Erlangen 2018 – wissenschaftliches Programm
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Q: Fachverband Quantenoptik und Photonik
Q 59: Quantum Gases (Bosons) VI
Q 59.3: Vortrag
Donnerstag, 8. März 2018, 11:00–11:15, K 2.020
A Simple Model for the Temporal Evolution of Cold Dark Matter — •Tim Zimmermann1, Luca Amendola1, Massimo Pietroni2, and Sandro Wimberger2 — 1ITP, Universität Heidelberg, 69120 Heidelberg — 2Dipartimento di Scienze Matematiche, Fisiche e Informatiche, Università di Parma, 43124 Parma & INFN, Sezione di Milano Bicocca, Gruppo Collegato di Parma, 43124 Parma
Cold dark matter (CDM) is typically modeled as a collisionless, irrotational fluid, trapped in its own gravitational potential, obeying the classical Euler-Poisson equations. However, a straight forward analyis shows that CDM can also be treated in a quantum dynamical framework if one chooses a particular ansatz for the wave function. In doing so, the temporal evolution of CDM is governed by a nonlinear Schrödinger equation describing CDM as self-interacting, self-gravitating Bose-Einstein condensate. Modeling the dynamics of cold dark matter in terms of the Gross-Pitaevskii-Poisson system turns out to be an elegant describtion of structure formation comparable to classical cosmological approaches, especially on large cosmic scales. On smaller scales gravitational collapse is balanced by a "quantum pressure" that resembles Heisenbergs' uncertainty principle. We present a comprehensive numerical method to perform the time evolution of the described wave-like CDM. Results for both synthetic and cosmological initial conditions are presented.