Atomic physics plays an important role in determining the evolution stages in a wide range of laboratory and cosmic plasmas. Therefore, the main contribution to our ability to model, infer and control plasma sources is the knowledge of underlying atomic processes. Of particular importance are reliable low temperature dielectronic recombination (DR) rate coefficients. This thesis provides systematically calculated DR rate coefficients of lithium-like beryllium and sodium ions via ∆n = 0 doubly excited resonant states. The calculations are based on complex-scaled relativistic many-body perturbation theory in an all-order formulation within the single- and double-excitation coupled-cluster scheme, including radiative corrections. Comparison of DR resonance parameters (energy levels, autoionization widths, radiative transition probabilities and strengths) between our theoretical predictions and the heavy-ion storage rings experiments (CRYRING-Stockholm and TSRHeidelberg) shows good agreement. The intruder state problem is a principal obstacle for general application of the coupled-cluster formalism on doubly excited states. Thus, we have developed a technique designed to avoid the intruder state problem. It is based on a convenient partitioning of the Hilbert space and reformulation of the conventional set of pairequations. The general aspects of this development are discussed, and the effectiveness of its numerical implementation (within the non-relativistic framework) is selectively illustrated on autoionizing doubly excited states of helium.

This thesis presents a collection of four papers published in peer-reviewed scientific journals plus a manuscript yet to be submitted, all of them in the field of low temperature physics and quantum fluids. Each of these works reports a step forward in the ever-developing theoretical description of helium systems by means of density functional theory. The first two papers deal with questions related to the groundstate description of helium complexes around atomic impurities. We have computed such structure and determined its effect on the dipole absorption spectrum of Na in (3)He—(4)He clusters and of Mg in the homogeneous, isotopically mixed liquid. We have also explored the limits of density functional calculations for a small number of helium atoms interacting with a linear carbonyl sulfide (OCS) molecule. To this end we have implemented a Kohn-Sham scheme for 3He and computed the structure of OCS@3HeN clusters for N up to 40. The next three papers deal with the real-time description of dynamical processes in helium systems of experimental interest. We present an efficient and quantitatively accurate procedure to compute dynamical processes, namely the dynamics of an excited electron bubble and of an excited silver impurity, following a time-dependent density functional theory (TDDFT) for helium coupled to the appropiate dynamics of impurities. In the case of the electron bubble, we have related the experimental disappearance of 1P bubbles at high pressures with the existence of a nonradiative de-excitation path involving the bubble splitting about 20 picoseconds after the excitation. In the case of the desorption of a silver atom from a He drop, our dynamical calculations predict a range of velocities for the ejected impurity consistent with the experimental velocity distribution, which can be taken as indirect evidence of the superfluidity of helium nanodroplets. / En esta tesis se presenta una colección de cuatro artículos publicados y un manuscrito aún no publicado, todos ellos en el campo de la física de bajas temperaturas y fluidos cuánticos. Cada uno de ellos reporta un paso adelante en la descripción teórica de los sistemas de helio por medio de la teoría del funcional de la densidad. Los primeros dos artículos están clasificados como “estructura" ya que tratan cuestiones relacionadas con la descripción del estado fundamental de complejos de helio dopados con impurezas atómicas. En ellos hemos calculado la estructura y determinado su efecto sobre el espectro de absorción dipolar del Na en agregados de (3)He-(4)He y del Mg en el líquido homogéneo e isotópicamente mezclado. Para el caso de Na en gotas se ha encontrado que, a pesar de necesitar una gran cantidad de (3)He para que la capa exterior de la gota sature, el espectro de la impureza es muy insensible a la composición isotópica y rápidamente satura al valor