Quantum entanglement is widely renounced as one of the most fundamental concepts of quantum mechanics. Such phenomenon exhibit non-local interaction properties which cannot be explained classically. In this thesis, we address a number of problems associated with creating, transferring and engineering of entanglement between two separate parties. The work is motivated by a desire to better understand the dynamics of entanglement between systems. In particular, the research is mainly focused on the study of the dynamics of the well known maximally entangled Bell state under different influences such as decoherence and inter-qubit coupling. We show the connection between coherence and entanglement using the system sub jected to decoherence. We also confirm the transfer of entanglement between completely isolated partite using the double Jaynes-Cummings model. Based on this result, we propose a new conservation criterion proven to be general for single excitation systems. Such conservation criterion are then compared and extended to a general N qubit systems. In addition, an attempt is made to evaluate entanglement conservation rules for the EPR- like multipartite entanglement. We also describe a new technique for solving entanglement in the top-down way ignoring physical setup.

Quantum entanglement is widely renounced as one of the most fundamental concepts of quantum mechanics. Such phenomenon exhibit non-local interaction properties which cannot be explained classically. In this thesis, we address a number of problems associated with creating, transferring and engineering of entanglement between two separate parties. The work is motivated by a desire to better understand the dynamics of entanglement between systems. In particular, the research is mainly focused on the study of the dynamics of the well known maximally entangled Bell state under different influences such as decoherence and inter-qubit coupling. We show the connection between coherence and entanglement using the system sub jected to decoherence. We also confirm the transfer of entanglement between completely isolated partite using the double Jaynes-Cummings model. Based on this result, we propose a new conservation criterion proven to be general for single excitation systems. Such conservation criterion are then compared and extended to a general N qubit systems. In addition, an attempt is made to evaluate entanglement conservation rules for the EPR- like multipartite entanglement. We also describe a new technique for solving entanglement in the top-down way ignoring physical setup.

Submitted by Emanuel Varela Cardoso (emanuel.varela@ufcg.edu.br) on 2018-10-17T18:35:17Z No. of bitstreams: 1 JOÃO GUSTAVO DA SILVA SANTOS Ó – DISSERTAÇÃO (PPGFísica) 2016.pdf: 3276092 bytes, checksum: f4b6dd7217e33af856588a93c1291306 (MD5) / Made available in DSpace on 2018-10-17T18:35:17Z (GMT). No. of bitstreams: 1 JOÃO GUSTAVO DA SILVA SANTOS Ó – DISSERTAÇÃO (PPGFísica) 2016.pdf: 3276092 bytes, checksum: f4b6dd7217e33af856588a93c1291306 (MD5) Previous issue date: 2016-07 / Capes / Desenvolvemos neste trabalho um estudo teórico da aplicação da dinâmica de campo térmico sobre o modelo de Jaynes-Cummings. De acordo com a abordagem feita por Hashizume no artigo, A new perspective to formulate a dissipative ther mo eld dynamics aplicamos os mesmos conceitos para investigar o processo de relaxação envolvido no modelo de Jaynes-Cummings. Num primeiro momento, fi zemos uma revisão de alguns elementos primordiais para a compreensão de toda a discussão envolvida nessa dissertação. Em seguida, estudamos processos de relaxação em sistemas quânticos simples, para podermos, mais tarde, traçar um paralelo entre os resultados e estabelecer alguma relação com o que foi encontrado. Diante da dinâmica de campo térmico, mas conhecida como TFD (ThermoFieldDynamics), usamos uma abordagem feita por Hashiz um e colaboradores, e investigamos como o processo de relaxação se desenvolve mediante a representação via TFD. / We develop in this work, a the or etical study of the application of theThermo eld dynamics on the model of Jaynes-Cummings. According to the approach taken by Hashizu me in the article, A new perspective to formulate a dissipative thermo eld dynamics", we use the same concepts to investigate the relaxation process involved in model Jaynes-Cummings. In the rst moment, we did are view of some key elements to comprenção all the discussion involved in this dissertation. Then, we study relaxation processes in simple quantum systems, for we could later draw a parallel between the results and establish some relationship to what was found. Front the thermal eld dynamics, butknownas TFD, we use an approach made by Hashizu me and colaborators, and we investigated how the relaxation process it developed through there presentation via TFD.

