Time-dependent charged particle stopping in quantum plasmas: testing the G1-G2 scheme for quasi-one-dimensional systems

TL;DR

This paper applies the G1-G2 scheme to simulate the time-dependent behavior of charged particles in quantum plasmas, specifically in a quasi-one-dimensional model, to test its effectiveness for dense, out-of-equilibrium systems.

Contribution

It demonstrates the application of the novel G1-G2 scheme to quantum plasma dynamics in a quasi-one-dimensional setting, extending its testing beyond previous contexts.

Findings

G1-G2 scheme successfully adapted to momentum space

First results show promising performance in quantum plasma simulations

Potential for studying thermalization in dense quantum systems

Abstract

Warm dense matter--an exotic, highly compressed state on the boarder between solid and plasma phases is of high current interest, in particular for compact astrophysical objects, high pressure laboratory systems, and inertial confinement fusion. For many applications the interaction of quantum plasmas with energetic particles is crucial. Moreover, often the system is driven far out of equilibrium. In that case, there is high interest in time-dependent simulations to understand the physics, in particular, during thermalization. Recently a novel many-particle technique, the G1--G2 scheme was presented [N. Schl\"unzen et al., Phys. Rev. Lett. \textbf{124}, 076601 (2020)] which allows for first-principle simulations of the time evolution of interacting quantum systems. Here we apply this scheme to a spatially uniform dense quantum plasma (jellium) and explore its performance. To this end the G1-G2 scheme is transformed into momentum representation, and first results are presented for a quasi-one-dimensional model system.