que toma en las gotas de (3)He puras. Para Mg en el líquido mezclado, la presencia de (3)He induce cambios en el espectro mucho más pequeños que su anchura característica, por lo que se ha encontrado que el efecto general de la composición isotópica de la mezcla en la espectroscopia es mínima. Hemos explorado también los límites del funcional de la densidad para un número pequeño de átomos de helio interactuando con una molécula lineal de sulfuro de carbonilo (OCS). Para ello hemos implementado un esquema de Kohn-Sham para el (3)He y hemos obtenido la estructura de agregados OCS@(3)He(N) para un número de átomos “N” hasta 40. Hemos comparado los resultados de los agregados de (4)He con el mismo número de átomos y hemos encontrado que la alta anisotrop_á de la molécula de OCS magni_ca los efectos de las diferentes estadísticas de cada isótopo. Nuestra estimación de los momentos de inercia de estos agregados es consistente con la interpretación de los datos experimentales que sugieren una estructura de 11 átomos de helio rotando solidariamente con la molécula de OCS. Los siguientes tres trabajos, clasificados como “dinámica", describen la evolución temporal de ciertos procesos de interés experimental en los sistemas de helio. Mientras que las publicaciones sobre la estructura completan una línea de trabajo bien establecida, las de esta sección abren un nuevo frente de exploración teórica sobre los procesos dinámicos con resolución de picosegundos. En ellos se presenta un procedimiento eficiente para describirlos cuantitativamente mediante una teoría del funcional de la densidad dependiente del tiempo (TDDFT, por sus siglas en inglés) para el helio, acoplado a la dinámica adecuada para la impureza. Cuál es la dinámica “adecuada" depende de las propiedades de la impureza: para la burbuja electrónica 1P se puede utilizar una descripción puramente mecanocuántica del electrón en una aproximación adiabática, mientras que para la burbuja 2P la aproximación adiabática no es aplicable y se deben acoplar las evoluciones en tiempo real del helio y del electrón. Para una impureza masiva como la Ag una descripción clásica de su movimiento es suficiente, pero el efecto de spin-órbita es lo suficientemente importante como para que el estado electrónico del átomo deba tenerse en cuenta en la dinámica como un grado de libertad cuantizado . En el caso de las burbujas electrónicas, hemos relacionado la desaparición de las burbujas 1P a altas presiones con la existencia de un camino de relajación no-radiativo que causa la rotura de la burbuja en dos mitades casi esféricas tras haber transcurrido unos 20 picosegundos desde su excitación. Hemos sido capaces de establecer esta relación gracias a que nuestro cálculo predice la “fisión" de la burbuja solo para presiones superiores a 1 bar, que es el mismo umbral observado experimentalmente para la desaparición de las burbujas 1P. Teniendo en cuenta que aumentar la presión en 1 bar aumenta la densidad de saturación del líquido en poco más de un 1 %, la exactitud de este resultado indica que TDDFT contiene la física relevante para describir este tipo de procesos y tiene capacidad de predicción cuantitativa. También hemos encontrado un marcado cambio en el comportamiento del espectro de absorción con resolución temporal de la burbuja 1P dependiendo de si ésta fisiona o no, es decir, dependiendo de la presión del líquido. La observación experimental de este cambio y su determinación podrá completar la información obtenida en los experimentos de cavitación y fotoconductividad. En el caso de la desorción de un átomo de plata tras su fotoexcitación en el interior de una gota de He, nuestros cálculos dinámicos predicen un rango de velocidades para la impureza consistente con la distribución de velocidades experimental. Esta velocidad es el resultado de cuánta energía transfiere la impureza a la gota, lo cual depende de los modos de excitación disponibles para dicha transferencia. Nuestra descripción del líquido solo permite excitaciones colectivas tales como ondas de densidad u oscilaciones de superficie, por lo que la compatibilidad de nuestros resultados con los datos experimentales se puede tomar como una evidencia indirecta de la superfluidez de las nanogotas de helio. Adicionalmente hemos descartado la nucleación vórtices como un posible canal de transferencia de energía en gotas nanoscópicas al no haberlos generado en nuestros cálculos.

