A Quantum Model for Cold Dark Matter

by Sandro Wimberger (Università di Parma)

Friday Sep 12, 2025, 2:15 PM → 3:45 PM Europe/Berlin

D6-135 (UHG)

We compare two different numerical methods to integrate nonlinear Schrödinger equations. In particular, we are interested in the Schrödinger-Poisson model with an auto-gravitating potential created by the wave function density itself. We understand and can control the unusual relaxation process occurring in one dimension due to the scale-free long-range interaction. The formation of structure is investigated for localized as well as noisy initial states, for static and expanding background, as well as in real- and imaginary-time evolution.
Our findings are relevant for the interpretation of simulation data modeling nonrelativistic fuzzy cold dark matter in reduced dimensions, in the quest for testing such models, and for possible laboratory implementations of them.

References
1. T. Zimmermann, N. Schwersenz, M. Pietroni, and S. Wimberger, One-Dimensional Fuzzy Dark  
    Matter Models: Structure Growth and Asymptotic Dynamics, Phys. Rev. D 103, 083018 (2021)
2. N. Schwersenz, V. Loaiza, T. Zimmermann, J. Madronero, and S. Wimberger, Comparison of two
    different integration methods for the (1+1)-Dimensional Schroedinger-Poisson Equation, Comp.
    Phys. Comm. 300, 109192 (2024)

2025-09-12_Wimberger_Sandro.pdf