Chan Chak Ming = 二元玻色-愛因斯坦凝聚態之硏究 / 陳澤明. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2001. / Includes bibliographical references (leaves [100]-104). / Text in English; abstracts in English and Chinese. / Chan Chak Ming = Er yuan Bose-Aiyinsitan ning ju tai zhi yan jiu / Chen Zeming. / Abstract --- p.i / Acknowledgments --- p.ii / Contents --- p.iii / List of Figures --- p.vi / Chapter Chapter 1. --- Introduction --- p.1 / Chapter Chapter 2. --- Theory of Bose-Einstein Condensate (BEC) --- p.4 / Chapter 2.1 --- Trapped Ideal Bose Gas --- p.5 / Chapter 2.2 --- Bogoliubov Theory of Weakly Interacting Bosons --- p.7 / Chapter 2.2.1 --- One-component BEC --- p.7 / Chapter 2.2.2 --- Two-component BEC --- p.12 / Chapter Chapter 3. --- Condensate Wavefunctions and Collective Excitations --- p.16 / Chapter 3.1 --- Properties of Condensate Wavefunctions --- p.16 / Chapter 3.2 --- Collective Excitations --- p.21 / Chapter 3.3 --- Appendix: Numerical Methods and Practical Procedures --- p.26 / Chapter 3.3.1 --- Gradient Descent Method --- p.27 / Chapter 3.3.2 --- Iterative Diagonalization Method --- p.28 / Chapter 3.3.3 --- Practical Procedures --- p.30 / Chapter Chapter 4. --- Noncondensate Atoms in Homogeneous BEC --- p.33 / Chapter 4.1 --- Noncondensate Atoms in One-Component BEC --- p.33 / Chapter 4.2 --- Bogoliubov Theory for Two-species Homogeneous BEC --- p.35 / Chapter 4.3 --- Same Mass System: m1= m2 --- p.37 / Chapter 4.4 --- Unequal Mass System: m1 ≠ m2 --- p.48 / Chapter 4.5 --- Summary --- p.54 / Chapter Chapter 5. --- Noncondensate Atoms in a Trapped BEC --- p.55 / Chapter 5.1 --- Case I: The Noncondensate Atoms in the Mixture of Two Spin States of 87Rb --- p.57 / Chapter 5.2 --- Case II: The Noncondensate Atom in the Mixture of 87Rb and 23Na --- p.61 / Chapter 5.3 --- Summary --- p.64 / Chapter Chapter 6. --- Two-component BEC in Relative Motion --- p.65 / Chapter 6.1 --- Bogoliubov Theory for Motional Two BEC --- p.65 / Chapter 6.2 --- Stability Analysis --- p.69 / Chapter 6.2.1 --- Dynamical Stability Analysis --- p.69 / Chapter 6.2.2 --- Anomalous Mode Analysis --- p.75 / Chapter 6.2.3 --- "Critical Velocity, Anomalous Modes Critical Velocity and Sound Velocities" --- p.78 / Chapter 6.3 --- Motional Two-component BEC in a Ring --- p.80 / Chapter 6.4 --- Two-component BEC of the Same Species --- p.85 / Chapter 6.4.1 --- Moving Particles in Momentum Space --- p.88 / Chapter 6.4.2 --- Moving Particles in Real Space --- p.93 / Chapter 6.4.2.1 --- Strong coupling regime: (g > k02/2) --- p.93 / Chapter 6.4.2.2 --- Weak-coupling regime: (g《<k02/2) --- p.95 / Chapter 6.5 --- Summary --- p.95 / Chapter Chapter 7. --- Conclusion --- p.93 / Bibliography --- p.100

A theoretical framework describing the carbon nanotubes interaction, involving two distinct approaches, is presented. Based on the results obtained practical applications using carbon nanotubes are further proposed. First a classical approach is employed for different geometrical configurations, such as parallel or concentric carbon nanotubes. For all the cases analytical expressions for the systems potential energies are derived. The results obtained using the classical approach are used to propose a few practical applications. These applications include a non-contact device for profiling surfaces and a custom telescopic double wall carbon nanotube for nanolithography applications. It is expected that such devices can be effectively used with major advantages. Next the interaction between nanotubes is considered using a quantum electrodynamics approach suitable for dispersing and absorbing media. Each carbon nanotube is characterized by its individual full dielectric response. The method also allows taking into account the full carbon nanotube cylindrical geometry by imposing the appropriate boundary conditions at the nanotubes surfaces. It is found that at small nanotube separations, similar to their equilibrium distances, the interaction is dominated by the collective excitations in the electron energy loss spectra originating from interband transitions. Furthermore, it is shown that the collective surface excitations and their chirality dependent characteristics play a profound role in the interaction strength in double wall carbon nanotube systems. The obtained results are in good agreement with experimental measurements on determining the chirality of individual double wall carbon nanotubes

