<pre>Bridging the gap between the classical and quantum regimes has consequences not only for fundamental tests of quantum theory, but for the relation between quantum mechanics and gravity. The field of levito-dynamics provides a promising platform for testing the hypotheses of the works investigating these ideas. By manipulating a macroscopic particle's motion to the scale of its ground state wavefunction, levito-dynamics offers insight into the macroscopic-quantum regime.</pre><pre><br></pre><pre>Ardent and promising research has brought the field of levito-dynamics to a state in which these tests are available. Recent work has brought a mesoscopic particle's motion to near the ground state. Several factors of decoherence are limiting efficient testing of these fundamental theories which implies the need for alternative strategies for achieving the same goal. This thesis is concerned with investigating alternative methods that may enable a mesoscopic particle to reach the quantum regime. </pre><pre><br></pre><pre><pre>In this thesis, three theoretical proposals are studied as a means for a mesoscopic particle to reach the quantum regime as well as a detailed study into one of the most important factors of heating and decoherence for optical trapping. The first study of cooling a particle's motion highlights that the rotational degrees of freedom of a levitated symmetric-top particle leads to large harmonic frequencies compared to the translational motion, offering a more accessible ground state temperature after feedback cooling is applied. An analysis of a recent experiment under similar conditions is compared with the theoretical findings and found to be consistent. <br></pre> <pre>The second method of cooling takes advantage of the decades long knowledge of atom trapping and cooling. By coupling a spin-polarized, continuously Doppler cooled atomic gas to a magnetic nanoparticle through the dipole-dipole interaction, motional energy is able to be removed from the nanoparticle. Through this method, the particle is able to reach near its quantum ground state provided the atoms are at a temperature below the nanoparticle ground state temperature and the atom number is sufficiently large.</pre> <pre>The final investigation presents the dynamics of an optically levitated dielectric disk in a Gaussian standing wave. Though few studies have been performed on disks both theoretically and experimentally, our findings show that the stable couplings between the translational and rotational degrees of freedom offer a possibility for cooling several degrees of freedom simultaneously by actively cooling a single degree freedom.</pre></pre>

No description available.

Semilocal density functionals up to the generalized gradient approximation (GGA) level cannot accurately describe band gaps of bulk solids. Meta-GGA density functionals with a dependence on the kinetic energy density ingredient (τ) can potentially give wider band gaps compared with GGAs. The recently developed TASK meta-GGA functional yields excellent band gaps of bulk solids. The accuracy of the TASK functional for band gaps of bulk solids cannot be straightforwardly transferred to low-dimensional materials due to reduced screening in low-dimensional materials. We have developed mTASK from TASK by changing (a) the tight upper-bound for one or two-electron systems (h0X) from 1.174 to 1.29 and (b) the limit of the interpolation function fX(α → ∞) of the TASK functional that interpolates the exchange enhancement factor FX(s,α) from α = 0 to 1, so that mTASK has the screening appropriate for low-dimensional materials. These two conditions guarantee the increased nonlocality within the generalized Kohn-Sham scheme in the mTASK functional and yield a better description of band gaps of low-dimensional materials. We computed the band gaps of bulk solids from mTASK having a wide range of gaps such as Ge, CdO, ZnS, MgO, NiF, Ar. The improvement in the band gaps from mTASK is more consistent than TASK for the large-gaps crystals. We have studied the band structures in two forms of transition metal dichalcogenide (TMD) monolayers, i.e., monolayer hexagonal (1H) and monolayer trigonal (1T) and their nanoribbons. The mTASK functional systematically improves the band gaps and is in close agreement with the experiments or the hybrid level HSE06 density functional for 2D single-layer and nanoribbon systems. In the second part of this assessment, we explore the large tunability of band gaps and optical absorption of phosphorene nanoribbons under mechanical bending from first-principles. Bending can induce an unoccupied edge state in armchair phosphorene nanoribbons. The electronic and optical properties of nanoribbons drastically change because of this edge state. GW-Bethe–Salpeter equation calculations for armchair phosphorene nanoribbons at different bending curvatures show that the absorption peaks generally shift toward the high energy direction with increasing curvature. Our study suggests that bright excitons can also be formed from the transition from the valence bands to the edge state when the edge state completely separates out from the continuum conduction bands. We systematically study the role of the edge state to form bound excitons at large curvatures. Our analysis suggests that the optical absorption peaks of zigzag phosphorene nanoribbons shift toward the low-energy region, and the height of the absorption peaks increases while increasingthe bending curvature. In the third part of this assessment, we extend our study of phosphorene nanoribbons to MoS2 nanoribbons under bending from GW and Bethe-Salpeter equation approaches. We find three critical bending curvatures for armchair MoS2 nanoribbons, and the edge and non-edge band gaps show a non-monotonic trend with bending. The edge band gap shows an oscillating feature with ribbon width n, with a period of ∆n=3. The binding energy and the lowest exciton energy decrease with the curvature. The large tunability of optical properties of bent MoS2 nanoribbon is applicable in tunable optoelectronic nanodevices. / Physics

