Field-level Emulation of Cosmic Structure Formation with Cosmology and Redshift Dependence

Understand

We present a field-level emulator for large-scale structure, capturing the cosmology dependence and the time evolution of cosmic structure formation.

• The emulator maps linear displacement fields to their corresponding nonlinear displacements from N-body simulations at specific redshifts.
• Designed as a neural network, the emulator incorporates style parameters that encode dependencies on $\Omega_{\rm m}$ and the linear growth factor $D(z)$ at redshift $z$.
• We train our model on the six-dimensional N-body phase space, predicting particle velocities as the time derivative of the model's displacement outputs.