Neutron-rich rare-earth nuclei around the maximum of collectivity are predicted to exist with an extremely stable intrinsic configuration in their ground-state structure. Due to the high degree of axial symmetry and large deformation, these nuclei are also excellent candidates for having long-lived high-K isomers. The present work concerns a study of the structure of the yrast bands and a search for isomers in the neutron-rich 68Er isotopes. Excited states of 68Er isotopes were populated via multi-nucleon transfer reactions. A 859 MeV 136Xe-beam was used to bombard a 170Er-target. The experimental setup consisted of the high-resolution γ-ray spectrometer AGATA coupled to the heavy-ion magnetic spectrometer PRISMA. The experiment collected 2 TB of useful data corresponding to 3 days of effective beam time. Beam-like fragments were identified by the PRISMA specrometer placed at the grazing angle of 44 degrees. PRISMA allows for Z, A and q identification as well as TOF and velocity vector determination. This is required for the Doppler correction of the emitted γ rays detected in time coincidence with AGATA. A good Z and very clean A separation has been achieved in PRISMA. Making use of two-body kinematics, Doppler corrected γ-ray spectra for target-like fragments were obtained as well. Due to the novel techniques of PSA and γ-ray tracking, AGATA provided high-quality γ-ray spectra for both beam-like xenon and target-like erbium isotopes. Known yrast bands and isomeric states in neutron-rich erbium isotopes were observed. A candidate for the decay of an isomeric state with Eγ=184 keV  in 173Er, which has no previously known excited states, was identified.

No description available.

A extensão dos fenômenos quânticos em escala macroscópica é responsável por toda uma classe de efeitos como a supercondutividade, superfluidez, e condensação de Bose-Einstein, as quais desempenham um papel central na física ao longo do século passado. A produção dos primeiros condensados de Bose-Einstein tornou possível a realização de experimentos envolvendo fenômenos quânticos macroscópicos com um nível sem precedentes de controle dos parâmetros externos. As correntes persistentes em condensados estão intimamente relacionados com a nucleação de vórtices quantificados, que são defeitos topológicos como resposta à transferência de quanta de momento angular. Um método convencional para geração de tais defeitos consiste em confinar a nuvem atômica condensada em uma armadilha com rotação. Acontece que, para velocidades angulares acima de um valor crítico, estados de vórtice se tornam energeticamente favoráveis, induzindo assim a criação de vórtices quânticos. Realizações experimentais de condensados de átomos de metais alcalinos confinados por potenciais dependentes do tempo permitiram a observação não só de redes de vórtices, mas também de turbulência quântica. Uma vez que a turbulência quântica é caracterizada pela presença de um emaranhado de vórtices quânticos interagindo entre si, uma correta compreensão da dinâmica, formação e estabilidade de vórtices tem se mostrado de grande importância sendo objeto de muitos trabalhos teóricos. Em particular, o papel das excitações acústicas geradas pelo decaimento de vórtices de multipla carga no desenvolvimento de turbulência ainda é uma questão em aberto. Este trabalho tem como objetivo fornecer um conjunto de ferramentas que ajude a identificar a presença, como também a carga de vórtices em nuvens (não turbulentas) observadas utilizando imagens de tempo-de-voo. Temos feito um estudo detalhado de condensados contendo vórtices carga múltipla colocados no seu centro, onde a dinâmica do tempo-de-voo é apenas de nossos pontos de interesse. Devido ao controle que este sistema fornece experimentalmente, os modos coletivos tornam-se uma descrição importante, uma vez que podem ser excitadas usando métodos experimentais bem estabelecido tal como a modulação do comprimento de espalhamento de ondas-s, e que também pode ser responsável pelo decaimento do vórtice. Para tais fins, temos utilizado o método variacional (semi-analítico), e o cálculo totalmente numérico da equação de Gross-Pitaevskii. Assim, descrevemos os modos coletivos que acoplam a dinâmica do vórtice