Fusion research has been an ongoing research endeavour for many decades and it has the potential of providing an important part in the future of energy production. An important part of this process is to understand and control the various heating systems of the reactor where one of the most important systems being the Neutral Beam Injector (NBI) which injects particles at high velocities into the plasma. The number of fusion reactions caused by this process depends on the beam-target reactivity where the beam can be modelled in various ways. The aim of this report was to compare the results of two different approaches in modelling the beam-target reactivity. This was done using two models, Stix and TRANSP which has different strengths and weaknesses but they use the same input parameters. Hence it is interesting to assess how much accuracy is sacrificed when using the simpler model (Stix). The aim of this report was to compare beam-target reactivty calculations based on two different approaches for modelling the distribution of the beam ions. One approach (TRANSP) performs very detailed modelling of both the energy distribution and the distribution in pitch (i.e. the direction of the velocity with respect to the plasma magnetic field), but is also very time consuming. The other approach (Stix) is more simplistic but can only provide the distribution in energy (no pitch information). It was found that the beam-target reactivities calculated from these two modelling approaches typically differed by about 10-20 percent (a bit more a the very edge of the fusion plasma, but this is not a great concerns since very few fusion reactions happen in this region). The difference in reactivity values could be attributed to differences in the modelled energy distributions and the fact that the Stix model does not model the pitch distribution. These results provide useful insights about the merits and drawbacks of the TRANSP and Stix models. In particular, it can be useful for quantifying the uncertainty introduced by using the Stix model instead of TRANSP if the beam-target reactivity is used as input for interpreting neutron measurements from fusion plasmas.

The goal of this thesis is to study the transient behaviour of the SLOWPOKE-2 reactor using Monte-Carlo simulations with the G4-STORK code. G4-STORK is a 3-dimensional Monte-Carlo code derived from the GEANT4 physics simulation toolkit. Methods were developed for the proper treatment of delayed neutrons and a lumped capacitance model was used to track the time-dependent fuel properties (temperature, density) based on the fission power. By validating the methods in G4-STORK with experimental measurements we hope to extend our understanding of reactor transients as well as further develop our methods to model the transients of the next generation reactor designs. A SLOWPOKE-2 reactor such as the one at RMC was chosen for simulation due to its compact size, and well-known transient response of control rod removal and measured temperature feedback. Static simulations in G4-STORK find a neutron flux of order 10^12 cm−2 s−1 which agrees with experiment and a control rod worth of (4.9 ± 2.0) mk compared to the experimentally measured worth of 5.45 mk. Transient simulations from rod pluck-out find similar trends to the experimental findings as our results suggest a negative temperature feedback due to the doppler broadening of the U-238 absorption spectrum which contributes to the overall safety mechanism seen in the SLOWPOKE reactor. It is determined that the methods in G4-STORK provide a reasonable ability to simulate reactor transients and it is recommended that a full-core thermal-hydraulics model be coupled to G4-STORK to achieve a higher level of accuracy. / Thesis / Master of Applied Science (MASc)

