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.

X-Ray studies of the physics of matter around super-massive black-holes in nearby Seyfert galaxies

Seyfert galaxies are the closest active galactic nuclei. As such, we can use them to test the physical properties of the entire class of objects. To investigate their general properties, I took advantage of different methods of data analysis. In particular I used three different samples of objects, that, despite frequent overlaps, have been chosen to best tackle different topics: the heterogeneous BeppoS AX sample was thought to be optimized to test the average hard X-ray (E above 10 keV) properties of nearby Seyfert galaxies; the X-CfA was thought the be optimized to compare the properties of low-luminosity sources to the ones of higher luminosity and, thus, it was also used to test the emission mechanism models; finally, the XMM–Newton sample was extracted from the X-CfA sample so as to ensure a truly unbiased and well defined sample of objects to define the average properties of Seyfert galaxies. Taking advantage of the broad-band coverage of the BeppoS AX MECS and PDS instruments (between ~2-100 keV), I infer the average X-ray spectral propertiesof nearby Seyfert galaxies and in particular the photon index (~1.8), the high-energy cut-off (~290 keV), and the relative amount of cold reflection (~1.0). Moreover the unified scheme for active galactic nuclei was positively tested. The distribution of isotropic indicators used here (photon index, relative amount of reflection, high-energy cut-off and narrow FeK energy centroid) are similar in type I and type II objects while the absorbing column and the iron line equivalent width significantly differ between the two classes of sources with type II objects displaying larger absorbing columns. Taking advantage of the XMM–Newton and X–CfA samples I also deduced from measurements that 30 to 50% of type II Seyfert galaxies are Compton thick. Confirming previous results, the narrow FeK line is consistent, in Seyfert 2 galaxies, with being produced in the same matter responsible for the observed obscuration. These results support the basic picture of the unified model. Moreover, the presence of a X-ray Baldwin effect in type I sources has been measured using for the first time the 20-100 keV luminosity (EW proportional to L(20-100)^(−0.22±0.05)). This finding suggests that the torus covering factor may be a function of source luminosity, thereby suggesting a refinement of the baseline version of the unifed model itself. Using the BeppoSAX sample, it has been also recorded a possible correlation between the photon index and the amount of cold reflection in both type I and II sources. At a first glance this confirms the thermal Comptonization as the most likely origin of the high energy emission for the active galactic nuclei. This relation, in fact, naturally emerges supposing that the accretion disk penetrates, depending to the accretion rate, the central corona at different depths (Merloni et al. 2006): the higher accreting systems hosting disks down to the last stable orbit while the lower accreting systems hosting truncated disks. On the contrary, the study of the well defined X–C f A sample of Seyfert galaxies has proved that the intrinsic X-ray luminosity of nearby Seyfert galaxies can span values between 10^(38−43) erg s^−1, i.e. covering a huge range of accretion rates. The less efficient systems have been supposed to host ADAF systems without accretion disk. However, the study of the X–CfA sample has also proved the existence of correlations between optical emission lines and X-ray luminosity in the entire range of L_(X) covered by the sample. These relations are similar to the ones obtained if high-L objects are considered. Thus the emission mechanism must be similar in luminous and weak systems. A possible scenario to reconcile these somehow opposite indications is assuming that the ADAF and the two phase mechanism co-exist with different relative importance moving from low-to-high accretion systems (as suggested by the Gamma vs. R relation). The present data require that no abrupt transition between the two regimes is present. As mentioned above, the possible presence of an accretion disk has been tested using samples of nearby Seyfert galaxies. Here, to deeply investigate the flow patterns close to super-massive black-holes, three case study objects for which enough counts statistics is available have been analysed using deep X-ray observations taken with XMM–Newton. The obtained results have shown that the accretion flow can significantly differ between the objects when it is analyzed with the appropriate detail. For instance the accretion disk is well established down to the last stable orbit in a Kerr system for IRAS 13197-1627 where strong light bending effect have been measured. The accretion disk seems to be formed spiraling in the inner ~10-30 gravitational radii in NGC 3783 where time dependent and recursive modulation have been measured both in the continuum emission and in the broad emission line component. Finally, the accretion disk seems to be only weakly detectable in rk 509, with its weak broad emission line component. Finally, blueshifted resonant absorption lines have been detected in all three objects. This seems to demonstrate that, around super-massive black-holes, there is matter which is not confined in the accretion disk and moves along the line of sight with velocities as large as v~0.01-0.4c (whre c is the speed of light). Wether this matter forms winds or blobs is still matter of debate together with the assessment of the real statistical significance of the measured absorption lines. Nonetheless, if confirmed, these phenomena are of outstanding interest because they offer new potential probes for the dynamics of the innermost regions of accretion flows, to tackle the formation of ejecta/jets and to place constraints on the rate of kinetic energy injected by AGNs into the ISM and IGM. Future high energy missions (such as the planned Simbol-X and IXO) will likely allow an exciting step forward in our understanding of the flow dynamics around black holes and the formation of the highest velocity outflows.