com as oscilações das componentes externas do condensado, bem como os efeitos em tempo-de-voo. O momento angular atua aumentando a energia cinética em torno do núcleo de vórtice, que implica em um aumento mais rápido da direção perpendicular a este. Esta situação desloca as freqüências de oscilações coletivas de um estado livre de vórtice, e gera modos coletivos mais ricos devido ao acoplamento. Agora, existem quatro modos possíveis, sendo dois tipos de modo monopolar e dois tipos de modos de quadrupolo. A diferença dentre tais modos é a fase de oscilação do vórtice. Quando se considera flutuações sem simetria polar, seus modos coletivos resultam no decaimento do vórtice. A fim de controlar e prevenir estes processos propusemos três mecanismos dinâmicos, tais como a modulação de comprimento de espalhamento, a modulação das frequências da armadilha harmônica e modulação da amplitude do potencial de Laguerre-Gauss. O último tem provado ser mais eficaz. / The extension of quantum phenomena into macroscopic scales is responsible for a whole class of effects such as superconductivity, superfluidity, and Bose-Einstein condensation, which played central roles in physics throughout the last century. The production of the first Bose-Einstein condensates made possible the realization of experiments involving macroscopic quantum phenomena with an unprecedented level of control of the external parameters. The persistent currents in condensates are intimately related to the nucleation of quantized vortices, which are topological defects as response to transference of quanta of angular momentum. A conventional method for generation of such defects consists in confining the condensed atomic cloud into a rotating trap. It turns out that, for angular velocities higher than a critical value, vortex states become energetically favorable, thus inducing the creation of quantized vortices. Experimental realizations of condensed alkali-metal atoms confined by more general time-dependent potentials allowed the observation not only of vortex lattices but also of quantum turbulence. Since quantum turbulence is characterized by the presence of a self-interacting tangle of quantized vortices, the correct understanding of dynamics, formation, and stability of vortices has shown to be of paramount importance being the subject of many theoretical works. In particular, the role of acoustic excitations generated by decaying multi-charged vortices in the development of turbulence is still an open question. This work aims to provide a set of tools that helps to identify the presence as well as the charge of vortices in non-turbulent clouds observed using time-of-flight pictures. We have done a detailed study of condensates containing multi-charged vortices placed at its center where time-of-flight dynamics is only one point of our interest. Due to the control that this system provides experimentally, the collective modes become an important description since they can be excited using well stablished experimental methods as such as modulation of the s-wave scattering length, and they can also be responsible to vortex decaying. For such purposes we have used the semi-analytical variational method, and the fully numerical calculation of Gross-Pitaevskii equation. Thus we have describes the collective modes that couples dynamics of vortex with the oscillation of external components of condensed atomic cloud as well as the effects in time-of-flight. The angular momentum acts increasing the kinetic energy around the vortex core, which results in a faster expansion of perpendicular direction to it. This situation shifts the frequencies of collective oscillations of a vortex-free state, and generates richer collective modes due the coupling. Now there are four possible modes, being two types of monopole mode and two types of quadrupole modes. The difference among these types is the phase of vortex oscillation. When one considers fluctuations without polar symmetry, their collective modes result in the vortex decaying. In order to control and prevent these processes we have proposed three dynamical mechanisms such as modulation of s-wave scattering length, modulation of frequencies of harmonic trap, and modulation of the amplitude of Laguerre-Gauss potential. The last one has proven to be more effective.

