Edge excitations and topological order in rotating Bose gas

The edge excitations and related topological orders of correlated states of a fast rotating Bose gas are studied. Using exact diagonalization of small systems, we compute the energies and number of edge excitations, as well as the boson occupancy near the edge for various states. The chiral Luttinger-liquid theory of Wen is found to be a good description of the edges of the bosonic Laughlin and other states identified as members of the principal Jain sequence for bosons. However, we find that in a harmonic trap the edge of the state identified as the Moore-Read (Pfaffian) state shows a number of anomalies. An experimental way of detecting these correlated states is also discussed.

Spin-orbit effects in GaAs quantum wells: Interplay between Rashba, Dresselhaus, and Zeeman interactions

The interplay between Rashba, Dresselhaus, and Zeeman interactions in a quantum well submitted to an external magnetic field is studied by means of an accurate analytical solution of the Hamiltonian, including electron-electron interactions in a sum-rule approach. This solution allows us to discuss the influence of the spin-orbit coupling on some relevant quantities that have been measured in inelastic light scattering and electron-spin resonance experiments on quantum wells. In particular, we have evaluated the spin-orbit contribution to the spin splitting of the Landau levels and to the splitting of charge- and spin-density excitations. We also discuss how the spin-orbit effects change if the applied magnetic field is tilted with respect to the direction perpendicular to the quantum well.

Hypernuclear structure with the new Nijmegen potentials

Information on level density for nuclei with mass numbers A?20250 is deduced from discrete low-lying levels and neutron resonance data. The odd-mass nuclei exhibit in general 47 times the level density found for their neighboring even-even nuclei at the same excitation energy. This excess corresponds to an entropy of ?1.7kB for the odd particle. The value is approximately constant for all midshell nuclei and for all ground state spins. For these nuclei it is argued that the entropy scales with the number of particles not coupled in Cooper pairs. A simple model based on the canonical ensemble theory accounts qualitatively for the observed properties.

Delta(1232) isobar excitations and the ground state of nuclei

The influence of Delta isobar components on the ground-state properties of nuclear systems is investigated for nuclear matter as well as finite nuclei. Many-body wave functions, including isobar configurations and binding energies, are evaluated employing the framework of the coupled-cluster theory. It is demonstrated that the effect of isobar configurations depends in a rather sensitive way on the model used for the baryon-baryon interaction. As examples for realistic baryon-baryon interactions with explicit inclusion of isobar channels we use the local (V28) and nonlocal meson-exchange potentials (Bonn2000) but also a model recently developed by the Salamanca group, which is based on a quark picture. The differences obtained for the nuclear observables are related to the treatment of the interaction, the pi-exchange contributions in particular, at high momentum transfers.

Density dependence of the symmetry free energy of hot nuclei

The density and excitation energy dependence of symmetry energy and symmetry free energy for finite nuclei are calculated microscopically in a microcanonical framework, taking into account thermal and expansion effects. A finite-range momentum and density-dependent two-body effective interaction is employed for this purpose. The role of mass, isospin, and equation of state (EOS) on these quantities is also investigated; our calculated results are in consonance with the available experimental data.

Energy and structure of dilute hard- and soft-sphere gases

The energy and structure of dilute hard- and soft-sphere Bose gases are systematically studied in the framework of several many-body approaches, such as the variational correlated theory, the Bogoliubov model, and the uniform limit approximation, valid in the weak-interaction regime. When possible, the results are compared with the exact diffusion Monte Carlo ones. Jastrow-type correlation provides a good description of the systems, both hard- and soft-spheres, if the hypernetted chain energy functional is freely minimized and the resulting Euler equation is solved. The study of the soft-sphere potentials confirms the appearance of a dependence of the energy on the shape of the potential at gas paremeter values of x~0.001. For quantities other than the energy, such as the radial distribution functions and the momentum distributions, the dependence appears at any value of x. The occurrence of a maximum in the radial distribution function, in the momentum distribution, and in the excitation spectrum is a natural effect of the correlations when x increases. The asymptotic behaviors of the functions characterizing the structure of the systems are also investigated. The uniform limit approach is very easy to implement and provides a good description of the soft-sphere gas. Its reliability improves when the interaction weakens.

