Entanglement Entropies in One-Dimensional Systems

In the thesis, we discuss some aspects of 1D quantum systems related to entanglement entropies; in particular, we develop a new numerical method for the detection of crossovers in Luttinger liquids, and we discuss the behaviour of Rényi entropies in open conformal systems, when the boundary conditions preserve their conformal invariance.

Design of a new harrow type wool transport mechanism to reduce fibre entanglement

The wool is entangled at several stages of its processing. In the conventional scouring machines, the prongs or the rakes agitate the wool and lead the fiber entanglement. Several scouring systems have been commercialized in order to reduce the fiber entanglement. In spite of the existing technologies, the conventional scouring machines are widely used in wool processing. In this thesis, a new approach for the harrow type wool transport mechanism has been introduced. The proposed mechanism has been designed based on the motion of the conventional harrow type wool transport mechanism by exploiting new synthesis concepts. The developed structure has been synthesized based on the Hrones and Nelson's "Atlas of four bar linkages". The four bar linkage has been applied for the desired trajectory of the developed wool transport mechanism. The prongs of the developed mechanism immerse the wool into the scouring liquor and gently propel forward toward the end of the machine with approximately straight line motion in a certain length instead of circular or elliptical motion typical of the conventional machines.

Quantum Correlations in Field Theory and Integrable Systems

In this thesis we will investigate some properties of one-dimensional quantum systems. From a theoretical point of view quantum models in one dimension are particularly interesting because they are strongly interacting, since particles cannot avoid each other in their motion, and you we can never ignore collisions. Yet, integrable models often generate new and non-trivial solutions, which could not be found perturbatively. In this dissertation we shall focus on two important aspects of integrable one- dimensional models: Their entanglement properties at equilibrium and their dynamical correlators after a quantum quench. The first part of the thesis will be therefore devoted to the study of the entanglement entropy in one- dimensional integrable systems, with a special focus on the XYZ spin-1/2 chain, which, in addition to being integrable, is also an interacting model. We will derive its Renyi entropies in the thermodynamic limit and its behaviour in different phases and for different values of the mass-gap will be analysed. In the second part of the thesis we will instead study the dynamics of correlators after a quantum quench , which represent a powerful tool to measure how perturbations and signals propagate through a quantum chain. The emphasis will be on the Transverse Field Ising Chain and the O(3) non-linear sigma model, which will be both studied by means of a semi-classical approach. Moreover in the last chapter we will demonstrate a general result about the dynamics of correlation functions of local observables after a quantum quench in integrable systems. In particular we will show that if there are not long-range interactions in the final Hamiltonian, then the dynamics of the model (non equal- time correlations) is described by the same statistical ensemble that describes its statical properties (equal-time correlations).

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.

Exploring Quantum Speed-up Through Cluster-state Computers

The aim of this thesis is to investigate the nature of quantum computation and the question of the quantum speed-up over classical computation by comparing two different quantum computational frameworks, the traditional quantum circuit model and the cluster-state quantum computer. After an introductory survey of the theoretical and epistemological questions concerning quantum computation, the first part of this thesis provides a presentation of cluster-state computation suitable for a philosophical audience. In spite of the computational equivalence between the two frameworks, their differences can be considered as structural. Entanglement is shown to play a fundamental role in both quantum circuits and cluster-state computers; this supports, from a new perspective, the argument that entanglement can reasonably explain the quantum speed-up over classical computation. However, quantum circuits and cluster-state computers diverge with regard to one of the explanations of quantum computation that actually accords a central role to entanglement, i.e. the Everett interpretation. It is argued that, while cluster-state quantum computation does not show an Everettian failure in accounting for the computational processes, it threatens that interpretation of being not-explanatory. This analysis presented here should be integrated in a more general work in order to include also further frameworks of quantum computation, e.g. topological quantum computation. However, what is revealed by this work is that the speed-up question does not capture all that is at stake: both quantum circuits and cluster-state computers achieve the speed-up, but the challenges that they posit go besides that specific question. Then, the existence of alternative equivalent quantum computational models suggests that the ultimate question should be moved from the speed-up to a sort of “representation theorem” for quantum computation, to be meant as the general goal of identifying the physical features underlying these alternative frameworks that allow for labelling those frameworks as “quantum computation”.