L'4He et l'3He sont des systèmes modèles pour comprendre les propriétés quantiques de la matière fortement corrélée. C'est pour cette raison que plusieurs études ont été consacrées à la compréhension de leur dynamique. A basses températures où les effets quantiques jouent un rôle essentiel, les excitations élémentaires dans l'4He sont décrites par un mode collectif d'excitations: phonon-roton. Par contre pour un système d'3He la description est plus complexe, le spectre d'excitation a deux composantes: un mode collectif (zéro-son) et un continuum d'excitations incohérentes de type particule-trou. Les deux sont bien décrites par la théorie de Landau des liquides de Fermi qui trouve sa validité pour des petits vecteurs d'onde. Jusqu'à présent, on supposait que la dynamique dans les liquides de Fermi à vecteurs d'onde élevés était essentiellement incohérente. Cette thèse porte sur l'exploration, par diffusion inélastique de neutrons, des excitations collectives dans l'3He liquide 2D adsorbé sur un substrat de graphite. Un tel travail expérimental requiert trois ingrédients essentiels : un réfrigérateur à dilution afin de travailler à basses températures, un spectromètre temps de vol afin de mesurer le facteur de structure dynamique du système et un substrat solide (graphite exfolié ZYX) pour la préparation de films d'3He-2D par physisorption. Nos expériences sur ces films d'3He déposés en deuxième couche sur de l'4He solide adsorbé sur le graphite nous ont permis de faire les observations suivantes : à petit vecteur d'onde, le zéro-son est plus proche de la bande particule-trou que celui observé dans le cas de l'3He massif, tandis qu'à fort vecteur d'onde le mode collectif entre dans le continuum et réapparait de l'autre côté. Cette nouvelle branche, observée pour la première fois, est aujourd'hui décrite par la théorie dynamique à N-corps développée par nos collaborateurs de l'université Johannes Kepler de Linz, Autriche. Au cours de ce travail de thèse plusieurs techniques expérimentales ont été développées, en particulier, un réfrigérateur à dilution sans fluide cryogénique robuste adapté à des expériences de diffusion neutronique. Son optimisation a permis de réduire le temps de refroidissement de ce type de réfrigérateurs. / 4He and 3He are model systems for understanding quantum properties of strongly interacting matter. For this reason many studies have been devoted for the understanding of their dynamics. At low temperatures at which quantum effects play an essential role, the elementary excitations in 4He are described by a phonon-roton collective mode. For 3He, the physical description is more complicated, the spectrum has two components: collective excitations (zero-sound) and incoherent particle-hole excitations. Both are described by Landau's theory of Fermi liquids which is valid at low wave vectors. So far, it was thus believed that the dynamics at high wave vectors is essentially incoherent. This thesis is mainly concerned by exploring the collective excitations of a two dimensional 3He film adsorbed on graphite, using inelastic neutron scattering. Such an experiment has three main requirements: a dilution refrigerator in order to work at low temperatures, a time of flight spectrometer for measuring the dynamical structure factor of 3He and a solid substrate (exfoliated graphite ZYX) to obtain a two dimensional film by physical adsorption. Our investigations of the dynamics in two-dimensional 3He adsorbed on graphite preplated with 4He films have revealed important features: At low wave-vectors, the zero-sound mode is considerably depressed compared to bulk 3He. At higher wave vectors, the collective excitations branch enters the particle-hole continuum, and reappears at the lower energy branch of the continuum. This new branch, observed for the first time, is described by the dynamic many-body theory developed by our collaborators from Johannes Kepler University, Linz, Austria. During this work several low temperature techniques have been developed, in particular a robust, cryogen-free dilution refrigerator adapted to the demanding conditions of a neutron scattering experiments. Due to its efficient design, the cooling time has been considerably reduced compared to that of refrigerators of the same type developed in the past.

A extensão dos fenômenos quânticos em escala macroscópica é responsável por toda uma classe de efeitos como a supercondutividade, superfluidez, e condensação de Bose-Einstein, as quais desempenham um papel central na física ao longo do século passado. A produção dos primeiros condensados de Bose-Einstein tornou possível a realização de experimentos envolvendo fenômenos quânticos macroscópicos com um nível sem precedentes de controle dos parâmetros externos. As correntes persistentes em condensados estão intimamente relacionados com a nucleação de vórtices quantificados, que são defeitos topológicos como resposta à transferência de quanta de momento angular. Um método convencional para geração de tais defeitos consiste em confinar a nuvem atômica condensada em uma armadilha com rotação. Acontece que, para velocidades angulares acima de um valor crítico, estados de vórtice se tornam energeticamente favoráveis, induzindo assim a criação de vórtices quânticos. Realizações experimentais de condensados de átomos de metais alcalinos confinados por potenciais dependentes do tempo permitiram a observação não só de redes de vórtices, mas também de turbulência quântica. Uma vez que a turbulência quântica é caracterizada pela presença de um emaranhado de vórtices quânticos