Plumage ornaments, bacterial colonisation and signalling in european starling, "Sturnus vulgaris"

Abstract Animal behaviours or structures are used by senders as signals to try to increase their fitness by altering the behaviour of receivers. A large fraction of studies on sexual selection have focussed on male ornaments and have demonstrated that these ornaments signal the quality of their owner and are used by female for mate choice. Although females can also exhibit conspicuous traits, studies on female ornaments are markedly lacking. In chapter 1, we show that female starlings are showier on chest whiteness than males and that females' whiteness may potentially indicate female condition at the start of breeding and provide fitness advantages to breeding birds. Furthermore we point out that feather density and abrasion are important factors shaping the expression of chest whiteness. This suggests that further understanding of the evolution of chest whiteness in Starlings requires to examine the environmental and physiological factors that shape feather condition. Plumage may suffer from damage through abrasion and bacterial activity. In chapter 2, we focus on factors that influence feather-degrading bacterial communities. Within the hypothesis that parental care can be trade-off against the demands of self-maintenance, we show that a brood size manipulation modifies the structure of feather-degrading bacterial communities and the density of free- living bacteria. Thus we have pointed out a potentially poorly known cost of reproduction. In the same context of a trade-off between reproductive activities and individual self-maintenance, chapter 3 shows that at a proximate level in females but not in males, the individual variation in time and/or energy allocated in reproductive activities is associated with prolactin hormone levels. Our study provides evidence for the existence of a sex related difference in the relationship between brood size and prolactin levels. Birds have evolved sanitation behaviours and preen gland secretions to preserve the condition of their plumage. In chapter 4, we describe a method that allows to measure preen gland in situ. Then we use this method to characterize a number of phenotypic and ecological factors that explain variation in preen gland size in free-living individuals. In parent-offspring interactions, parents use offspring signals to provision their brood. In chapter 5, we demonstrate that nestling flanges and body skin reflect in the ultra-violet (UV) wavelengths ant that parents use this UV reflectance in food allocation decisions. Résumé Certains comportements et structures chez les animaux agissent, pour ceux qui les émettent, comme des signaux permettant d'augmenter leur fitness en altérant les comportements de ceux qui les perçoivent. Une grande partie des études sur la sélection sexuelle s'est focalisée sur les ornements mâles. Ces études ont démontré que ces ornements pouvaient signaler la qualité de celui qui les porte et influencer le choix des femelles. Bien que les femelles puissent aussi présenter des traits voyants, les études sur leurs ornements font défaut. Dans le chapitre 1 de ce travail, nous montrons que les étourneaux femelles sont plus voyantes que les mâles sur la base de la blancheur de la poitrine. De plus la blancheur des femelles peut signaler leur condition au début de la saison de reproduction et ainsi être corrélée avec leur fitness. Nous mettons aussi en évidence que la densité et l'abrasion des plumes sont des facteurs importants, contrôlant l'expression de la blancheur de la poitrine. Ceci suggère que des études futures pourraient examiner le rôle des facteurs environnementaux et physiologiques qui influencent la condition des plumes pour mieux comprendre l'évolution de la blancheur chez les étourneaux. Le plumage subit des dommages à travers l'abrasion et probablement aussi par l'activité de dégradation de bactéries. Dans le chapitre 2 de ce travail, nous nous intéressons aux facteurs qui influencent les communautés de bactéries dégradant les plumes. Nous basant sur l'hypothèse selon laquelle il existe un compromis entre les soins parentaux et la maintenance corporelle, nous montrons qu'une manipulation de la taille de nichée modifie la structure des communautés de bactéries dégradant les plumes ainsi que les densités de bactéries libres présentes sur le plumage. Ainsi nous mettons en évidence un coût encore peu connu des activités de reproduction. Dans le même contexte, nous montrons, dans le chapitre 3, que des variations individuelles dans l'énergie et/ou le temps alloué dans les activités de reproduction sont associés, chez les femelles, à un niveau proximal à l'hormone prolactine. Cette relation n'est pas présente chez les mâles. Cette étude montre que la relation entre la taille de nichée et les niveaux de prolactine diffère avec le sexe des individus. Les oiseaux utilisent des comportements de nettoyage associés aux sécrétions de la glande uropygiale afin de préserver la condition de leurs plumes. Dans le chapitre 4 de ce travail, nous décrivons une méthode qui permet de mesurer la taille de la glande in situ. Puis nous caractérisons certains facteurs écologiques et physiologiques qui expliquent les variations de la taille de la glande chez des individus capturés dans leur environnement. Les parents nourrissent leur progéniture en réponse à des signaux émis par ceux-ci. Dans le chapitre 5 de ce travail, nous démontrons que les commissures et la peau sur le corps des oisillons reflètent la lumière dans l'ultraviolet. Nous montrons que les parents utilisent cette réflexion dans l'ultraviolet lors de l'allocation de nourriture pour leurs jeunes.

Microscopic study of He2-SF6 trimers

The He2-SF6 trimers, in their different He isotopic combinations, are studied in the framework of both the correlated Jastrow approach and the correlated hyperspherical harmonics (CHH) expansion method. The energetics and structure of the He-SF6 dimers are analyzed, and the existence of a characteristic rotational band in the excitation spectrum is discussed, as well as the isotopic differences. The binding energies and the spatial properties of the trimers, in their ground and lowest lying excited states, obtained by the Jastrow ansatz are in excellent agreement with the results of the converged CHH expansion. The introduction of the He-He correlation makes all trimers bound by largely suppressing the short range He-He repulsion. The structural properties of the trimers are qualitatively explained in terms of the shape of the interactions, Pauli principle, and masses of the constituents.