This dissertation examines E. E. Cummings's writings in the sonnet genre and in those genres to which the sonnet is related in various ways. Its fundamental point is that, despite the surface impression of poetic iconoclasm for which Cummings has a popular reputation, in choosing to write sonnets he engages in a traditional literary practice. He does this because his purpose is always to be an artist, as defined by the Aesthetic movement which influenced him. In order to argue his embracing of a traditional artistic role, the theory of genres espoused by Alastair Fowler in his book, Kinds of Literature, is used. Chapter 1 of the thesis comprises general introductory material, both to the range of Aesthetic ideas to which Cummings subscribed, and to Fowler's theory of genres. Several key generic kinds are also described. The second chapter makes use of two of these generic models, the sonnet sequence and the silva, as a way of examining Cummings's deployment of the sonnet within the larger context of his poetry collections. It is a survey of the structure of the anthologies he compiled from Tulips & Chimneys (1922) to 95 Poems (1958). The third chapter explores the three sonnet modes which Cummings first identifies and names when compiling the manuscript of Tulips & Chimneys, and continues to use in his collections up to and including is 5 (1926). Chapter 4 shows how certain themes and concerns from these early sonnets are altered and synthesised as Cummings matures from an aesthete to a Romantic poet. Sonnets from his later books are taken to be representative of three central kinds in all of his work after is 5. Chapters 3 and 4 proceed by means of relatively close readings of individual sonnets. This practice fulfils a double role: it penetrates the apparent obscurity of the more difficult poems, and it attempts to preserve the integrity of individual poems which exemplify different generic tendencies in Cummings's work. One of Cummings's reasons for writing sonnets is that the form favours the achievement of what Wordsworth calls "a feeling of intense unity". In undertaking close readings of a few sonnets I have attempted to preserve that feeling.

Der Titel des Stückes „Über das Erwachen“ resultiert aus der Beschäftigung mit den philosophisch-soziologischen Schriften Peter Sloterdijks. Immer wieder tauchen in seinen Werken Reflexionen über das Erwachen auf. Anknüpfungspunkte sind dabei vor allem die Darstellungen eines analytisch-aufgeklärten, also „wachen“ Denkens, aber auch die Beschreibung eines ganz konkret individuellen Erwachens am Morgen, des Zu-sich-kommens, der „Persönlichkeitswerdung“ nach nächtlicher „Entfremdung“. Uraufführung am 25. 06. 2003 im Großen Saal des Leipziger Gewandhauses mit Bettina Denner-Brückner - Alt, Jürgen Kurth - Bass, Leipziger Universitätschor, Pauliner Kammerorchester, Leitung: Albrecht Koch.

Die vorliegende Arbeit behandelt die Modellierung einer Quantenpunkt-LED und die Berechnung des elektrischen Stromes und der Lichtproduktion im Landauer-Büttiker-Formalismus. Die Elektron-Photon-Wechselwirkung kann im Landauer-Büttiker-Formalismus behandelt werden, indem wir annehmen, dass jedes Elektron mit einem separaten Photonenfeld interagiert. Dies erlaubt es uns, ein Elektron zusammen mit seinem Photonenfeld als „einzelnes, nicht wechselwirkendes Teilchen“ im Sinne des Landauer-Büttiker-Formalismusses zu betrachten. Wir entwickeln ein Modell einer QP-LED, dessen Elektron-Photon-Wechselwirkung auf dem Jaynes-Cummings-Modell basiert, das die Interaktion eines Quantenpunkts mit einer Mode des elektromagnetischen Feldes beschreibt. Um auch die Energieverteilung der emittierten Photonen analysieren zu können, schlagen wir ein auf einem Pauli-Fierz-Modell basiertes Modell vor. Anstelle einer einzelnen Mode modelliert es Photonen beliebiger Energie, allerdings beschränken wir uns auf den Unterraum mit maximal einem Photon. Wir beweisen eine abstrakte Landauer-Büttiker-Formel, die für alle relativ nuklearen Streusysteme gilt. Sie ist ähnlich zu dem Ergebnis von Aschbacher et al. (2007), unterscheidet sich aber in der Regularisierung des Stroms. Wir wenden das abstrakte Ergebnis auf die Jaynes-Cummings-QP-LED an. Als Startpunkt für die Berechnung der Streumatrix verallgemeinern wir die Darstellung der Streumatrix durch die Weyl-Funktion eines Randwert-Triplets von Behrndt et al. (2010) vom Fall für Störungen endlichen Ranges auf den Fall relativ nuklearer Störungen. Dies deckt insbesondere den Fall der Jaynes-Cummings-QP-LED ab. Die Resolventendifferenz der Pauli-Fierz-QP-LED ist nicht nuklear, weshalb wir eine verallgemeinerte Landauer-Büttiker-Formel für eine gewisse Klasse von Multiplikationsoperatoren beweisen, die in der Faser nuklear sind. Dieses abstrakte Resultat liefert uns auch für die Pauli-Fierz-QP-LED eine Landauer-Büttiker-Formel. / This thesis treats the modeling of a quantum dot LED and the calculation of the electric current and the light production in the Landauer-Büttiker framework. The electron-photon interaction is fitted into the Landauer-Büttiker framework by assuming that every electron interacts with a separate photon field. It allows us to consider an electron together with its photon field as a ''single non-interacting particle'' in the sense of the Landauer-Büttiker formalism. We develop a model of a QD-LED with an electron-photon interaction that is based on the Jaynes-Cummings model, which describes the interaction of a quantum dot with a single mode of the electromagnetic field. To be able to analyze the energy distribution of the emitted photons, we propose a second model of a QD-LED that is based on a one-dimensional Pauli-Fierz model. It models photons of arbitrary positive energy instead of just a single mode, but we restrict it to the subspace of at most one photon. We prove an abstract Landauer-Büttiker formula that applies to all relatively trace class interactions. It is similar to the result by Aschbacher et al. (2007), but differs in the regularization of the flux. We apply this formula to the Jaynes-Cummings QD-LED. Since knowing of the scattering matrix is essential for explicit calculations with the Landauer-Büttiker formula, we generalize a result by Behrndt et al. (2010) on a representation of the scattering matrix in terms of the Weyl function of a boundary triplet from the finite rank case to relatively trace class perturbations, which covers the case of the Jaynes-Cummings QD-LED. The resolvent difference of the Pauli-Fierz QD-LED is not trace class, whence we prove a generalized Landauer-Büttiker formula for a certain multiplication operators that are trace class in the fiber. This abstract result gives us a Landauer-Büttiker formula also for the Pauli-Fierz QD-LED.