interagindo entre si, uma correta compreensão da dinâmica, formação e estabilidade de vórtices tem se mostrado de grande importância sendo objeto de muitos trabalhos teóricos. Em particular, o papel das excitações acústicas geradas pelo decaimento de vórtices de multipla carga no desenvolvimento de turbulência ainda é uma questão em aberto. Este trabalho tem como objetivo fornecer um conjunto de ferramentas que ajude a identificar a presença, como também a carga de vórtices em nuvens (não turbulentas) observadas utilizando imagens de tempo-de-voo. Temos feito um estudo detalhado de condensados contendo vórtices carga múltipla colocados no seu centro, onde a dinâmica do tempo-de-voo é apenas de nossos pontos de interesse. Devido ao controle que este sistema fornece experimentalmente, os modos coletivos tornam-se uma descrição importante, uma vez que podem ser excitadas usando métodos experimentais bem estabelecido tal como a modulação do comprimento de espalhamento de ondas-s, e que também pode ser responsável pelo decaimento do vórtice. Para tais fins, temos utilizado o método variacional (semi-analítico), e o cálculo totalmente numérico da equação de Gross-Pitaevskii. Assim, descrevemos os modos coletivos que acoplam a dinâmica do vórtice com as oscilações das componentes externas do condensado, bem como os efeitos em tempo-de-voo. O momento angular atua aumentando a energia cinética em torno do núcleo de vórtice, que implica em um aumento mais rápido da direção perpendicular a este. Esta situação desloca as freqüências de oscilações coletivas de um estado livre de vórtice, e gera modos coletivos mais ricos devido ao acoplamento. Agora, existem quatro modos possíveis, sendo dois tipos de modo monopolar e dois tipos de modos de quadrupolo. A diferença dentre tais modos é a fase de oscilação do vórtice. Quando se considera flutuações sem simetria polar, seus modos coletivos resultam no decaimento do vórtice. A fim de controlar e prevenir estes processos propusemos três mecanismos dinâmicos, tais como a modulação de comprimento de espalhamento, a modulação das frequências da armadilha harmônica e modulação da amplitude do potencial de Laguerre-Gauss. O último tem provado ser mais eficaz. / The extension of quantum phenomena into macroscopic scales is responsible for a whole class of effects such as superconductivity, superfluidity, and Bose-Einstein condensation, which played central roles in physics throughout the last century. The production of the first Bose-Einstein condensates made possible the realization of experiments involving macroscopic quantum phenomena with an unprecedented level of control of the external parameters. The persistent currents in condensates are intimately related to the nucleation of quantized vortices, which are topological defects as response to transference of quanta of angular momentum. A conventional method for generation of such defects consists in confining the condensed atomic cloud into a rotating trap. It turns out that, for angular velocities higher than a critical value, vortex states become energetically favorable, thus inducing the creation of quantized vortices. Experimental realizations of condensed alkali-metal atoms confined by more general time-dependent potentials allowed the observation not only of vortex lattices but also of quantum turbulence. Since quantum turbulence is characterized by the presence of a self-interacting tangle of quantized vortices, the correct understanding of dynamics, formation, and stability of vortices has shown to be of paramount importance being the subject of many theoretical works. In particular, the role of acoustic excitations generated by decaying multi-charged vortices in the development of turbulence is still an open question. This work aims to provide a set of tools that helps to identify the presence as well as the charge of vortices in non-turbulent clouds observed using time-of-flight pictures. We have done a detailed study of condensates containing multi-charged vortices placed at its center where time-of-flight dynamics is only one point of our interest. Due to the control that this system provides experimentally, the collective modes become an important description since they can be excited using well stablished experimental methods as such as modulation of the s-wave scattering length, and they can also be responsible to vortex decaying. For such purposes we have used the semi-analytical variational method, and the fully numerical calculation of Gross-Pitaevskii equation. Thus we have describes the collective modes that couples dynamics of vortex with the oscillation of external components of condensed atomic cloud as well as the effects in time-of-flight. The angular momentum acts increasing the kinetic energy around the vortex core, which results in a faster expansion of perpendicular direction to it. This situation shifts the frequencies of collective oscillations of a vortex-free state, and generates richer collective modes due the coupling. Now there are four possible modes, being two types of monopole mode and two types of quadrupole modes. The difference among these types is the phase of vortex oscillation. When one considers fluctuations without polar symmetry, their collective modes result in the vortex decaying. In order to control and prevent these processes we have proposed three dynamical mechanisms such as modulation of s-wave scattering length, modulation of frequencies of harmonic trap, and modulation of the amplitude of Laguerre-Gauss potential. The last one has proven to be more effective.