Study of the components of quality in SO2-free wines obtained by innovative vinification protocols. Evaluation of the pre-fermentative addition of lysozyme and oenological tannins.

The research performed during the PhD candidature was intended to evaluate the quality of white wines, as a function of the reduction in SO2 use during the first steps of the winemaking process. In order to investigate the mechanism and intensity of interactions occurring between lysozyme and the principal macro-components of musts and wines, a series of experiments on model wine solutions were undertaken, focusing attention on the polyphenols, SO2, oenological tannins, pectines, ethanol, and sugar components. In the second part of this research program, a series of conventional sulphite added vinifications were compared to vinifications in which sulphur dioxide was replaced by lysozyme and consequently define potential winemaking protocols suitable for the production of SO2-free wines. To reach the final goal, the technological performance of two selected yeast strains with a low aptitude to produce SO2 during fermentation were also evaluated. The data obtained suggested that the addition of lysozyme and oenological tannins during the alcoholic fermentation could represent a promising alternative to the use of sulphur dioxide and a reliable starting point for the production of SO2-free wines. The different vinification protocols studied influenced the composition of the volatile profile in wines at the end of the alcoholic fermentation, especially with regards to alcohols and ethyl esters also a consequence of the yeast’s response to the presence or absence of sulphites during fermentation, contributing in different ways to the sensory profiles of wines. In fact, the aminoacids analysis showed that lysozyme can affect the consumption of nitrogen as a function of the yeast strain used in fermentation. During the bottle storage, the evolution of volatile compounds is affected by the presence of SO2 and oenological tannins, confirming their positive role in scaveging oxygen and maintaining the amounts of esters over certain levels, avoiding a decline in the wine’s quality. Even though a natural decrease was found on phenolic profiles due to oxidation effects caused by the presence of oxygen dissolved in the medium during the storage period, the presence of SO2 together with tannins contrasted the decay of phenolic content at the end of the fermentation. Tannins also showed a central role in preserving the polyphenolic profile of wines during the storage period, confirming their antioxidant property, acting as reductants. Our study focused on the fundamental chemistry relevant to the oxidative phenolic spoilage of white wines has demonstrated the suitability of glutathione to inhibit the production of yellow xanthylium cation pigments generated from flavanols and glyoxylic acid at the concentration that it typically exists in wine. The ability of glutathione to bind glyoxylic acid rather than acetaldehyde may enable glutathione to be used as a ‘switch’ for glyoxylic acid-induced polymerisation mechanisms, as opposed to the equivalent acetaldehyde polymerisation, in processes such as microoxidation. Further research is required to assess the ability of glutathione to prevent xanthylium cation production during the in-situ production of glyoxylic acid and in the presence of sulphur dioxide.

Cosmological perturbations in generalized theories of gravity

The first part of the thesis concerns the study of inflation in the context of a theory of gravity called "Induced Gravity" in which the gravitational coupling varies in time according to the dynamics of the very same scalar field (the "inflaton") driving inflation, while taking on the value measured today since the end of inflation. Through the analytical and numerical analysis of scalar and tensor cosmological perturbations we show that the model leads to consistent predictions for a broad variety of symmetry-breaking inflaton's potentials, once that a dimensionless parameter entering into the action is properly constrained. We also discuss the average expansion of the Universe after inflation (when the inflaton undergoes coherent oscillations about the minimum of its potential) and determine the effective equation of state. Finally, we analyze the resonant and perturbative decay of the inflaton during (p)reheating. The second part is devoted to the study of a proposal for a quantum theory of gravity dubbed "Horava-Lifshitz (HL) Gravity" which relies on power-counting renormalizability while explicitly breaking Lorentz invariance. We test a pair of variants of the theory ("projectable" and "non-projectable") on a cosmological background and with the inclusion of scalar field matter. By inspecting the quadratic action for the linear scalar cosmological perturbations we determine the actual number of propagating degrees of freedom and realize that the theory, being endowed with less symmetries than General Relativity, does admit an extra gravitational degree of freedom which is potentially unstable. More specifically, we conclude that in the case of projectable HL Gravity the extra mode is either a ghost or a tachyon, whereas in the case of non-projectable HL Gravity the extra mode can be made well-behaved for suitable choices of a pair of free dimensionless parameters and, moreover, turns out to decouple from the low-energy Physics.

