Quantum solitons in the XXZ model with staggered external magnetic field

The 1-D 1/2-spin XXZ model with staggered external magnetic field, when restricting to low field, can be mapped into the quantum sine-Gordon model through bosonization: this assures the presence of soliton, antisoliton and breather excitations in it. In particular, the action of the staggered field opens a gap so that these physical objects are stable against energetic fluctuations. In the present work, this model is studied both analytically and numerically. On the one hand, analytical calculations are made to solve exactly the model through Bethe ansatz: the solution for the XX + h staggered model is found first by means of Jordan-Wigner transformation and then through Bethe ansatz; after this stage, efforts are made to extend the latter approach to the XXZ + h staggered model (without finding its exact solution). On the other hand, the energies of the elementary soliton excitations are pinpointed through static DMRG (Density Matrix Renormalization Group) for different values of the parameters in the hamiltonian. Breathers are found to be in the antiferromagnetic region only, while solitons and antisolitons are present both in the ferromagnetic and antiferromagnetic region. Their single-site z-magnetization expectation values are also computed to see how they appear in real space, and time-dependent DMRG is employed to realize quenches on the hamiltonian parameters to monitor their time-evolution. The results obtained reveal the quantum nature of these objects and provide some information about their features. Further studies and a better understanding of their properties could bring to the realization of a two-level state through a soliton-antisoliton pair, in order to implement a qubit.

Analysis and development of interface components and procedures for the design and commissioning toolchains in automation systems

The objective of the thesis project, developed within the Line Control & Software Engineering team of G.D company, is to analyze and identify the appropriate tool to automate the HW configuration process using Beckhoff technologies by importing data from an ECAD tool. This would save a great deal of time, since the I/O topology created as part of the electrical planning is presently imported manually in the related SW project of the machine. Moreover, a manual import is more error-prone because of human mistake than an automatic configuration tool. First, an introduction about TwinCAT 3, EtherCAT and Automation Interface is provided; then, it is analyzed the official Beckhoff tool, XCAD Interface, and the requirements on the electrical planning to use it: the interface is realized by means of the AutomationML format. Finally, due to some limitations observed, the design and implementation of a company internal tool is performed. Tests and validation of the tool are performed on a sample production line of the company.

A framework for the environmental risk assessment of offshore carbon storage in CCS systems

Carbon capture and storage (CCS) represents an interesting climate mitigation option, however, as for any other human activity, there is the impelling need to assess and manage the associated risks. This study specifically addresses the marine environmental risk posed by CO2 leakages associated to CCS subsea engineering system, meant as offshore pipelines and injection / plugged and abandoned wells. The aim of this thesis work is to start approaching the development of a complete and standardized practical procedure to perform a quantified environmental risk assessment for CCS, with reference to the specific activities mentioned above. Such an effort would be of extreme relevance not only for companies willing to implement CCS, as a methodological guidance, but also, by uniformizing the ERA procedure, to begin changing people’s perception about CCS, that happens to be often discredited due to the evident lack of comprehensive and systematic methods to assess the impacts on the marine environment. The backbone structure of the framework developed consists on the integration of ERA’s main steps and those belonging to the quantified risk assessment (QRA), in the aim of quantitatively characterizing risk and describing it as a combination of magnitude of the consequences and their frequency. The framework developed by this work is, however, at a high level, as not every single aspect has been dealt with in the required detail. Thus, several alternative options are presented to be considered for use depending on the situation. Further specific studies should address their accuracy and efficiency and solve the knowledge gaps emerged, in order to establish and validate a final and complete procedure. Regardless of the knowledge gaps and uncertainties, that surely need to be addressed, this preliminary framework already finds some relevance in on field applications, as a non-stringent guidance to perform CCS ERA, and it constitutes the foundation of the final framework.

One-loop quantum gravity in arbitrary dimensions

In the context of perturbative quantum gravity, the first three Seeley-DeWitt coefficients represent the counterterms needed to renormalize the graviton one-loop effective action in $D=4$ dimensions. A standard procedure to compute them is by means of the traditional heat kernel method. However, these coefficients can be studied also from a first quantization perspective through the so-called $\mathcal{N} = 4$ spinning particle model. It relies on four supersymmetries on the worldline and a set of worldline gauge invariances. In the present work, a different worldline model, able to reproduce correctly the Seeley-DeWitt coefficients in arbitrary dimensions, is developed. After a covariant gauge-fixing procedure of the Einstein-Hilbert action with cosmological constant, a worldline representation of the kinetic operators identified by its quadratic approximation is found. This quantum mechanical representation can be presented in different but equivalent forms. Some of these different forms are discussed and their equivalence is verified by deriving the gauge invariant counterterms needed to renormalize quantum gravity with cosmological constant at one-loop.

Keyword-based multimedia data lookup in decentralized systems

I sistemi decentralizzati hanno permesso agli utenti di condividere informazioni senza la presenza di un intermediario centralizzato che possiede la sovranità sui dati scambiati, rischi di sicurezza e la possibilità di colli di bottiglia. Tuttavia, sono rari i sistemi pratici per il recupero delle informazioni salvate su di essi che non includano una componente centralizzata. In questo lavoro di tesi viene presentato lo sviluppo di un'applicazione il cui scopo è quello di consentire agli utenti di caricare immagini in un'architettura totalmente decentralizzata, grazie ai Decentralized File Storage e alla successiva ricerca e recupero di tali oggetti attraverso una Distributed Hash Table (DHT) in cui sono memorizzati i necessari Content IDentifiers (CID).\\ L'obiettivo principale è stato quello di trovare una migliore allocazione delle immagini all'interno del DHT attraverso l'uso dell'International Standard Content Code (ISCC), ovvero uno standard ISO che, attraverso funzioni hash content-driven, locality-sensitive e similarity-preserving, assegna i CID IPFS delle immagini ai nodi del DHT in modo efficiente, per ridurre il più possibile i salti tra i nodi e recuperare immagini coerenti con la query eseguita. Verranno, poi, analizzati i risultati ottenuti dall'allocazione dei CID delle immagini nei nodi mettendo a confronto ISCC e hash crittografico SHA-256, per verificare se ISCC rappresenti meglio la somiglianza tra le immagini allocando le immagini simili in nodi vicini tra loro.

Small polarons in spin-orbit coupled osmates

Small polarons (SP) have been thoroughly investigated in 3d transition metal oxides and they have been found to play a crucial role in physical phenomena such as charge transport, colossal magnetoresistance and surface reactivity. However, our knowledge about these quasi-particles in 5d systems remains very limited, since the more delocalised nature of the 5d orbitals reduces the strength of the Electronic Correlation (EC), making SP formation in these compounds rather unexpected. Nevertheless, the Spin-Orbit coupled Dirac-Mott insulator Ba2NaOsO6 (BNOO) represents a good candidate for enabling polaron formation in a relativistic background, due to the relatively large EC (U ∼ 3 eV) and Jahn-Teller activity. Moreover, anomalous peaks in Nuclear Magnetic Resonance (NMR) spectroscopy experiments suggest the presence of thermally activated SP dynamics when BNOO is doped with Ca atoms. We investigate SP formation in BNOO both from an electronic and structural point of view by means of fully relativistic first principles calculations. Our numerical simulations predict a stable SP ground state and agree on the value of 810 K for the dynamical process peak found by NMR experiments.