Ce mémoire présente une étude théorique des propriétés de localisation collective dans les superfluides de Bose désordonnés ou quasipériodiques. S'il est connu depuis Anderson que le désordre peut localiser les particules libres, comprendre ses effets dans les systèmes quantiques en interaction, où il est à l'origine de transitions de phase et d'effets de localisation non-Triviaux, représente aujourd'hui un défi majeur. En nous focalisant sur le cas d'un gaz de Bose dans le régime de faibles interactions, bien décrit par la théorie de Bogoliubov, nous étudions les transitions de localisation de ses excitations collectives dans différents contextes. Dans le cas d'un vrai désordre dans l'espace continu tout d'abord, nous développons un formalisme de désordre fort allant au-Delà des études antérieures, aboutissant à une description complète des propriétés de localisation des excitations en dimension arbitraire. Nous présentons un diagramme de localisation générique, et une interprétation microscopique de la propagation des excitations dans le désordre. Dans un second temps, nous considérons le cas d'un potentiel quasipériodique unidimensionel, aux propriétés intermédiaires entre un vrai désordre et un potentiel périodique. Notre traitement analytique et numérique du problème révèle une transition de localisation collective, que nous caractérisons et interprétons en termes de localisation dans un potentiel effectif multiharmonique. Pour finir, nous considérons le cas d'un gaz de Bose à deux composants. Nous développons le formalisme général pour étudier ces questions et décrivons la physique de base de ces systèmes qui présentent leurs propres spécificités. / In this thesis, we theoretically investigate the collective localization properties of weakly-Interacting Bose superfluids subjected to disordered or quasiperiodic potentials. While disorder has been recognized since Anderson to induce single-Particle localization, the interplay between disorder and interactions in quantum systems is today among the most challenging questions in the field, and underlies fascinating phase transitions and non-Trivial localization effetcs. Focusing on Bose gases in the weakly-Interacting regime for which the Bogoliubov theory proves a successful tool, we study the localization transitions of collective excitations in several contexts. First, in the case of a continuous true disorder, we develop a strong-Disorder formalism going beyond previous studies, providing us with a complete description of the localization behaviour of collective excitations in arbitrary dimension. A generic localization diagram is obtained and the transport of excitations in the disorder is microscopically interpreted. Secondly, we consider the case of one-Dimensional quasiperiodic potentials, which are known to display intermediate properties between periodic and disordered ones. We perform a numerical and analytical treatment of the localization problem of collective excitations, allowing us to quantitatively characterize and interpret the localization transition in terms of an effective multiharmonic problem. Finally, we set up the general inhomogeneous formalism to address such issues in multicomponent Bose gases, and enlighten the basic physic of such systems, which are known to exhibit their own specific features.

Submitted by Renata Lopes (renatasil82@gmail.com) on 2017-06-09T12:29:52Z No. of bitstreams: 1 leonardedonascimentorodrigues.pdf: 2214371 bytes, checksum: 63b390c0d1258662578ebfbb5c79419b (MD5) / Approved for entry into archive by Adriana Oliveira (adriana.oliveira@ufjf.edu.br) on 2017-06-26T20:28:58Z (GMT) No. of bitstreams: 1 leonardedonascimentorodrigues.pdf: 2214371 bytes, checksum: 63b390c0d1258662578ebfbb5c79419b (MD5) / Made available in DSpace on 2017-06-26T20:28:58Z (GMT). No. of bitstreams: 1 leonardedonascimentorodrigues.pdf: 2214371 bytes, checksum: 63b390c0d1258662578ebfbb5c79419b (MD5) Previous issue date: 2016-09-16 / CAPES - Coordenação de Aperfeiçoamento de Pessoal de Nível Superior / O espalhamento inelástico de luz tem sido extensivamente utilizado no estudo de materiais semicondutores e se tornou uma técnica indispensável para o entendimento de processos físicos fundamentais. Os efeitos das interações em sistemas eletrônicos quantizados como o gás de elétrons bidimensional foram investigados por meio do espalhamento inelástico de luz, o qual permite entender a natureza das excitações coletivas que são conhecidas como excitações de densidade de carga (CDE) e excitações de densidade de spin (SDE). CDE são oscilações plasmônicas resultantes do acoplamento entre as flutuações de carga via interações de Coulomb e correlação e troca, enquanto SDE ocorrem apenas em decorrência da presença dos efeitos de correlação e troca. CDE são ativas quando a energia do laser é ressonante com o gap óptico do semicondutor (regime de ressonância próxima) e