Study of Venturia inaequalis sensitivity to fungicides through molecular and biological methodologies

This study was aimed to correlate the results of relative germination from in vitro tests by trifloxystrobin with those of qPCR on a wide range of V. inaequalis populations and monoconidial isolates. Samples were collected in Italian and Turkish distinct locations from orchards with different scab management. In this study, an allele-specific qPCR with primer sets designed was successfully developed to quantitatively determine the frequency of QoI-resistant allele G143A in populations and monoconidial isolates of V. inaequalis. qPCR followed a similar pattern to that obtained using in vitro conidial germination test in very sensitive and very resistant populations. However, the variability between two test results was observed in hetereogenous populations. Therefore, the results of correlations between in vitro and qPCR showed a positive but not very high correlation for Venturia inaequalis populations (R2=0.70). On the contrary, this correlation between two assessment methods was very high for monoconidial isolates (R2=0.92). Results obtained in quantitative PCR and from traditional spore germination assay differed for the same fungal population and in some cases, it is difficult to assess the resistance in the field by only qPCR. It was concluded that it is not always possible to correlate the frequency of detection of the mutation with biological assessment. In such situations, monitoring by molecular techniques must be supported by standard in vitro resistance assessments and observation of field performance in order to have correct conclusions.

Timing per l'inserimento in lista dei pazienti affetti da fibrosi cistica che necessitano di trapianto polmonare: casistica di un centro regionale di riferimento

Timing of waiting list entrance for patients with cystic fibrosis in need of pulmonary transplant: the experience of a regional referral centre Objective: Evaluation of parameters that can predict a rapid decay of general conditions of patients affected by Cystic Fibrosis (CF) with no specific criteria to be candidate to pulmonary transplant. Material and methods: Fifteen patients with CF who died for complications and 8 who underwent lung transplantation in the 2000-2010 decade, were enrolled. Clinical data 2 years before the event (body max index, FEV1%, number of EV antibiotic treatments per year, colonization with Methicillin-resistant Staphylococcus aureus (MRSA), pseudomonas aeruginosa mucosus, burkholderia cepacia, pulmonary allergic aspergilosis) were compared among the 2 groups. Results: Mean FEV1% was significantly higher and mean number of antibiotic treatment was lower in deceased than in the transplanted patients (p<0.002 and p<0.001 respectively). Although in patients who died there were no including criteria to enter the transplant list 2 years before the exitus, suggestive findings such as low BMI (17.3), high incidence of hepatic pathology (33.3%), diabetes (50%), and infections with MRSA infection (25%), Pseudomonas aeruginosa (83.3%) and burkholderia cepacia (8.3%) were found with no statistical difference with transplanted patients, suggesting those patients were at risk of severe prognosis. In patients who died, females were double than males. Conclusion: While evaluating patients with CF, negative prognostic factors such as the ones investigated in this study, should be considered to select individuals with high mortality risk who need stricter therapeutical approach and follow up. Inclusion of those patients in the transplant waiting list should be taken into account.

Beatrice Potter e la signora Webb. La politica come amministrazione del carattere

La tesi affronta la vita e la riflessione politica di Beatrice Potter collocandola all’interno del pensiero politico britannico ed europeo della fine dell’Ottocento e dei primi decenni del Novecento. Rispetto alla maggior parte della bibliografia disponibile, risulta un’autonomia e un’originalità anche rispetto alla riflessione del marito Sidney Webb. La riflessione politica di Potter è caratterizzata in primo luogo dalla ricerca del significato immediatamente politico di quella scienza sociale, che si sta affermando come approccio scientifico dominante nell’intero panorama europeo. Il lavoro è diviso in tre ampi capitoli così suddivisi: il primo ricostruisce l’eredità intellettuale di Potter, con particolare attenzione al rapporto con la filosofia evoluzionista di Herbert Spencer, suo mentore e amico. In questo capitolo vengono anche discussi i contributi di John Stuart Mill, Joseph Chamberlain, Alfred Marshall e Karl Marx e la loro influenza sull’opera di Potter. Il secondo capitolo prende in esame la sua opera prima dell’incontro con il marito e mostra come lo studio della povertà, del lavoro, della metropoli, della cooperazione e delle condizioni delle donne getti le basi di tutta la produzione successiva della partnership. Lo studio politico della povertà, cioè la messa a punto di una scienza amministrativa del carattere sociale del lavoro, rappresenta uno degli elementi principali di quella che viene qui definita un’epistemologia della democrazia. Il terzo capitolo riprende il tema cruciale della democrazia nella sua accezione «industriale» e indaga il ruolo funzionale dello Stato, anche in relazione alla teoria pluralista di Harold Laski, al socialismo guildista di George D. H. Cole e all’idealismo di Bernard Bosanquet. Centrale in questo confronto del pensiero di Potter con il più ampio dibattito degli anni venti e trenta sulla sovranità è la concezione della decadenza della civiltà capitalista e dell’emergere di una new civilisation, dopo la conversione al comunismo sovietico.