Ce travail s'inscrit dans un questionnement sur les liens entre la littérature et la science au XXème siècle, appliqué à l’œuvre littéraire du poète américain E.E.Cummings (1884-1962). La première partie du travail consiste à voir comment Cummings répond dans son œuvre aux conceptions de la science et de la connaissance qui font partie de son arrière-plan culturel et littéraire, en particulier celles exprimées par les philosophes transcendantalistes et pragmatistes du XIXème et du début du XXème siècles. Il sera également question du caractère matérialiste et concret de l'écriture poétique de Cummings au début de sa carrière poétique, en réaction à ces courants de pensée. Les conceptions personnelles et les critiques de Cummings au sujet de la science et du langage scientifique seront ensuite dégagées : le poète s'attache à mettre en valeur les limites du langage savant et l'aspect déshumanisant des sciences et des techniques. Il montre la fracture qui s'instaure entre l'humanité et la nature, dont il souligne la spontanéité. La seconde partie étudie comment Cummings, en dépit de ses critiques, met en œuvre un véritable imaginaire scientifique dans ses poèmes et dans ses pièces de théâtre. Cet imaginaire lui permet de reconstruire sur le plan poétique la plénitude du cosmos et de l'humain mise à mal par les sciences. Le poète peut alors élaborer sa propre définition de l'intuition, proche de celle de Bergson, et esquisser le portrait du poète "homo faber", l'homme aux prises avec la matérialité du monde, dont l’œuvre et l'action répondent aux conséquences de celles de l'"homo sapiens", l'homme savant qui s'est détaché de la nature. / This dissertation questions the links between literature and science during the 20th century, as they can be observed in the literary works of American poet E.E.Cummings (1884-1962). The first part of this study is about how Cummings meets in his works to the conceptions of science and knowledge that are part of his cultural and literary background, especially those expressed by transcendantalist and pragmatist philosophers in the 19th and early 20th centuries. It will also deal with the concrete and materialistic aspect of Cummings' poetical writings at the beginning of his literary career as a reaction to these schools of thought. Cummings' personal conceptions and criticism about science and scientific langage will then be revealed : the poet endeavours to highlight the limits of scholarly langage and the deshumanizing aspect of sciences and techniques. He shows the newly installed breach between mankind and nature, whose spontaneity he emphasizes in his works. The second part studies how Cummings, in spite of his criticisms of science, makes use of a truly scientific imagination in his poems and theatrical works. This enables him to reconstruct, on a poetical level, the wholeness of cosmos and mankind that was jeopardized by science. He can then develop his own definiton of intuition which is close to that of Bergson, and draw a portait of the "homo faber" poet, or the man struggling with the materiality of cosmos as opposed to the "homo sapiens", a learned man who set himself apart from nature.