as polarizações da luz incidente e espalhada são paralelas entre si. SDE é também ativa em condições de ressonância próxima e possui polarizações da luz incidente e espalhada perpendiculares entre si. Todavia, tal cenário rompe quando a luz do laser coincide com as energia das transições interbandas do material (regime de ressonância extrema). Em adição as excitações coletivas emergem transições anômalas de gás de elétrons tipo não interagente conhecidas como excitações de partícula independente (SPE). A física envolvida em tais transições ainda parece não ser completamente entendida. Neste trabalho, são apresentados resultados experimentais e teóricos via espalhamento Raman eletrônico oriundos de gás de elétrons bidimensional realizados a partir de poços quânticos simples com o intuito de compreender a natureza das excitações de partícula independente. A medida experimental e os cálculos presentes na tese consistem de um poço quântico simples de 250Å de GaAs (arseneto de gálio) com dopagem modular e densidade eletrônica total de 8.81 x 1011cm-2. Também foi considerado o acoplamento das flutuações de densidade de carga com o fônon óptico longitudinal do GaAs. Em adição, é realizado um cálculo teórico de uma estrutura de poço quântico simples considerado estreito de 100Å de GaAs com dopagem modular e densidade eletrônica total de 1.2 x 1012cm-2. Portanto, o objetivo deste trabalho é mostrar em um caminho claro e transparente a situação física da existência das excitações eletrônicas em gás de elétrons. O trabalho mostrou que, no regime de extrema ressonância, as oscilações de plasma se dividem em duas contribuições: um conjunto de excitações coletivas renormalizadas (plasmons) e transições eletrônicas não renormalizadas (SPE). A fim de alcançar esse propósito, o trabalho evidenciou que o espalhamento Raman eletrônico pertence a uma mesma classe de problemas como o oscilador harmônico amortecido, acoplado e forçado assim como o estado supercondutor na teoria BCS de metais normais. A comparação entre os dados experimentais e teóricos mostrou um excelente acordo. / The inelastic light scattering has been widely used in the study of the semiconductor materials and it has become an indispensable technique for the understanding of fundamental physical processes. The effects of the electronic interactions on quantized electronic systems as two-dimensional electron gas are investigated through means of Raman scattering which allows understand the nature of collective excitations which are known as charge density excitations (CDE) and spin density excitations (SDE). CDE are plasmonic oscillations arising from the coupling between charge fluctuations via Coulombian and exchange-correlation interactions while SDE occur only when exchange-correlation effects are present. CDE is active when the laser energy is resonant with a semiconductor optical gap (near resonance regime) and the incoming and outgoing light polarizations are parallel to each other and SDE has incoming and outgoing light polarizations perpendicular to each other. Nevertheless, such a picture breaks down when the laser matches interband transitions energies of the material (extreme resonance regime). In addition to the collective excitations emerge anomalous transitions of the electron gas noninteracting-like known as single-particle excitations (SPE). The physics of such transitions is still not completely understood. In this work, were present experimental and theoretical results via electronic Raman scattering originating from the two-dimensional electron gas carried out from single quantum wells with the aim of understand the nature of the single-particle excitations. The experimental measures and calculations present in the thesis consists of the GaAs (gallium arsenide) single quantum well of a 250Å wide with modulation-doped and total electronic density of 8.81 x 1011cm2. It was also considered the coupling of the charge fluctuations with the longitudinal optical phonon of GaAs. In addition, it is performed a theoretical calculation of a structure of the GaAs single quantum well considered narrow of a 100Å wide with modulation-doped and and total electronic density of 1.2 x 1012cm2. However, the goal of this work is to show in a clear and transparent way the physical situation of the existence of electronic excitaions in electron gas. The work showed that, in extreme resonance regime, the plasma oscillations splits into two contributions: a set of renormalized collective excitations (plasmons) and unrenormalized electronic transitions (SPE). In order to accomplish this purpose, the study showed that electronic Raman scattering belongs to the same class of problems such as a set of forced, coupled and damped harmonic oscillators or formation of the superconducting state in BCS theory of normal metals. Comparison between experiment and theory shows an excellent agreement.

