this transonic flow and the correction of the filtering operation near immersed boundaries are also discussed. The often underestimated role of the numerical artificial dissipation is also quantified.In the last part of this manuscript, many studies are realized to help in the design of a new combustion chamber for Trapped Vortex Combustor (TVC). The turbulent combustion model is based on tabulated chemistry and a presumed probability density function (PCM-FPI) method.The flame dynamics is studied for various operating conditions (flowrate of the main flow and presence of swirl motion). Details concerning the realization of such a flow are discussed and special care is taken for the treatment of the most sensitive outlet boundary condition. The phenomena of combustion instabilities and of flame backflow are highlighted along with the modifications to be made for the device to minimize these effects. The existence of a acoustic limit cycle is emphasized and a formula is proposed and validated to anticipate the level of pressure fluctuations. Finally a correction to the PCM-FPI model is suggested to preserve the flame front speed and to ensure a more accurate description of the flame dynamics.

Cette thèse traite du problème de l'écoulement d'un fluide dans des interfaces étroites entre des solides en contact sous un chargement normal, ce qui est important pour de nombreuses applications en tribologie, ingénierie et géophysique. Le traitement de ce problème nécessite de prévoir un couplage entre la mécanique des fluides et celle des solides. Les contraintes liées à la présence du contact, ainsi que les caractéristiques complexes de la géométrie de surface rajoutent un niveau de complexité significatif. Dans cette thèse, un solveur monolithique par éléments finis permettant la gestion du contact frottant, des écoulements visqueux incompressibles et du transfert des efforts induits par le fluide sur le solide est développé. De plus, la possibilité que le fluide se retrouve piégé dans des cavités délimitées par des zones de contact est prise en compte par l'élaboration d'un nouvel élément dit "de fluide piégé", qui utilise une loi de comportement compressible non linéaire. Le code résultant de cette méthode comprend des algorithmes d’analyse d’image permettant de distinguer les zones de contact, d’écoulement de fluide et de fluide piégé. En outre, le code convient aux approches de couplage uni- et bidirectionnel. Le cadre développé a été appliqué dans un premier temps à l'étude d'un fluide piégé entre un solide déformable présentant une surface de contact ondulée et un plan rigide. Pour un système soumis à une charge externe croissante, nous avons examiné l'évolution de la surface de contact et du coefficient de frottement global en fonction des propriétés du fluide et du solide, ainsi que de la pente du profil de surface. Nous avons ensuite étudié l’écoulement d’un fluide entre un plan rigide et un solide déformable avec une géométrie modèle ou une surface rugueuse. Nous avons obtenu une solution analytique approchée qui gouverne le flux de fluide à travers une interface de contact ondulée, et cette dernière a été comparée à nos résultats numériques. Enfin, nous avons montré pour un intervalle de paramètres physiquement pertinents, que le couplage unidirectionnel sous-estime, par rapport à une approche bidirectionnelle, la perméabilité de l’interface ainsi que la charge externe critique nécessaire à la fermeture de l’interface. Une loi phénoménologique raffinée de perméabilité macroscopique des interfaces de contact rugueuses a été proposée. Enfin, le cadre développé a été utilisé pour calculer l'évolution de la fuite de fluide à travers une interface de contact métal sur saphir en utilisant un comportement matériau élasto-plastique et des mesures réelles de la rugosité de surface. / This thesis deals with the problem of a thin fluid flow in narrow interfaces between contacting solids subject to a normal loading, which is relevant for a range of tribological and engineering applications, as well as for geophysical sciences. The treatment of this problem requires coupling between fluid and solid mechanics, further complicated by contact constraints and potentially complex geometrical features of contacting surfaces. In this thesis a monolithic finite-element framework for handling frictional contact, thin incompressible viscous flow and transfer of fluid-induced tractions to the solid is developed. Additionally, we considered fluid entrapment in "pools" delimited by contact patches and formulated a novel trapped-fluid element using a non-linear compressible constitutive law. This computational framework makes use of image analysis algorithms to distinguish between contact, fluid flow and trapped fluid zones. The constructed framework is suitable for both one- and two-way coupling approaches. First, the developed framework was applied to a study of a fluid trapped between a deformable solid with a wavy surface and a rigid flat. We showed how the contact area and the global coefficient of friction evolve under increasing external load, depending on fluid and solid properties and on the slope of the surface profile. Next, we studied a thin fluid flow between a rigid flat and a deformable solid with a model geometry or random surface roughness. An approximate analytical solution for the fluid flow across a wavy contact interface was derived and compared with numerical results. We showed that for a range of physically relevant parameters, one-way coupling underestimates the interface permeability and the critical external load needed to seal the interface, compared to the two-way approach. A refined non-local phenomenological law for macroscopic permeability of rough contact interfaces was proposed. Finally, the developed framework was used to calculate the evolution of the fluid leakage through a metal-to-sapphire contact interface using an elasto-plastic material behaviour and real measurements of surface roughness.

