Periodic orbit bifurcations and scattering time delay fluctuations

We study fluctuations of the Wigner time delay for open (scattering) systems which exhibit mixed dynamics in the classical limit. It is shown that in the semiclassical limit the time delay fluctuations have a distribution that differs markedly from those which describe fully chaotic (or strongly disordered) systems: their moments have a power law dependence on a semiclassical parameter, with exponents that are rational fractions. These exponents are obtained from bifurcating periodic orbits trapped in the system. They are universal in situations where sufficiently long orbits contribute. We illustrate the influence of bifurcations on the time delay numerically using an open quantum map.Comment: 9 pages, 3 figures, contribution to QMC200

Determining the driving forces to environmental change processes of La Araucanía, Chile. The "cultural landscape" as a framework

Indexación: Scopus; Scielo.El artículo propone el concepto de paisaje cultural como una perspectiva holística de análisis de procesos de transformación del paisaje. Para ello se utilizó como caso de estudio el proceso de degradación ambiental de la región de La Araucanía (Chile). Se esclarecieron las motivaciones de las actuaciones en el territorio y sus fuerzas conductoras. Estas fuerzas se relacionan a objetivos económicos externos a la población local y generaron una transformación del paisaje impactando la forma de vida de sus habitantes, quebrando el acoplamiento estructural entre población y paisaje, resultando en un paisaje cultural degradado ambientalmente.The notion of cultural landscape was deployed to analyze transformation processes of rural landscapes. As a case study, environmental degradation processes in La Araucania (Chile) region were analyzed. The goals of actions over the territory and their driving forces were determined. These actions were related to economic motives external to local inhabitants and produced deep transformations of the landscape and impacted the way of life of its inhabitants, breaking down the structural coupling between population and landscape, resulting in an environmentally degraded cultural landscape.https://scielo.conicyt.cl/scielo.php?script=sci_arttext&pid=S0719-26812017000300051&lng=en&nrm=iso&tlng=e

Semiclassical approach to fidelity amplitude

The fidelity amplitude is a quantity of paramount importance in echo type experiments. We use semiclassical theory to study the average fidelity amplitude for quantum chaotic systems under external perturbation. We explain analytically two extreme cases: the random dynamics limit --attained approximately by strongly chaotic systems-- and the random perturbation limit, which shows a Lyapunov decay. Numerical simulations help us bridge the gap between both extreme cases.Comment: 10 pages, 9 figures. Version closest to published versio

Measuring the Lyapunov exponent using quantum mechanics

We study the time evolution of two wave packets prepared at the same initial state, but evolving under slightly different Hamiltonians. For chaotic systems, we determine the circumstances that lead to an exponential decay with time of the wave packet overlap function. We show that for sufficiently weak perturbations, the exponential decay follows a Fermi golden rule, while by making the difference between the two Hamiltonians larger, the characteristic exponential decay time becomes the Lyapunov exponent of the classical system. We illustrate our theoretical findings by investigating numerically the overlap decay function of a two-dimensional dynamical system.Comment: 9 pages, 6 figure

Cellular-Defined Microenvironmental Internalization of Exosomes

The extracellular environment exhibits a potent effect on cellular growth and development. Exosomes secreted into this milieu carry functional proteins and nucleic acids from the cell of origin to recipient cells, facilitating intercellular communication. This interaction is particularly influential in the tumor microenvironment, transporting oncogenes and oncoproteins within a tumor and to distant sites. The mechanisms by which cells internalize exosomes vary greatly and the factors dictating this process are still unknown. Most cancers show evidence of exosomal transfer of material, but differences in cell type can dictate the effectiveness and extent of the process. Improving therapeutics requires addressing specific cellular functions, illustrating the need to better understand the forces involved in exosome-cell interactions. This review summarizes what is known about the different types of cells that play a role in exosome internalization

Quantum baker maps with controlled-NOT coupling

The characteristic stretching and squeezing of chaotic motion is linearized within the finite number of phase space domains which subdivide a classical baker map. Tensor products of such maps are also chaotic, but a more interesting generalized baker map arises if the stacking orders for the factor maps are allowed to interact. These maps are readily quantized, in such a way that the stacking interaction is entirely attributed to primary qubits in each map, if each subsystem has power-of-two Hilbert space dimension. We here study the particular example of two baker maps that interact via a controlled-not interaction. Numerical evidence indicates that the control subspace becomes an ideal Markovian environment for the target map in the limit of large Hilbert space dimension.Comment: 8 page

Ethical considerations of use of hold-out sets in clinical prediction model management

Clinical prediction models are statistical or machine learning models used toquantify the risk of a certain health outcome using patient data. These can theninform potential interventions on patients, causing an effect called performativeprediction: predictions inform interventions which influence the outcome theywere trying to predict, leading to a potential underestimation of risk in somepatients if a model is updated on this data. One suggested resolution to this isthe use of hold-out sets, in which a set of patients do not receive model derivedrisk scores, such that a model can be safely retrained. We present an overview ofclinical and research ethics regarding potential implementation of hold-out setsfor clinical prediction models in health settings. We focus on the ethical principles of beneficence, non-maleficence, autonomy and justice. We also discussinformed consent, clinical equipoise, and truth-telling. We present illustrativecases of potential hold-out set implementations and discuss statistical issues arising from different hold-out set sampling methods. We also discuss differencesbetween hold-out sets and randomised control trials, in terms of ethics and statistical issues. Finally, we give practical recommendations for researchers interestedin the use hold-out sets for clinical prediction models

Addition Spectra of Chaotic Quantum Dots: Interplay between Interactions and Geometry

We investigate the influence of interactions and geometry on ground states of clean chaotic quantum dots using the self-consistent Hartree-Fock method. We find two distinct regimes of interaction strength: While capacitive energy fluctuations $\delta \chi$ follow approximately a random matrix prediction for weak interactions, there is a crossover to a regime where $\delta \chi$ is strongly enhanced and scales roughly with interaction strength. This enhancement is related to the rearrangement of charges into ordered states near the dot edge. This effect is non-universal depending on dot shape and size. It may provide additional insight into recent experiments on statistics of Coulomb blockade peak spacings.Comment: 4 pages, final version to appear in Phys. Rev. Let