Fully antisymmetrised dynamics for bulk fermion systems

TL;DR

This paper presents a method to incorporate periodic boundary conditions into fermionic molecular dynamics, enabling accurate simulation of bulk fermion systems like neutron star crusts while preserving long-range antisymmetrisation effects.

Contribution

It introduces a novel approach to combine periodic boundary conditions with fermionic molecular dynamics without truncating antisymmetrisation correlations.

Findings

Successfully integrates periodic boundaries with fermionic dynamics.

Maintains long-range antisymmetrisation effects in simulations.

Enables realistic modeling of neutron star crusts.

Abstract

The neutron star's crust and mantel are typical examples of non-uniform bulk systems with spacial localisations. When modelling such systems at low temperatures, as is the case in the crust, one has to work with antisymmetrised many-body states to get the correct fermion behaviour. Fermionic molecular dynamics, which works with an antisymmetrised product of localised wave packets, should be an appropriate choice. Implementing periodic boundary conditions into the fermionic molecular dynamics formalism would allow the study of the neutron star's crust as a bulk quantum system. Unfortunately, the antisymmetrisation is a non-local entanglement which reaches far out of the periodically repeated unit cell. In this proceeding, we give a brief overview how periodic boundary conditions and fermionic molecular dynamics can be combined without truncating the long-range many-body correlation induced by the antisymmetry of the many-body state.