This thesis discusses structural and ferroelectric properties of two well-known classes of materials, perovskite oxides and Hydrogen bonded ferroelectrics, using first-principles calculations. Certain aspects of first principles calculations are central to the problems presented in this thesis. Such as the ability to calculate polarization based on the modern theory of polarization and calculation of ferroelectric property under finite electric displacement field. Therefore, these fundamental theoretical approaches are discussed following an opening section on the basic methodology of density-functional theory. In addition to the discussion on theoretical methods, a brief review of different phenomena and techniques crucial to alter/enhance ferroelectric properties at the interfaces of perovskite materials has been presented along with examples. The first problem presented in this thesis proposes and validates an alternative quantitative measure of ferroelectric(FE) and antiferrodistortive(AFD) instabilities by means of calculating inverse capacitance and layer inverse capacitance of layered perovskites. The presented methodological approach is applied to BaTiO$_{3}$/CaTiO$_{3}$ and PbTiO$_{3}$/SrTiO$_{3}$ superlattices and it precisely estimates FE and AFD instabilities. Here we also present an approach to accurately predict the ferroelectric instabilities in large period superlattices from the statistical coefficients obtained from short period superlattices. In the second problem, we study ferroelectricity in an organic crystal(croconic acid) for which ferroelectric polarization is close to that of bulk BaTiO$_{3}$. We employ new meta-GGA functional named SCAN and revisit all structural and ferroelectric properties. Calculated X-ray absorption spectra(XAS) qualitatively and quantitatively agrees well with experimental O K-edge spectra. By discussing the origin of each XAS peak and their characteristic we demonstrate with a systematic approach the connection between ferroelectricity and XAS in croconic acid. Best to our knowledge such relation has not been realized in past. This study could prove XAS as a new way to measure ferroelectric instability in hydrogen-bonded organic ferroelectrics. / Physics