We study the phase transition super uid-Mott insulator in optical lattices through model Jaynes-Cummings-Hubbard using the fermion approximation. Initially we did a review of the Jaynes-Cummings model that is a model that describes the interaction between an atom with two levels and a quantized electromagnetic eld. Then we stu- died the properties of the phase transition super uid-Mott insulator (SF-MI) through the model Bose-Hubbard and we discuss the characteristics of the two quantum phases and the conditions for phase transition. Apply the model Jaynes-Cummings-Hubbard in order to study the in uence of topology of network Bravais linear, square, single cubic (SC), body-centered cubic (BCC) and face-centered cubic (FCC) in the phase transi- tion SF-MI to different numbers of excitation and different detuning values between the atom and the eld and we found that the Mott lobes and the critical hopping terms are not renormalizable only for the FCC network. But the regime from many excitations, the critical hopping is renormalizable to all networks and is independent of detuning. Then we study the Jaynes-Cummings-Hubbard model for a chain with the addition of the Kerr effect (nonlinear optical effect) through the approximation of fermions (FA). We observed that the Kerr effect does not cause large changes in the energy spectrum. However, the properties of the phase transition SF-MI undergoes signicant changes due to the Kerr effect. Another important feature which has been observed is that the Kerr effect favors the phase MI. / Estudamos a transi¸c ao de fase superfluido-isolante de Mott (SF-MI) em redes ´opticas via modelo Jaynes-Cummings-Hubbard utilizando a aproxima¸c ao de f´ermions. Inicialmente fazemos uma revis ao do modelo Jaynes-Cummings que descreve a intera¸c ao de um ´atomo de dois n´ıveis com um campo eletromagn´etico quantizado. Em seguida estudamos as propriedades da transi¸c ao de fase SF-MI no modelo Bose-Hubbard e discutimos as caracter´ısticas das duas fase qu anticas e as condi¸c oes para a transi¸c ao de fase. Aplicamos o modelo Jaynes-Cummings-Hubbard com a finalidade de estudarmos a influ encia da topologia das redes de Bravais linear, quadrada, c´ubica simples (SC), c´ubica de corpo centrado (BCC) e c´ubica de faces centradas (FCC) na transi¸c ao de fase SF-MI para diferentes n´umeros de excita¸c ao e diferentes valores de dessintonia entre o ´atomo e o campo e encontramos que os l´obulos de Mott n ao s ao renormaliz ´aveis apenas para a rede FCC. Mas no regime de muitas excita¸c oes, as redes BCC e FCC passam a ter o mesmo comportamento enquanto que as demais continuam com sua depend encia no n´umero de vizinhos. Em seguida, estudamos o modelo de Jaynes-Cummings-Hubbard para uma cadeia com a adi¸c ao do efeito tipo Kerr (efeito ´optico n ao-linear) atrav´es da aproxima¸c ao de f´ermions (FA). Observamos que o efeito tipo Kerr n ao provoca grandes altera¸c oes no espectro de energia. No entanto, as propriedades de transi¸c ao de fase SF-MI passam por mudan¸cas significativas devido ao efeito tipo Kerr. Outra caracter´ıstica importante que foi observada ´e que o efeito tipo Kerr favorece a fase MI.

In the main part of this thesis I study the relaxation mechanisms of charge carriers in silicon nanocrystals in SiO2 matrix. One of the potential applications of these structures lies in photovoltaics, specifically in construction of all-silicon tandem solar cells. I studied the dynamics of carriers in these structures by methods of ultrafast spectroscopy which helped to unravel the microscopic behaviour of carriers, their transport, localization etc. Furthermore I investigated the doping of such structures as the technology of doping is crucial for manufacture of pn- junctions which are the core component of solar cells. At the end I delve into the dissipative Jaynes-Cummings model by mathematical modeling and theoretical calculations which describes among others microlasers and as such comes under a field of cavity quantum electrodynamics.

This thesis is devoted to optical properties of Aharonov-Bohm quantum rings in external electromagnetic fields. It contains two problems. The first problem deals with a single-electron Aharonov-Bohm quantum ring pierced by a magnetic flux and subjected to an in-plane (lateral) electric field. We predict magneto-oscillations of the ring electric dipole moment. These oscillations are accompanied by periodic changes in the selection rules for inter-level optical transitions in the ring allowing control of polarization properties of the associated terahertz radiation. The second problem treats a single-mode microcavity with an embedded Aharonov-Bohm quantum ring, which is pierced by a magnetic flux and subjected to a lateral electric field. We show that external electric and magnetic fields provide additional means of control of the emission spectrum of the system. In particular, when the magnetic flux through the quantum ring is equal to a half-integer number of the magnetic flux quantum, a small change in the lateral electric field allows tuning of the energy levels of the quantum ring into resonance with the microcavity mode, providing an efficient way to control the quantum ring-microcavity coupling strength. Emission spectra of the system are calculated for several combinations of the applied magnetic and electric fields.