While in conventional superconductors coupling between electrons and phonons is known to be responsible for the electron pairing, for the high temperature superconductors the pairing media remains under debates. Since the interactions of electrons with other degrees of freedom (phonons, magnetic excitations, etc) manifest themselves by an additional renormalization in the electronic dispersion, they can be investigated by means of Angle Resolved Photoelectron Spectroscopy. In the work renormalization in two families of high Tc cuprates have been studied. Along the diagonal of the two-dimensional BZ, the renormalization effects are represented by an unusual band dispersion that develops a so-called ‘‘kink’’. In the vicinity of the (pi, 0) point of the BZ, where the order parameter reaches its maximum, the renormalization is noticeably stronger and makes itself evident even in the shape of a single spectral line measured for a fixed momentum. It was shown that for the Bi-2212 samples substitution of Cu atoms in Cu-O plane changes renormalization features in ARPES spectra both in nodal and antinodal parts of the Brillouin zone. The smearing of the dip in the in the spectral line shape measured at (pi; 0) point can be well explained by coupling of electrons to the magnetic resonance mode. The effect of Zn and Ni substitution on the antinodal ARPES spectra was shown to be in good agreement with the influence of these impurities on magnetic resonance mode seen in inelastic neutron scattering experiments. This, in addition to the previous ARPES studies of temperature and doping dependence of peak-dip-hump structure, mass renormalization near antinodal region and a kink in the nodal part of Brillouin zone, provides further evidence that the coupling to magnetic excitations, rather than to phonons, is responsible for the observed unusual renormalization. Unlike the well studied Bi-2212 family of cuprates, photoemission on YBCO-123 turns out to be much more complicated. The observed spectra have a strong contribution from a heavily overdoped surface component with the hole doping level of about x~0.30, which is weakly dependent on the sample stochiometry. Absence of any signs of superconductivity in the spectra of the overdoped component was argued to result from the unusually high doping level. This conclusion is supported by the fact that the overdoped bands give rise to the Fermi surface and band structure consistent with the predictions of the LDA calculations, as well as, by the dependence of the photoemission matrix element on the excitation energy, which closely follows that of the superconducting bulk component. Specific experimental geometry was used to enhance the signal coming from the superconducting component. In particular, experiments with circularly polarized light bundled with simple theoretical considerations enabled better separation of the surface and the bulk components. This type of experiments also suggests that the overdoped component is mainly localized in the topmost CuO2 bilayer, while the next bilayers in the YBCO-123 structure already represent bulk properties and retain superconductivity. Using partially Ca substituted samples it was possible to obtain spectra with a suppressed overdoped component. The likely reason for the suppression is a shift of the most probable cleavage plane from the Ba–O interface to the Y layer. Spectra from the Ca substituted sample clearly reveal a sizable superconducting gap, and strong renormalization effects in the vicinity of the antinodal point. The fact that the renormalization vanishes above Tc and has strong momentum dependence, diminishing away from the (pi; 0)/(0; pi) point, strongly suggests that the reason for this renormalization in YBCO-123 is coupling of the electronic subsystem to spin resonance, similar to the case of Bi-2212.

A system with two magnetic molecules embedded in a junction between non-magnetic leads was studied. In this system electrons tunnel from the localized energy level in region one to the localized energy level in region two generating a flow of electric charge through the quantum dot system. The current density and thus the conductance changes depending on the molecular spin moment. In this work we studied molecules with either spin "up" or spin "down" and with symmetric coupling strengths. The results indicate that the coupling strength between energy level and molecule together with the tunneling rate through the insulating layer play a major role when switching from parallel to anti-parallel molecular spin, for a specific combination of the coupling strength and tunneling rate we could observe a decrease in the current by 99.7% in the non-gated system and 99.4% in the gated system.

No description available.

Mean-field approaches successfully reproduce nuclear bulk properties like masses and radii within the Energy Density Functional (EDF) framework. However, complex correlations are missing in mean-field models and several observables related to single-particle and collective nuclear properties cannot be predicted accurately. The necessity to provide a precise description of the available data as well as reliable predictions in the exotic regions of the nuclear chart motivates the use of more sophisticated beyond-mean-field models. Correlations and higher-order corrections (beyond the leading mean-field order) are introduced. A crucial aspect in these calculations is the choice of the effective interaction to be used when one goes beyond the leading order (available effective interactions are commonly adjusted at the mean-field level). In the first part, we deal with the equation of state of nuclear matter evaluated up to the second order with the phenomenological Skyrme force. We analyze the ultraviolet divergence that is related to the zero range of the interaction and we introduce Skyrme-type regularized interactions that can be used at second order for matter. Cutoff regularization and dimen- sional regularization techniques are explored and applied. In the latter case, connections are naturally established between the EDF framework and some techniques employed in Effective Field Theories. In the second part, we check whether the regularized interactions introduced for nuclear matter can be employed also for finite nuclei. As an illustration, this analysis is performed within the particle- vibration model that represents an example of beyond mean-field models where an ultraviolet divergence appears if zero-range forces are used. These first applications suggest several directions to be explored to finally provide regularized interactions that are specially tailored for beyond- mean-field calculations for finite nuclei. Conclusions and perspectives are finally illustrated.

Ultra-cold atoms in optical lattices provide a versatile and robust platform to study fundamental condensed-matter physics problems and have applications in quantum optics as well as quantum information processing. For many of these applications, Rydberg atoms (atoms excited to large principal quantum numbers) are ideal due to its long coherence times and strong interactions. However, one of the pre-requisite for such applications is identical confinement of ground state atoms with Rydberg atoms. This is challenging for conventionally used alkali atoms. In this thesis, I discuss the potential of using alkaline-earth Rydberg atoms for many-body physics by implementing simultaneous trapping for the relevant internal states. In particular, I consider a scheme for generating multi-particle entanglement and explore charge transport in a one dimensional atomic lattice.