Understanding the “incomprehensible” world of materials is the biggest challenge to the materials science community. To access the properties of the materials and to utilize them for positive changes in the world are of great interest. Often scientists use approximate theories to get legitimate answers to the problems. Density functional theory (DFT) has emerged as one of the successful and powerful predictive methods in this regard. The accuracy of DFT relies on the approximate form of the exchange-correlation (EXC) functional. The most complicated form of this functional can be as accurate as more complicated and computationally robust method like Quantum Monte Carlo (QMC), Random Phase Approximation (RPA). Two newest meta-GGAs, SCAN and SCAN+rVV10 are among those functionals. Instantaneous charge fluctuation between any two objects gives rise to the van der Waals (vdW) interactions (often termed as dispersion interactions). It is a purely correlation effect of the interacting electrons and thus non-local in nature. Despite its small magnitude it plays a very important role in many systems such as weakly bound rare-gas dimers, molecular crystals, and molecule-surface interaction. The traditional semi-local functionals can not describe the non-local of vdW interactions; only short- and intermediate-range of the vdW are accounted for in these functionals. In this thesis we investigate the effect of the weak vdW interactions in surface properties, rare-gas dimers and how it can be captured seamlessly within the semi-local density functional approximation. We have used summed-up vdW series within the spherical-shell approximation to develop a new vdW correction to the meta-GGA-MS2 functional. This method has been utilized to calculate binding energy and equilibrium binding distance of different homo- and hetero- dimers and we found that this method systematically improves the MGGA-MS2 results with a very good agreement with the experimental data. The binding energy curves are plotted using this MGGA-MS2, MGGA-MS2-vdW and two other popular vdW-corrected functionals PBE-D2, vdW-DF2. From these plots it is clear that our summed-up vdW series captures the long-range part of the binding energy curve via C6, C8, and, C10 coefficients. The clean metallic surface properties such as surface energy, work functions are important and often play a crucial role in many catalytic reactions. The weak dispersion interactions present between the surfaces has significant effect on these properties. We used LDA, PBE, PBSEsol, SCAN and SCAN+rVV10 to compute the clean metallic surface properties. The SCAN+rVV10 seamlessly captures different ranges of the vdW interactions at the surface and predicts very accurate values of surface energy (σ), and work function (Φ) and interlayer relaxations (δ%). Our conclusion is adding non-local vdW correction to a good semilocal density functional such as SCAN is necessary in order to predict the weak attractive vdW forces at the metallic surface. The SCAN+rVV10 has also been employed to study the hydrogen evolution reaction (HER) on 1T-MoS2. We have chosen as a descriptor differential Gibbs free energy (ΔGH to understand the underlying mechanism of this catalytic reaction. Density functional theory calculations agree with the experimental findings. In the case of layered materials like 1TMoS2, vdW interactions play an important role in hydrogen binding, that SCAN+rVV10 calculation was able to describe precisely. We have also used SCAN and SCAN+rVV10 functionals to understand bonding of CO on (111) metal surfaces, where many approximations to DFT fail to predict correct adsorption site and adsorption energy. In this case SCAN and SCAN+rVV10 do not show systematic improvements compared to LDA or PBE, rather, both SCAN and SCAN+rVV10 overbind CO more compared to PBE but less compared to the LDA. This overbinding of CO is associated with the incorrect charge transfer from metal to molecule and presumably comes from the density-driven self-interaction error of the functionals. In this thesis we assessed different semi-local functionals to inivestigate molecule surface systems of π-conjugated molecules (thiophene, pyridine) adsorbed on Cu(111), Cu(110), Cu(100) surfaces. We find the binding mechanism of these molecules on the metallic surface is mediated by short and intermediate range vdW interactions. Calculated values of binding energies and adsorbed geometries imply that this kind of adsorption falls in the weak chemisorption regime. Structural phase transitions due to applied pressure are very important in materials science. However, pressure induced structural phase transition in early lanthanide elements such as Ce are considered as abnormal first order phase transition. The Ce α-to-γ isostructural phase transition is one of them. The volume collapse and change of magnetic properties associated with this transition are mediated by the localized f -electron. Semi-local density functionals like LDA, GGA delocalize this f -electron due to the inherent self-interaction error (SIE) of these functionals. We have tested the SCAN functional for this particular problem, and, it was found that the spin-orbit coupling calculations with SCAN not only predicts the correct magnetic ordering of the two phases, but also gives a correct minima for the high-pressure α-Ce phase and a shoulder for the low-pressure γ-Ce phase. / Physics

Water is of essential importance for life on earth, yet the physics concerning its various anomalous properties has not been fully illuminated. This thesis is dedicated to the understanding of liquid water from aspects of microscopic structures, dynamics, electronic structures, X-ray absorption spectra, and proton transfer mechanism. This thesis use the computational simulation techniques including density functional theory (DFT), ab initio molecular dynamics (AIMD), and theoretical models for X-ray absorption spectra (XAS) to investigate the dynamics and electronic structures of liquid water system. The topics investigated in this thesis include a comprehensive evaluation on the simulation of liquid water using the newly developed SCAN meta-GGA functional, a systematic modeling of the liquid-water XAS using advanced ab initio approaches, and an explanation for a long-puzzling question that why hydronium diffuses faster than hydroxide in liquid water. Overall, significant contributions have been made to the understanding of liquid water and ionic solutions in the microscopic level through the aid of ab initio computational modeling. / Physics

