Seminar
Time-efficient simulation methods with quantum analogy for cosmic large-scale structure
by
→
Australia/Sydney
Description
Upcoming cosmological surveys demand fast and accurate simulations to extract cosmological information from next-generation observational data. In my last year's talk, I presented BullFrog, the most efficient time integrator for classical N-body simulations of large-scale structure, based on second-order Lagrangian Perturbation Theory (2LPT), which provides accurate solutions to the Vlasov–Poisson equations at reduced computational cost.
In this follow-up, I consider the Schrödinger–Poisson system — a quantum-inspired framework that models dark matter with a wavefunction. While the formalism is well established, existing simulations remain computationally expensive. I present the first fast forward model within this setting, achieving accurate results with only a handful of time steps by leveraging analytic insights from 2LPT. I will demonstrate the convergence behaviour and computational advantages of this approach, and present preliminary results from test problems and simulations with Gaussian initial conditions.
Literature:
- Rampf, List and Hahn, BullFrog: multi-step perturbation theory as a time integrator for cosmological simulations, JCAP 02 (2025), 020, arXiv:2409.19049
- List, Hahn and Rampf, Starting Cosmological Simulations from the Big Bang, PRL 132 (2024) no.13, arXiv:2309.10865
- Uhlemann, Rampf, Gosenca and Hahn, Semiclassical path to cosmic large-scale structure, PRD 99 (2019) no.8, 083524, arXiv:1812.05633