# Simulation of Quantum Universe

## TL;DR

This paper explores how to simulate the quantum universe, specifically the Friedmann-Robertson-Walker model, using controllable quantum systems like ion traps and scalar fields in magnetic fields, advancing quantum cosmology research.

## Contribution

It introduces novel methods for simulating quantum cosmological models with time-dependent oscillators and scalar fields using ion traps and quantum electrodynamics.

## Key findings

- Quantum states of time-dependent oscillators are constructed via quantum invariants.
- Simulation of quantum Friedmann-Robertson-Walker universe with scalar fields is proposed.
- Analysis of wave function evolution in the simulated universe.

## Abstract

Quantum simulation provides quantum systems under study with analogous controllable quantum systems and has wide applications from condensed-matter physics to high energy physics and to cosmology. The quantum system of a homogeneous and isotropic field in the Friedmann-Robertson-Walker universe can be simulated by a charge in an electrically modulated ion trap. The quantum states of these time-dependent oscillators are constructed by quantum invariants. Further, we propose simulation of quantum Friedmann-Robertson-Walker universe with a minimal massive scalar field by a charged scalar field in a homogeneous, time-dependent, magnetic field in quantum electrodynamics and investigate the Cauchy problem of how the wave functions evolve.