Nanostructured luminescent chemosensors for environmental and biomedical applications

Nanomaterials are nowadays widely recognised as advantageous sensing tools due to their unique properties. Some natural nanomaterials, such as DNA or hyaluronic acid analysed in this PhD thesis, have an intrinsic biocompatibility that overcomes a series of issues in the field of sensing in biological environments. Therefore, the main aim of this project was to derivatize HA chains with luminescent dyes - both organic and metal complexes - in order to obtain natural polymer-based optical sensors. A derivatization of HA with these moieties was obtained and a photophysical characterization was provided. To prove their sensing ability towards nanomaterials, the interaction with. PluS Nanoparticles, featuring an outer PEG shell, was tested. It was mostly demonstrated that the main features of the luminophores used were present in the HA nanogels as well. For example, HA@Dansyl was proven to be a luminescent probe able to sense different environment polarities. Furthermore, in HA@PA the amount of excimers/monomers emission was found to be relatable to the degree of entanglement of HA chains, that changes upon interactions with nanoparticles. Moreover, two ruthenium bipyridyl derivatives were linked to HA and it was found out that HA interacts with long DNA sequences. Also, the presence of BPA, a small molecule of environmental concern, was detected using (i) an already studied hyaluronic acid derivative with rhodamine (HA@RB) , (ii) a dizinc ruthenium complex coordinating BPA to the metal centres, and (iii) a new probe constituted by PluSNPs@DEAC and HA@RB. Despite all the systems were found to be able to detect BPA, the latter probe presented advantages in terms of sensitivity. Furthermore, the chapter 2 of this thesis is focused on the detection of a NF-κB protein in PC3 cancer cells. via confocal microscopy by following a FRET signal variation on a triplex-hairpin derivatized with a FRET couple of dyes.

Remembering the Vietnam War in Graphic Narratives

This project discusses the relation between memory and graphic novels, mainly focusing on the ongoing narration of the Vietnam War. It adopts a diachronic and philological approach to reconstruct the history of the medium and its entanglement with war, be it as instrument of propaganda or as a memory project. It follows the development of the medium in Hearst and Pulitzer newspapers, analyzing how mass culture helped consolidating a persuasive ‘war mentality’. It reflects on the role that comics played in the creation of the myth of the ‘good war’. It also shows how the ‘god war’ pattern became increasingly contested during the Vietnam War, following the questioning of the traditional “American values” promoted by the counterculture of the time. Finally, it explores how the narration (and memory) of the Vietnam War has changed after September 11, 2001, and it describes the emergence of graphic narratives written by diasporic Vietnamese graphic artists.

Feminist environmental humanities: intertwining theory and speculative fiction

This dissertation explores the entanglement between the visionary capacity of feminist theory to shape sustainable futures and the active contribution of feminist speculative fiction to the conceptual debate about the climate crisis. Over the last few years, increasing critical attention has been paid to ecofeminist perspectives on climate change, that see as a core cause of the climate crisis the patriarchal domination of nature, considered to go hand in hand with the oppression of women. What remains to be thoroughly scrutinised is the linkage between ecofeminist theories and other ethical stances capable of countering colonising epistemologies of mastery and dominion over nature. This dissertation intervenes in the debate about the master narrative of the Anthropocene, and about the one-dimensional perspective that often characterises its literary representations, from a feminist perspective that also aims at decolonising the imagination; it looks at literary texts that consider patriarchal domination of nature in its intersections with other injustices that play out within the Anthropocene, with a particular focus on race, colonialism, and capitalism. After an overview of the linkages between gender and climate change and between feminism and environmental humanities, it introduces the genre of climate fiction examining its main tropes. In an attempt to find alternatives to the mainstream narrative of the Anthropocene (namely to its gender-neutrality, colour-blindness, and anthropocentrism), it focuses on contemporary works of speculative fiction by four Anglophone women authors that particularly address the inequitable impacts of climate change experienced not only by women, but also by sexualised, racialised, and naturalised Others. These texts were chosen because of their specific engagement with the relationship between climate change, global capitalism, and a flat trust in techno-fixes on the one hand, and structural inequalities generated by patriarchy, racism, and intersecting systems of oppression on the other.