In dieser Arbeit werden Fortschritte in der Elektronenptychographie vorgestellt, die ihre Vielseitigkeit als Technik in der Elektronen-Phasenkontrastmikroskopie verbessern. Anstatt sich auf eine hochauflösende Elektronenoptik zu stützen, rekonstruiert die Ptychographie die Proben auf der Grundlage ihrer kohärenten Beugungssignale mit Hilfe von Berechnungsalgorithmen. Dieser Ansatz ermöglicht es, die Grenzen der konventionellen, auf Optik basierenden Elektronenmikroskopie zu überwinden und eine noch nie dagewesene sub-Angstrom Auflösung in den resultierenden Bildern zu erreichen. In dieser Arbeit werden zunächst die theoretischen, experimentellen und algorithmischen Grundlagen der Elektronenptychographie vorgestellt und in den Kontext der bestehenden rastergestützten Elektronenmikroskopietechniken gestellt. Darüber hinaus wird ein alternativer ptychographischer Phasengewinnungsalgorithmus entwickelt und seine Leistungsfähigkeit sowie die Qualität und räumliche Auflösung der Rekonstruktionen analysiert. Weiterhin befasst sich die Arbeit mit der Integration von Methoden des maschinellen Lernens in die Elektronenptychographie und schlägt einen spezifischen Ansatz zur Verbesserung der Rekonstruktionsqualität unter suboptimalen Versuchsbedingungen vor. Außerdem wird die Kombination von Ptychographie mit Defokusserienmessungen hervorgehoben, die eine verbesserte Tiefenauflösung bei ptychographischen Rekonstruktionen ermöglicht und uns somit dem ultimativen Ziel näher bringt, quantitative Rekonstruktionen von beliebig dicker Proben mit atomarer Auflösung in drei Dimensionen zu erzeugen. Der letzte Teil der Arbeit stellt einen Paradigmenwechsel bei den Scananforderungen für die Ptychographie vor und zeigt Anwendungen dieses neuen Ansatzes unter Bedingungen niedriger Dosis. / This thesis presents advancements in electron ptychography, enhancing its versatility as an electron phase-contrast microscopy technique. Rather than relying on high-resolution electron optics, ptychography reconstructs specimens based on their coherent diffraction signals using computational algorithms. This approach allows us to surpass the limitations of conventional optics-based electron microscopy, achieving an unprecedented sub-Angstrom resolution in the resulting images. The thesis initially introduces the theoretical, experimental, and algorithmic principles of electron ptychography, contextualizing them within the landscape of existing scanning-based electron microscopy techniques. Additionally, it develops an alternative ptychographic phase retrieval algorithm, analyzing its performance and also the quality and the spatial resolution of its reconstructions. Moreover, the thesis delves into the integration of machine learning methods into electron ptychography, proposing a specific approach to enhance reconstruction quality under suboptimal experimental conditions. Furthermore, it highlights the fusion of ptychography with defocus series measurements, offering improved depth resolution in ptychographic reconstructions, which therefore brings us closer to the ultimate goal of quantitative reconstructions of arbitrarily thick specimens at atomic resolution in three dimensions. The final part of the thesis introduces a paradigm shift in scanning requirements for ptychography and showcases applications of this novel approach under low-dose conditions.

In this thesis we explore in particular the dynamics of a special type of quasi-particle in pi-conjugated materials termed polaron, the origin of which is intimately related to the strong interactions between the electronic and the vibrational degrees of freedom within these systems. In order to conduct such studies with the particular focus of each appended paper, we simultaneously solve the time-dependent Schrödinger equation and the lattice equation of motion with a three-dimensional extension of the famous Su-Schrieffer-Heeger (SSH) model Hamiltonian. In particular, we demonstrate in Paper I the applicability of the method to model transport dynamics in molecular crystals in a region were neither band theory nor perturbative treatments such as the Holstein model and extended Marcus theory apply. In Paper II we expand the model Hamiltonian to treat the revolution of phenylene rings around the sigma-bonds and demonstrate the great impact of stochastic ring torsion on the intra-chain mobility in conjugated polymers using poly[phenylene vinylene] (PPV) as a model system. Finally, in Paper III we go beyond the original purpose of the methodology and utilize its great flexibility to study radiationless relaxations of hot excitons. / Report code: LiU-TEK-LIC-2007:4.