Cette thèse se propose d'explorer les mérites d'une famille d'approches de simulation quantique ab initio, les théories de perturbation à N-corps, pour l'exploration des propriétés électroniques et optiques de systèmes organiques. Nous avons étudié en particulier l'approximation dite de GW et l'équation de Bethe-Salpeter, très largement utilisées dès les années soixante pour les semiconducteurs de volume, mais dont l'utilisation pour les systèmes organiques moléculaires est très limitée. L'étude de quelques cas d'intérêt pour le photovoltaïque organique, et en particulier de petites molécules pour lesquelles sont disponibles des données expérimentales ou des résultats issus d'approches de chimie quantique, nous ont permis de valider ces approches issues de la physique du solide.Ce doctorat s'inscrit dans le cadre du développement d'un outil de simulation quantique spécifique (le projet FIESTA) dont l'objectif est de combiner les formalismes GW et Bethe-Salpeter avec les techniques de la chimie quantique, c'est-à-dire en particulier l'utilisation de bases localisées analytiques (bases gaussiennes) et des approches de type «résolution de l'identité» pour le traitement des intégrales Coulombiennes. Ce code est aujourd'hui massivement parallélisé, permettant, au delà des études de validation présentées dans ce travail de thèse, l'étude de systèmes complexes comprenant plusieurs centaines d'atomes. En cours de développement, l'incorporation d'approches hybrides combinant mécanique quantique et écrantage à longue portée par des approches modèles de milieu polarisable m'a permis d'une part de me familiariser avec le code et le développement méthodologique, et permet d'autre part d'envisager l'étude de systèmes réalistes en couplage avec leur environnement.Le manuscrit s‘ouvre sur une introduction au photovoltaïque organique afin de mettre en lumière les questionnements spécifiques qui requièrent le développement de nouveaux outils théoriques à la fois fiables en terme de précision et suffisamment efficaces pour traiter des systèmes de grande taille. Le premier chapitre est d'ordre méthodologique et rappelle les fondements des techniques ab initio de type champ-moyen (Hartree, Hartree-Fock et théorie de la fonctionnelle de la densité). En partant des principes de la photoémission, les théories de perturbation à N-corps et la notion de quasi-particule sont ensuite introduites, conduisant aux équations de Hedin et aux approximations GW et COHSEX. De même, à partir de la compréhension d'une expérience d'optique, le traitement des interactions électron-trou est présenté, menant à l'équation de Bethe-Salpeter. Le chapitre 2 introduit brièvement les spécificités techniques liées à l'implémentation des formalismes GW et Bethe-Salpeter. Les propriétés analytiques des bases gaussiennes et les principes mathématiques derrière les techniques de type «résolution de l'identité» et «déformation de contour», sont brièvement décrites. Le troisième chapitre présente les résultats scientifiques obtenus durant cette thèse. Le cas paradigmatique d'un polypeptide model nous permettra de discuter des spécificités de l'approche GW appliquée à des systèmes moléculaires afin d'obtenir des énergies de quasiparticule de bonne qualité. De même, l'utilisation de l'équation de Bethe-Salpeter pour l'obtention du spectre optique de ce système sera présentée, ainsi que le cas d'une famille de colorants d'importance pour les cellules de Graetzel (les coumarines). Finalement, nous explorons dans le cas du fullerène C60 et du graphène le calcul des termes de couplage électron-phonon dans le cadre de l'approche GW, c'est-à-dire au delà des approches standards de type théorie de la fonctionnelle de la densité. Notre étude vise à vérifier si une approximation statique et à écrantage constant au premier ordre permet de garder la qualité des résultats GW pour un coût numérique réduit. Après la conclusion, les appendices donnent le détail de certaines dérivations. / The present thesis aims at exploring the properties and merits of the ab initio Green's function many-body perturbation theory (MBPT) GW and Bethe-Salpeter formalisms, in order to provide a well-grounded and accurate description of the electronic and optical properties of condensed matter systems. While these approaches have been developed for extended inorganic semiconductors and extensively tested on this class of systems since the 60 s, the present work wants to assess their quality for gas phase organic molecules, where systematic studies still remain scarce. By means of small isolated study case molecules, we want to progress in the development of a theoretical framework, allowing an accurate description of complex organic systems of interest for organic photovoltaic devices. This represents the main motivation of this scientific project and we profit here from the wealth of experimental or high-level quantum chemistry reference data, which is available for these small, but paradigmatic study