Gravitational collapse in the Schrödinger-Poisson system

Abstract

We perform a quantitative comparison between N-body simulations and the Schrödinger-Poisson system in 1+1 dimensions. In particular, we study halo formation with different initial conditions. We observe the convergence of various observables in the Planck constant h-bar and also test virialization. We discuss the generation of higher order cumulants of the particle distribution function which demonstrates that the Schrödinger-Poisson equations should not be perceived as a generalization of the dust model with quantum pressure but rather as one way of sampling the phase space of the Vlasov-Poisson system -- just as N-body simulations. Finally, we quantitatively recover the scaling behavior of the halo density profile from N-body simulations.

arXiv comment18 pages, 7 figures

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Cited by in corpus (12)

• On the Schrodinger-Poisson--Vlasov-Poisson correspondence
• Jeans instability and turbulent gravitational collapse of Bose-Einstein Condensate dark matter halos
• Semiclassical path to cosmic large-scale structure
• Towards Cosmological Simulations of Dark Matter on Quantum Computers
• The Schrödinger-Poisson method for Large-Scale Structure
• Perturbation theory with dispersion and higher cumulants: framework and linear theory
• Finding closure: approximating Vlasov-Poisson using finitely generated cumulants
• Evolution of dark matter velocity dispersion
• Investigating the use of field solvers for simulating classical systems
• Kinetic theory and classical limit for real scalar quantum field in curved space-time
• One-Dimensional Fuzzy Dark Matter Models: Structure Growth and Asymptotic Dynamics
• Field-theoretic approach to large-scale structure formation