i-SPin: an integrator for multicomponent Schrödinger-Poisson systems with self-interactions

Jain, Mudit; Amin, Mustafa A.

doi:10.1088/1475-7516/2023/04/053

i-SPin: an integrator for multicomponent Schrödinger-Poisson systems with self-interactions

Journal Article · 01 April 2023 · Journal of Cosmology and Astroparticle Physics

DOI:https://doi.org/10.1088/1475-7516/2023/04/053· OSTI ID:2421946

Jain, Mudit ^[1]; Amin, Mustafa A.

OSTI

Abstract

We provide an algorithm and a publicly available code to numerically evolve multicomponent Schrödinger-Poisson (SP) systems with a SO(n) symmetry, including attractive or repulsive self-interactions in addition to gravity. Focusing on the case where the SP system represents the non-relativistic limit of a massive vector field, non-gravitational self-interactions (in particular spin-spin interactions) introduce complexities related to mass and spin conservation which are not present in purely gravitational systems. We address them with an analytical solution for the `kick' step in the algorithm, where we are able to decouple the multicomponent system completely. Equipped with this analytical solution, the full field evolution is second order accurate, preserves spin and mass to machine precision, and is reversible. Our algorithm allows for an expanding universe relevant for cosmology, and the inclusion of external potentials relevant for laboratory settings.

Research Organization:: Rice Univ., Houston, TX (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

DOE Contract Number:: SC0021619

OSTI ID:: 2421946

Journal Information:: Journal of Cosmology and Astroparticle Physics, Journal Name: Journal of Cosmology and Astroparticle Physics Journal Issue: 04 Vol. 2023; ISSN 1475-7516

Publisher:: Institute of Physics (IOP)

Country of Publication:: United States

Language:: English

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