Wolfgang Pauli Institute (WPI) Vienna
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|Tournus Magali (╔cole Centrale de Marseille)||Oskar-Morgenstern-Platz 1, H÷rsaal 2, ground floor.||Thu, 23. Nov 17, 14:15|
|Scalar conservation laws with heterogeneous flux in the BV framework|
We consider a scalar conservation law with a flux containing spatial heterogeneities of bounded variation, where the number of discontinuities may be infinite. We address the question of existence of an adapted entropy solution in the BV framework. A sufficient key condition guaranteeing existence is identified and new BV estimates are given. This provides the most general BV theory available. Moreover, we show with a counter-example that if this hypothesis is violated, the problem may be ill-posed in the BV framework.
|Lode Axel||ATI; Stadionallee 2, 1020 Wien||Thu, 9. Feb 17, 11:00|
|The multiconfigurational time-dependent Hartree method for indistinguishable particles -- overview and application to composite fragmentation of ultracold multicomponent bosons|
In this talk, I will review recent research and progress using the multiconfigurational time-dependent Hartree for indistinguishable particles method to obtain highly accurate solutions of the time-dependent many-body Schr"odinger equation for interacting, indistinguishable particles. As an example, I will focus on ultracold bosonic particles with internal degrees of freedom described by the multiconfigurational time-dependent Hartree for bosons method. For the groundstate of N=100 parabolically confined bosons with two internal states, fragmentation emerges as a function of the separation between the state-dependent minima of the two parabolic potentials: for small separations, the bosons occupy only one single-particle state while for larger separations, two single-particle states contribute macroscopically. The coherence of the system is maintained within each internal state of the atoms. Between the different internal states, however, correlations are built up and the coherence is lost for larger separations. This is a hallmark of a new kind of fragmentation -- "composite fragmentation" -- which is absent in bosons without internal structure.
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