Federal University of São Carlos

About: Federal University of São Carlos is a education organization based out in São Carlos, Brazil. It is known for research contribution in the topics: Population & Microstructure. The organization has 16471 authors who have published 34057 publications receiving 456654 citations. The organization is also known as: UFSCar & Federal University of São Carlos.

Quantitative Derivation of the Gross-Pitaevskii Equation

Abstract: Starting from first-principle many-body quantum dynamics, we show that the dynamics of Bose-Einstein condensates can be approximated by the time-dependent nonlinear Gross-Pitaevskii equation, giving a bound on the rate of the convergence. Initial data are constructed on the bosonic Fock space applying an appropriate Bogoliubov transformation on a coherent state with expected number of particles $\mathit{N}$. The Bogoliubov transformation plays a crucial role; it produces the correct microscopic correlations among the particles. Our analysis shows that, on the level of the one-particle reduced density, the form of the initial data is preserved by the many-body evolution, up to a small error that vanishes as $\mathit{N}^{-1/2}$ in the limit of large $\mathit{N}$.

Responsible innovation across borders: tensions, paradoxes and possibilities

Abstract: In March 2014 a group of early career researchers and academics from Sao Paulo state and from the UK met at the University of Campinas to participate in a workshop on ‘Responsible Innovation and the Governance of Socially Controversial Technologies’. In this Perspective we describe key reflections and observations from the workshop discussions, paying particular attention to the discourse of responsible innovation from a cross-cultural perspective. We describe a number of important tensions, paradoxes and opportunities that emerged over the three days of the workshop.