Spazi postcoloniali: dislocazioni, diaspore, cartografie

La presente tesi di dottorato si propone di ricostruire criticamente la riflessione postcoloniale sullo spazio, riconoscendo nella critica postcoloniale l’introduzione di una fondamentale interrogazione degli spazi che sviluppa cartografie concettuali originali. Il lavoro si concentra sulla duplice operazione svolta dagli studi postcoloniali rispetto al tema degli spazi, riguardando, da una parte, le istanze critiche volte a condannare e contraddire le diverse spazialità del dominio coloniale; dall’altra, elaborando in risposta delle alternative concettuali forti, tali da offrire nuove immagini e strumenti per ripensare in modo abilitante gli spazi politici per il presente globale. Rispecchiando questo duplice indirizzo, la tesi si divide in due parti, precedute da un capitolo introduttivo, volto a presentare una strategia di fondo del pensiero postcoloniale sugli spazi, quella di un "entanglement" atto a ingarbugliare produttivamente fra loro le spazialità sottoposte a divisione e segregazione da parte del dominio coloniale (capitolo 1). A seguire, una pars destruens indaga la contestazione postcoloniale di specifiche spazialità coloniali, (capitolo 2); e discute la critica postcoloniale mossa alla geografia e alla cartografia moderne, in quanto strumenti di potere/sapere coloniale, atti alla costruzione di uno spazio globale strutturalmente asimmetrico, a cui consegue però, da parte postcoloniale, l’elaborazione di contro-cartografie critiche (capitolo 3). Segue una pars construens, dedicata a due concetti-chiave della riflessione postcoloniale sullo spazio, ovvero il pianeta, indagato come “sovrascrittura del globo”, la riflessione sul quale inoltre si fa occasione, da parte del pensiero postcoloniale, per intercettare istanze ecologiche urgenti e, insieme, riflettere sul problema del cosmopolitismo (capitolo 4); e il confine, la cui ricca e complessa ri-significazione in una prospettiva postcoloniale viene qui ricostruita nelle sue molte dimensioni (capitolo 5). Seguono delle conclusioni a fare un riassunto e un bilancio degli argomenti così ripercorsi, mettendo in luce in particolare i temi della dislocazione, della diaspora e della traduzione.

Patterns of long-term settlement and land exploitation in the region of the Nile First Cataract (Egypt)

The First Cataract region (Egypt) has always played a crucial role as a border area and a crossroads for cultures and people living in adjacent landscapes. The region has its central point in the modern city of Aswan, but it extends up to the Kom Ombo Plain in the north and reaches the Bab el-Kalabsha in the south. Its eastern and western limits cannot be defined with the same precision, given that they are located in deserts. This research focused on the landscape analysis of the region intended as a complex entanglement of archaeological evidence in a geographical and natural environment whose changes impacted and, simultaneously, were influenced by human activities. Settlement patterns and land use can give interesting information on how these relationships worked from a diachronic perspective and how they shaped the region’s characteristics. To understand the links between the human presence and its evidence and the landscape of the First Cataract region, the integration of various datasets was needed, from historical and archaeological ones to the remote sensing observation of large areas. An area corresponding to ca. 18.000 km2 has been selected for this research. The chronological framework has been chosen to cover a considerable period, from the beginning of the 5th millennium BCE to the 7th century AD. Multi-temporality and multifunctionality appear as two essential aspects when the archaeological evidence of the First Cataract region is considered in its geographical and topographical setting as a general context for settlement patterns and resource exploitation analyses. A combination of remote sensing data and topographical materials has been integrated with archaeological evidence to obtain information about resource exploitation strategies and settlement adaptation from a diachronic perspective.

Low-molecular-weight gels: from the rational design to the application of versatile soft materials

Low-molecular-weight (LMW) gels are a versatile class of soft materials that gained increasing interest over the last few decades. They are made of a small percentage, often lower than 1.0 %, of organic molecules called gelators, dispersed in a liquid medium. Such molecules have a molecular weight usually lower than 1 kDa. The gelator molecules start to interact after the addition of a trigger, and form fibres, whose entanglement traps the solvent through capillary forces. A plethora of LMW gelators have been designed, including short peptides. Such gelators present several advantages: the synthesis is easy and can be easily scaled up; they are usually biocompatible and biodegradable; the gelation phenomenon can be rationalised by making small variation on the peptide scaffold; they find application in several fields. In this thesis, an overview of several peptide based LMW gels is presented. In each study, the gelation conditions were carefully studied, and the final materials were thoroughly investigated. First, the gelation ability of a fluorinated phenylalanine was assessed, to understand how the presence of a rigid moiety and the presence of fluorine may influence the gelation. In this context, a method for the dissolution of sensitive gelators was studied. Then, the control over the gel formation was studied both over time and space, taking advantage of either the pH-annealing of the gel or the reaction-diffusion of a hydrolysing reagent. Some gels were probed for various applications. Due to their ability of trapping water and organic solvents, we used gels for trapping pollutants dissolved in water, as well as a medium for the controlled release of either fragrances or bioactive compounds. Finally, the interaction of the gel matrix with a light-responsive molecule was assessed to understand wether the gel properties or the interaction of the additive with light were affected.