Correlations and Quantum Dynamics of 1D Fermionic Models: New Results for the Kitaev Chain with Long-Range Pairing

In the first part of the thesis, we propose an exactly-solvable one-dimensional model for fermions with long-range p-wave pairing decaying with distance as a power law. We studied the phase diagram by analyzing the critical lines, the decay of correlation functions and the scaling of the von Neumann entropy with the system size. We found two gapped regimes, where correlation functions decay (i) exponentially at short range and algebraically at long range, (ii) purely algebraically. In the latter the entanglement entropy is found to diverge logarithmically. Most interestingly, along the critical lines, long-range pairing breaks also the conformal symmetry. This can be detected via the dynamics of entanglement following a quench. In the second part of the thesis we studied the evolution in time of the entanglement entropy for the Ising model in a transverse field varying linearly in time with different velocities. We found different regimes: an adiabatic one (small velocities) when the system evolves according the instantaneous ground state; a sudden quench (large velocities) when the system is essentially frozen to its initial state; and an intermediate one, where the entropy starts growing linearly but then displays oscillations (also as a function of the velocity). Finally, we discussed the Kibble-Zurek mechanism for the transition between the paramagnetic and the ordered phase.

Spatial and temporal characterisation of ground deformation recorded by geodetic techniques

A critical point in the analysis of ground displacements time series is the development of data driven methods that allow the different sources that generate the observed displacements to be discerned and characterised. A widely used multivariate statistical technique is the Principal Component Analysis (PCA), which allows reducing the dimensionality of the data space maintaining most of the variance of the dataset explained. Anyway, PCA does not perform well in finding the solution to the so-called Blind Source Separation (BSS) problem, i.e. in recovering and separating the original sources that generated the observed data. This is mainly due to the assumptions on which PCA relies: it looks for a new Euclidean space where the projected data are uncorrelated. The Independent Component Analysis (ICA) is a popular technique adopted to approach this problem. However, the independence condition is not easy to impose, and it is often necessary to introduce some approximations. To work around this problem, I use a variational bayesian ICA (vbICA) method, which models the probability density function (pdf) of each source signal using a mix of Gaussian distributions. This technique allows for more flexibility in the description of the pdf of the sources, giving a more reliable estimate of them. Here I present the application of the vbICA technique to GPS position time series. First, I use vbICA on synthetic data that simulate a seismic cycle (interseismic + coseismic + postseismic + seasonal + noise) and a volcanic source, and I study the ability of the algorithm to recover the original (known) sources of deformation. Secondly, I apply vbICA to different tectonically active scenarios, such as the 2009 L'Aquila (central Italy) earthquake, the 2012 Emilia (northern Italy) seismic sequence, and the 2006 Guerrero (Mexico) Slow Slip Event (SSE).

Language can't be frozen Analisi di traduzione e doppiaggio del lungometraggio animato Frozen

Un'analisi dove si possono riscontrare le problematiche della traduzione dei film d'animazione comparando le soluzioni traduttive degli adattatori delle versioni del film Frozen in inglese, italiano, spagnolo e spagnolo sudamericano. Nello specifico tratta della presenza di riferimenti culturali, della tradizione linguistica del doppiaggio italiano, della scelta delle voci e dello stile del canto nei lungometraggi Disney.

Antarctic cloud spectral emission from ground-based measurements, a focus on far infrared signatures

The present work belongs to the PRANA project, the first extensive field campaign of observation of atmospheric emission spectra covering the Far InfraRed spectral region, for more than two years. The principal deployed instrument is REFIR-PAD, a Fourier transform spectrometer used by us to study Antarctic cloud properties. A dataset covering the whole 2013 has been analyzed and, firstly, a selection of good quality spectra is performed, using, as thresholds, radiance values in few chosen spectral regions. These spectra are described in a synthetic way averaging radiances in selected intervals, converting them into BTs and finally considering the differences between each pair of them. A supervised feature selection algorithm is implemented with the purpose to select the features really informative about the presence, the phase and the type of cloud. Hence, training and test sets are collected, by means of Lidar quick-looks. The supervised classification step of the overall monthly datasets is performed using a SVM. On the base of this classification and with the help of Lidar observations, 29 non-precipitating ice cloud case studies are selected. A single spectrum, or at most an average over two or three spectra, is processed by means of the retrieval algorithm RT-RET, exploiting some main IR window channels, in order to extract cloud properties. Retrieved effective radii and optical depths are analyzed, to compare them with literature studies and to evaluate possible seasonal trends. Finally, retrieval output atmospheric profiles are used as inputs for simulations, assuming two different crystal habits, with the aim to examine our ability to reproduce radiances in the FIR. Substantial mis-estimations are found for FIR micro-windows: a high variability is observed in the spectral pattern of simulation deviations from measured spectra and an effort to link these deviations to cloud parameters has been performed.

Laboratory and field investigation of the performance of suction drains, a novel low-carbon technology for ground stabilization

Con riferimento alla realizzazione di tunnel per servizi interrati, l’incertezza che contraddistingue il quadro geologico, oltre che incidere sui costi, riveste un ruolo chiave nella progettazione preliminare. Sebbene un’approfondita caratterizzazione geotecnica e geologica del volume di terreno inerente l’opera di scavo sia generalmente parte integrante del progetto, non è comunque possibile eliminare del tutto tali incertezze per via dell’estensione del volume interessato oltre che per la disomogeneità che sempre contraddistingue il terreno. Generalmente, investigazioni in corso d’opera e interventi di stabilizzazione devono essere previsti per contenere i costi di perforazione ed ottimizzare la progettazione. Ad esempio, tra i metodi di esplorazione geotecnica figurano i tunnel pilota, i quali sono in grado di garantire un’ottimale caratterizzazione del quadro geotecnico del sottosuolo. Con riferimento agli interventi di stabilizzazione del terreno, adottabili laddove una perforazione tradizionale non consentirebbe il tunnelling, vi è un vasta gamma di scelta. Pertanto, da una prima analisi delle problematiche connesse al tunnelling emerge che la stabilizzazione delle facce di scavo riveste un’importanza e un risconto applicativo di prim’ordine. Questa tesi si inserisce all’interno di un progetto che promuove un’innovativa ed economica tecnica di stabilizzazione dei tunnel per suzione tenendo quindi conto dell’influenza della suzione sulla coesione non drenata.

Implementazione di un algoritmo di navigazione autonoma di alto livello e sviluppo software di una Control Ground Station

Caratteristiche hardware di un rover terrestre (progetto SHERPA). Implementazione tramite il framework ROS di un algoritmo di alto livello di navigazione autonoma basato su due possibili algoritmi di basso livello: LOS (Lightweight Object Streaming developed by BlueBotics) o Navigation Stack. Sviluppo di una Control Ground Station (Java) basata su: protocollo SSH2 oppure sfruttando la libreria LOS.

Pistol thrown to the ground by shooter after fatal self inflicted gunshot wound to the chest

We report the case of a 46-year-old man found dead in his apartment in a chair with a gunshot wound in his chest. All circumstances pointed to suicide as the manner of death. Finding the weapon, a SIG Sauer P228 pistol, about 2 m away from the decedent with an obstacle between weapon and corpse however generated speculation about third party involvement. Scene investigations and ballistic calculations showed that with a high probability the weapon must have been purposefully thrown away by the decedent after he fired the lethal gunshot.