In this work the transient non-instantaneous polarization, i.e., laser-pulse injected small polarons and self-trapped excitons, is studied in the perovskite-like ferroelectric lithium niobate. The investigations span a time scale from femtoseconds to several hours. It is shown that the established small polaron picture is not able to describe transient absorption and photoluminescence of lithium niobate consistently. Several strong indications are presented demonstrating that the photoluminescence cannot be caused by geminate small polaron annihilation. Instead, the idea of radiatively decaying self-trapped excitons at the origin of the blue-green photoluminescence is revived. Excitons pinned on defect sites are proposed to lead to the already observed long-lived transient absorption in the blue spectral range in Mg- and Fe-doped crystals. Excitons pinned on iron-defects are studied in more detail. Their spectral fingerprint and absorption cross section is determined. Furthermore, it is shown that the occurrence of these pinned STEs can be tailored by chemical treatment of the samples and the experimental parameters such as the pump pulse intensity and photon energy. Based on the new experimental results and reviewing data published in literature, an atomistic picture of hopping and pinning of self-trapped excitons in lithium niobate is proposed. The question is addressed whether small polarons and self-trapped excitons in lithium niobate are coupled species in the sense that oppositely-charged polarons may merge into self-trapped excitons or STEs break into small polaron pairs. Decay kinetics of transient absorption and luminescence assigned to free small polarons and STEs indicate that this is not the case. For a more complete picture the ultrafast time scale is investigated as well. The formation times of small polarons and STEs are determined, which both lie in the range of 200 fs. No indications are found on the (sub)picosecond time scale indicating a coupling of both quasi-particle species either. In order to gain access to the formation of self-trapped excitons a custom-built femtosecond broadband fluorescence upconversion spectrometer is installed. Based on an already existing scheme, it is adapted to the inspection of weakly luminescent solid samples by changing to an all reflective geometry for luminescence collection. To avoid the necessity for an experimentally determined photometric correction of the used setup, an already established calculation method is extended considering the finite spectral bandwidth of the gate pulses. The findings presented here are important not only as fundamental research, but also regarding the technical application of lithium niobate and other similar nonlinear optical crystals. The simultaneous occurrence of both small polarons and self-trapped excitons is a rather rarely described phenomenon. Usually, the optical response of wide band gap oxide dielectrics is associated with only one of these quasi-particle species. This work may therefore be a stimulus to review the existing microscopic models for transient phenomena in other oxide dielectrics, which may help to improve their application in nonlinear optical and electro-optical devices. In this context the ultrafast transient photoluminescence spectroscopy established here for weakly luminescing solid samples may again provide valuable insight. With respect to lithium niobate, the results do not only resolve inconsistencies between the microscopic pictures described in literature, but also provide information regarding the extends to which the propagation of ultrashort laser pulses may be affected by (pinned-)STE absorption. It is shown that tailoring of the long-lived absorption center in the blue spectral range is possible, which may be used to avoid optical damage when high repetition rates are applied. It is important to emphasize that the microscopic model proposed in this work is mainly based on experimental indications. It is the task of further detailed theoretical investigations, e.g., via time-dependent density functional theory, to test whether the proposed model is justified. From an experimental perspective the important question remains whether (pinned-)STEs contribute to a photorefractive effect. In the experimentally easily accessible spectral range no absorption feature of mobile STEs is observed. As a complementary experimental technique, ultrafast holographic spectroscopy may reveal an excitonic contribution to photorefraction and provide further insight to STE transport and pinning phenomena.