Microscopic description of the twist mode in normal and superfluid trapped Fermi gases

We investigate the "twist" mode (rotation of the upper against the lower hemisphere) of a dilute atomic Fermi gas in a spherical trap. The normal and superfluid phases are considered. The linear response to this external perturbation is calculated within the microscopic Hartree-Fock-Bogoliubov approach. In the normal phase the excitation spectrum is concentrated in a rather narrow peak very close to the trapping frequency. In the superfluid phase the strength starts to be damped and fragmented and the collectivity of the mode is progressively lost when the temperature decreases. In the weak-pairing regime some reminiscence of the collective motion still exists, whereas in the strong-pairing regime the twist mode is completely washed out. The disappearance of the twist mode in the strong-pairing regime with decreasing temperature is interpreted in the framework of the two-fluid model.

Collective and single-particle excitations of a trapped Bose gas

The density of states of a Bose-condensed gas confined in a harmonic trap is investigated. The predictions of Bogoliubov theory are compared with those of Hartree-Fock theory and of the hydrodynamic model. We show that the Hartree-Fock scheme provides an excellent description of the excitation spectrum in a wide range of energy, revealing a major role played by single-particle excitations in these confined systems. The crossover from the hydrodynamic regime, holding at low energies, to the independent-particle regime is explicitly explored by studying the frequency of the surface mode as a function of their angular momentum. The applicability of the semiclassical approximation for the excited states is also discussed. We show that the semiclassical approach provides simple and accurate formulas for the density of states and the quantum depletion of the condensate.

Temperature-induced resonances and Landau damping of collective modes in Bose-Einstein condensed gases in spherical traps

Interaction between collective monopole oscillations of a trapped Bose-Einstein condensate and thermal excitations is investigated by means of perturbation theory. We assume spherical symmetry to calculate the matrix elements by solving the linearized Gross-Pitaevskii equations. We use them to study the resonances of the condensate induced by temperature when an external perturbation of the trapping frequency is applied and to calculate the Landau damping of the oscillations.

The influence of the symmetry energy on the giant monopole resonance of neutron-rich nuclei analyzed in Thomas-Fermi theory

We analyze the influence of the density dependence of the symmetry energy on the average excitation energy of the isoscalar giant monopole resonance (GMR) in stable and exotic neutron-rich nuclei by applying the relativistic extended Thomas-Fermi method in scaling and constrained calculations. For the effective nuclear interaction, we employ the relativistic mean field model supplemented by an isoscalar-isovector meson coupling that allows one to modify the density dependence of the symmetry energy without compromising the success of the model for binding energies and charge radii. The semiclassical estimates of the average energy of the GMR are known to be in good agreement with the results obtained in full RPA calculations. The present analysis is performed along the Pb and Zr isotopic chains. In the scaling calculations, the excitation energy is larger when the symmetry energy is softer. The same happens in the constrained calculations for nuclei with small and moderate neutron excess. However, for nuclei of large isospin the constrained excitation energy becomes smaller in models having a soft symmetry energy. This effect is mainly due to the presence of loosely-bound outer neutrons in these isotopes. A sharp increase of the estimated width of the resonance is found in largely neutron-rich isotopes, even for heavy nuclei, which is enhanced when the symmetry energy of the model is soft. The results indicate that at large neutron numbers the structure of the low-energy region of the GMR strength distribution changes considerably with the density dependence of the nuclear symmetry energy, which may be worthy of further characterization in RPA calculations of the response function.

Scaling calculation of isoscalar giant resonances in relativistic Thomas-Fermi theory

We derive analytical expressions for the excitation energy of the isoscalar giant monopole and quadrupole resonances in finite nuclei, by using the scaling method and the extended ThomasFermi approach to relativistic mean-field theory. We study the ability of several nonlinear σω parameter sets of common use in reproducing the experimental data. For monopole oscillations the calculations agree better with experiment when the nuclear matter incompressibility of the relativistic interaction lies in the range 220260 MeV. The breathing-mode energies of the scaling method compare satisfactorily with those obtained in relativistic RPA and time-dependent mean-field calculations. For quadrupole oscillations, all the analyzed nonlinear parameter sets reproduce the empirical trends reasonably well.

Scaling in relativistic Thomas-Fermi approach for nuclei

By using the scaling method we derive the virial theorem for the relativistic mean field model of nuclei treated in the ThomasFermi approach. The ThomasFermi solutions statisfy the stability condition against scaling. We apply the formalism to study the excitation energy of the breathing mode in finite nuclei with several relativistic parameter sets of common use.