Nuclear equation of state from the in-medium similarity renormalization group with numerical extrapolations and symmetry guided optimizations

The nuclear equation of state (EOS) is of great interest because it ties nuclear structure calculations to astrophysical observables. The in-medium similarity renormalization group (IMSRG) is an iterative and non-perturbative operator diagonalization method that calculates total energies of a many body system using a nucleon-nucleon interaction. In this work, the IMSRG is used to calculate the EOS using the chiral N2LO optical potential. The IMSRG transformations are done in a finite box with finite basis functions- which introduces uncertainties in computed energies. To avoid finite size effects, it is essential to maximize the used model space. This becomes computationally expensive rapidly. Hence, it is of interest to extract and exploit information about the system at the operator level. In this talk, I will introduce our recent work numerically extrapolating to converged IMSRG energies using a few sample points. I will discuss subtle simplifications to IMSRG transformations due to emergent symmetries from a plane wave basis. Moreover, I will show the equation of state calculated with the IMSRG using the N2LO optical potential.