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L'objectif de la thèse était d'étudier la mobilité de traceurs particulaires dans des milieuxcomplexes par microscopie confocale à balayage laser (CLSM) combinée avec le suivi demultiple particules (MPT) et le recouvrement de fluorescence après photoblanchiment (FRAP).Tout d'abord, nous avons étudié la diffusion de particules dans les gels formés par des protéinesglobulaires. Dans ce but, des gels avec structures variés ont été préparés en faisant varier lesconcentrations en protéine et en sel. La structure a été caractérisée par l'analyse des imagesobtenues par CLSM en termes de fonction de corrélation de paires. La mobilité de particulesavec une large gamme de tailles (2nm - 1 micron) a été étudiée à la fois dans des gels homogèneset hétérogènes et reliée à la structure du gel.Deuxièmement, nous avons étudié des émulsions eau dans eau préparées en mélangeant dessolutions aqueuses de PEO et de dextran. Il a été montré que lorsque des particules colloïdalessont ajoutées, elles sont emprisonnées à l'interface eau-eau, car elles réduisent la tensioninterfaciale. La structure et le déplacement des particules à l'interface ont été déterminés parCLSM combinée avec MPT. / The objective of the thesis was to investigate the mobility of tracer particles in complex media byConfocal Laser Scanning Microscopy (CLSM) combined with multiple particle tracking (MPT)and fluorescence recovery after photobleaching (FRAP).First, we investigated the diffusion of tracer particles in gels formed by globular proteins. Gelswith a variety of structures were prepared by varying the protein and salt concentrations. Thestructure was characterized by analysis of the CLSM images in terms of the pair correlationfunction. The mobility of particles with a broad range of sizes (2nm - 1μm) was investigatedboth in homogeneous and heterogeneous gels and related to the gel structure.Second, we studied water-in-water-emulsions prepared by mixing aqueous solutions of PEO anddextran. It is shown that when colloidal particles are added they become trapped at the waterwaterinterface because they reduce the interfacial tension. The structure and the displacement ofthe particles at the interface were determined using CLSM combined with MPT.

Die für technische Anwendungen attraktivsten Eigenschaften der Hochtemperatur-Supraleiter beruhen auf der Wechselwirkung der Materialien mit einem externen Magnetfeld. Für hochleistungsfähige Supraleiteranwendungen werden großvolumige Funktionselemente mit eindomänigem Magnetisierungsverhalten benötigt. Zur Vergrößerung der magnetischen Domäne schmelztexturierter YBa2Cu3O7-δ-Kompaktsupraleiter wurde anhand der Multi-Seeding-Technik, die Rekristallisation unter Verwendung mehrerer SmBa2Cu3O7-δ-Keimpräparate untersucht. Als Schlüsseltechnologie zur Herstellung anwendungsorientierter Supraleitererzeugnisse wurde zu Beginn der Arbeit die Keimkristallherstellung optimiert. Gemäß den Zielvorgaben stehen zukünftig quasi-einkristalline Keimkörper definierter Form und Orientierung in hoher Stückzahl zur Verfügung. Die Supraleiter betreffend ist es gelungen, für den wechselseitigen Abstand und die Ausrichtung der Keimpräparate ein Optimum zu finden sowie tolerierbare Winkel der Verschwenkung angrenzender Kristalle zu ermitteln. Es wurde festgestellt, dass das Auftreten isolierender Korngrenzeneinschlüsse mit den magnetischen Materialeigenschaften korreliert und vom Keimabstand und der Korngrenzenorientierung abhängig ist. Mit Einsatz von bis zu 16 Keimkristallen gelang es, eindomänige Supraleiterhalbzeuge mit Höchstmaßen von (79 x 39 x 20) mm3 und Remanenzflussdichten von bis zu 1,3 T zu erzeugen. Im Chargenprozess konnten abschließend Multi-Seeding-Funktionselemente mit anwendungskonformen geometrischen und magnetischen Materialeigenschaften zum Aufbau eines hochdynamischen Supraleitermotors reproduzierbar gefertigt werden. In Leistungstests wurde für die Dynamik des Motors mit 200.000 rpm/s ein Rekordwert erzielt – nun können die Motoren in der Anwendung erprobt werden.