cases.This doctoral thesis came along with the development of a specific tool, the FIESTA package, which is a Gaussian basis implementation of the GW and Bethe-Salpeter formalisms applying resolution of the identity techniques with auxiliary bases and a contour deformation approach to dynamical correlations. Initially conceived as a serial GW code, with limited basis sets and functionalities, the code is now massively parallel and includes the Bethe-Salpeter formalism. The capacity to perform calculations on several hundreds of atoms to moderate costs clearly paves the way to enlarge our studies from simple model molecules to more realistic organic systems. An ongoing project related to the development of discrete polarizable models accounting for the molecular environment allowed me further to become more familiar with the actual implementation and code structure.The manuscript at hand is organized as follows. In an introductory chapter, we briefly present the basic mechanisms characterizing organic solar cells, accentuating the properties which seek for an accurate theoretical description in order to provide some insight into the factors determining solar cell efficiencies. The first chapter of the main part is methodological, including a discussion of the principle features and approximations behind standard mean-field techniques (Hartree, Hartree-Fock, density functional theory). Starting from a description of photoemission experiments, the MBPT and quasiparticle ideas are introduced, leading to the so-called Hedin's equations, the GW method and the COHSEX approach. In order to properly describe optical experiments, electron-hole interactions are included on top of the description of inter-electronic correlations. In this context, the Bethe-Salpeter formalism is introduced, along with an excursus on time-dependent density functional theory. Chapter 2 briefly presents the technical specifications of the GW and Bethe-Salpeter implementation in the FIESTA package. The properties of Gaussian basis sets, the ideas behind the resolution of the identity techniques and finally the contour deformation approach to dynamical correlations are discussed. The third chapter deals with the results obtained during this doctoral thesis. On the electronic structure level, a recent study on a paradigmatic dipeptide molecule will be presented. Further, also its optical properties will be explored, together with an in-depth discussion of charge-transfer excitations in a family of coumarin molecules. Finally, by means of the Buckminster fullerene C60 and the two-dimensional semi-metal graphene, we will analyze the reliability of two many-body formalisms, the so-called static COHSEX and constant-screening approximation, for an efficient calculation of electron-phonon interactions in organic systems at the MBPT level. After a short conclusion, the Appendix containing details and derivations of the formalisms presented before closes this work.

Cette thèse est consacrée à l'étude mathématique de deux systèmes quantiques décrits par des modèles non linéaires : le polaron anisotrope et les électrons d'un cristal périodique. Après avoir prouvé l'existence de minimiseurs, nous nous intéressons à la question de l'unicité pour chacun des deux modèles. Dans une première partie, nous montrons l'unicité du minimiseur et sa non-dégénérescence pour le polaron décrit par l'équation de Choquard--Pekar anisotrope, sous la condition que la matrice diélectrique du milieu est presque isotrope. Dans le cas d'une forte anisotropie, nous laissons la question de l'unicité en suspens mais caractérisons précisément les symétries pouvant être dégénérées. Dans une seconde partie, nous étudions les électrons d'un cristal dans le modèle de Thomas--Fermi--Dirac--Von~Weizsäcker périodique, en faisant varier le paramètre devant le terme de Dirac. Nous montrons l'unicité et la non-dégénérescence du minimiseur lorsque ce paramètre est suffisamment petit et mettons en évidence une brisure de symétrie lorsque celui-ci est grand. / This thesis is devoted to the mathematical study of two quantum systems described by nonlinear models: the anisotropic polaron and the electrons in a periodic crystal. We first prove the existence of minimizers, and then discuss the question of uniqueness for both problems. In the first part, we show the uniqueness and nondegeneracy of the minimizer for the polaron, described by the Choquard--Pekar anisotropic equation, assuming that the dielectric matrix of the medium is almost isotropic. In the strong anisotropic setting, we leave the question of uniqueness open but identify the symmetry that can possibly be degenerate. In the second part, we study the electrons of a crystal in the periodic Thomas--Fermi--Dirac--Von~Weizsäcker model, varying the parameter in front of the Dirac term. We show uniqueness and nondegeneracy of the minimizer when this parameter is small enough et prove the occurrence of symmetry breaking when it is large.