Cold-atom quantum simulators offer unique possibilities to prepare, manipulate, and probe quantum many-body systems. However, despite the high level of control in modern experiments, not all observables of interest are easily accessible. This thesis aims at establishing protocols to measure currently elusive static and dynamic properties of quantum systems. The experimental feasibility of these schemes is illustrated by means of numerical simulations for relevant applications in many-body physics and quantum simulation. In particular, we introduce a general method for measuring dynamical correlations based on non-Hermitian linear response. This enables unbiased tests of the famous fluctuation-dissipation relation as a probe of thermalization in isolated quantum systems. Furthermore, we develop ancilla-based techniques for the measurement of currents and current correlations, permitting the characterization of strongly correlated quantum matter. Another application is geared towards revealing signatures of supersolidity in spin-orbit-coupled Bose gases by exciting the relevant Goldstone modes. Finally, we explore a scenario for quantum-simulating post-inflationary reheating dynamics by parametrically driving a Bose gas into the regime of universal far-from-equilibrium dynamics. The presented protocols also apply to other analog quantum simulation platforms and thus open up promising applications in the field of quantum science and technology. / I simulatori quantistici ad atomi freddi offrono possibilità uniche per preparare, manipolare e sondare sistemi quantistici a molti corpi. Tuttavia, nonostante l'alto livello di controllo raggiunto negli esperimenti moderni, non tutte le osservabili di interesse sono facilmente accessibili. Lo scopo di questa tesi è quello di stabilire protocolli per misurare delle proprietà statiche e dinamiche dei sistemi quantistici attualmente inaccessibili. La fattibilità sperimentale di questi schemi è illustrata mediante simulazioni numeriche per applicazioni rilevanti nella fisica a molti corpi e nella simulazione quantistica. In particolare, introduciamo un metodo generale per misurare le correlazioni dinamiche basato su una risposta lineare non hermitiana. Ciò consente test imparziali della famosa relazione fluttuazione-dissipazione come sonda di termalizzazione in sistemi quantistici isolati. Inoltre, sviluppiamo tecniche basate su ancilla per la misura di correnti e correlazioni di corrente, consentendo la caratterizzazione della materia quantistica fortemente correlata. Un'altra applicazione è orientata a rivelare l'impronta della supersolidità nei gas Bose con accoppiamento spin-orbita eccitando il corrispondente modo di Goldstone. Infine, esploriamo uno scenario per la simulazione quantistica della dinamica di riscaldamento post-inflazione modulando parametricamente un gas Bose e portandolo nel regime della dinamica universale lontana dall'equilibrio. I protocolli presentati si applicano anche ad altre piattaforme di simulazione quantistica analogica e aprono quindi applicazioni promettenti nel campo della scienza e della tecnologia quantistica. / Quantensimulatoren auf Basis ultrakalter Atome eröffnen einzigartige Möglichkeiten zur Präparation, Manipulation und Untersuchung von Quanten-Vielteilchen-Systemen. Trotz des hohen Maßes an Kontrolle in modernen Experimenten sind jedoch nicht alle interessanten Observablen auf einfache Weise zugänglich. Ziel dieser Arbeit ist es, Protokolle zur Messung aktuell nur schwer erfassbarer statischer und dynamischer Eigenschaften von Quantensystemen zu etablieren. Die experimentelle Realisierbarkeit dieser Verfahren wird durch numerische Simulationen anhand relevanter Anwendungen in der Vielteilchenphysik und Quantensimulation veranschaulicht. Insbesondere wird eine allgemeine Methode zur Messung dynamischer Korrelationen basierend auf der linearen Antwort auf nicht-hermitesche Störungen vorgestellt. Diese ermöglicht unabhängige Tests des berühmten Fluktuations-Dissipations-Theorems als Indikator der Thermalisierung isolierter Quantensysteme. Darüber hinaus werden Verfahren zur Messung von Strömen und Strom-Korrelationen mittels Kopplung an einen Hilfszustand entwickelt, welche die Charakterisierung stark korrelierter Quantenmaterie erlauben. Eine weitere Anwendung zielt auf die Enthüllung spezifischer Merkmale von Supersolidität in Spin-Bahn-gekoppelten Bose-Einstein-Kondensaten ab, indem die relevanten Goldstone-Moden angeregt werden. Schließlich wird ein Szenario zur Quantensimulation post-inflationärer Thermalisierungsdynamik durch die parametrische Anregung eines Bose-Gases in das Regime universeller Dynamik fern des Gleichgewichts erschlossen. Die dargestellten Protokolle lassen sich auch auf andere Plattformen für analoge Quantensimulation übertragen und eröffnen damit vielversprechende Anwendungen auf dem Gebiet der Quantentechnologie.