O objetivo deste trabalho é examinar os efeitos causados pela interação elétron-fônon em pontos quânticos semicondutores polares. Primeiramente, nós apresentamos cálculos detalhados da taxa de espalhamento e do tempo de relaxação eletrônico em pontos quânticos simples (Single Quantum Dot - SQD) e em dois pontos quânticos acoplados (Coupled Quantum Dots - CQDs) devido à interação entre o elétron e os fônons longitudinais acústicos (LA) na presença e na ausência de campos externos, magnético ou elétrico. O regime de energia usado no cálculo do espalhamento eletrônico foi escolhido de forma que os fônons LA dominam o processo de espalhamento. Nós verificamos que na ausência de campo externo, a taxa de espalhamento do elétron por fônons LA entre dois níveis específicos é essencialmente determinada pela diferença de energia entre estes dois níveis. Observamos que um campo magnético modula fortemente a taxa de espalhamento. Verificamos que o processo de relaxação via multicanais desempenha um papel essencial no mecanismo de relaxação do elétron de estados excitados para o estado fundamental. Um campo magnético externo aumenta ainda mais a relaxação através de transições indiretas. Também fizemos um estudo teórico dos efeitos da interação elétron-fônons longitudinais ópticos (LO) em dois pontos quânticos acoplados compostos de InAs/AlInAs. Fizemos cálculos para o polaron ressonante num regime onde a energia de confinamento do elétron é comparável a energia do fônon L0 utilizando o formalismo da função de Green e teoria de perturbação considerando temperatura zero e finita. Observamos uma renormalização do estado fundamental obtida devido a absorção de fônons virtuais para uma temperatura T > O. Discutimos os efeitos do tunelamento entre os pontos quânticos e a sua influência nas propriedades eletrônicas e analisamos o espectro de absorção óptica neste sistema. Verificamos modificações nos orbitais eletrônicos como resultado direto do tunelamento assistido por fônons. Finalmente, avaliamos os efeitos da interação elétron-fônons L0 na densidade de estados do elétron confinado em pontos quânticos utilizando dois modelos distintos: Um modelo não-perturbativo e o formalismo da função de Green. Estudamos cada método separadamente e avaliamos a densidade de estados como função da temperatura e do confinamento lateral. Consideramos um sistema com apenas dois níveis eletrônicos de energia e comparamos os dois métodos avaliando as suas diferenças básicas. Utilizando o método não-perturbativo fizemos cálculos da densidade de estados para um regime de acoplamento forte entre o elétron e os fônons LO / The purpose of this work is to study effects of electron-phonons interactions in polar semiconductor quantum dots. Firstly, we present a detailed calculation on the electron-LA-phonon scattering rates and electron relaxation processes in single and coupled quantum dots in the absence and in the presence of external magnetic or electric fields. In the absence of external field, interplay among the effective confinement lengths in different directions as well as the phonon wavelength leads to a strong oscillation of the LA-phonon scattering rate between two levels. In other words, the scattering depends strongly on the geometry and confinement potential of the quantum dot. An external magnetic field also strongly modulates the scattering rate in severa1 orders of magnitude. The magnetic field induced effects are very similar in single quantum dot (SQD) and coupled quantum dots (CQDs) where the effective confinement strength in the x-direction affects strongly the scattering rate. However, we find that the multiple relaxation process plays an essential role for electron relaxing from the excited states to ground state both in single and coupled quantum dots. Including all possible relaxation channels, an external magnetic field enhances the relaxation through indirect transitions. Secondly, we present a theoretical study on the effects of electron-LO-phonon interaction in two coupled stacked InAs/InAIAs quantum dots. The contribution of resonant and nonresonant electron-LO-phonon coupling to the polaron states are obtained in the framework of t he Green function formalism and the perturbation approach at zero and finite temperatures. Ground state renormalization is found due to virtual phonon absorption at T > O. Tunneling effects between the dots have been addressed and their influente on the electronic properties and optical absorption are analyzed. Topological modifications of electronic orbitals are found as a result of phonon-assisted tunneling. Finally, we investigate the effects of electron-LO-phonon interaction on the electron density of states in quantum dots using two distinct models. A non-perturbative model and the Green function formalism. Within the non-perturbative model, we consider only two electronic levels in a quantum dot interacting to LO-phonons. An exact solution is obtained for the polaron states and spectral function. We evaluate the density of states in the regime at zero and finite temperature for severa1 values of the lateral confinement. We compare the density of states obtained within the two models. Furthermore, we study the polaron effects in strong electron-LO-phonon coupling regime based on the non-perturbative model