Large Amplitude motion with a stochastic mean-field approach

TL;DR

This paper introduces a stochastic mean-field approach that improves the description of quantum fluctuations and dynamics near phase transitions, especially in fusion and transfer reactions, by considering an ensemble of initial conditions.

Contribution

The paper presents a stochastic mean-field method that enhances the standard TDHF by incorporating correlations through initial condition ensembles.

Findings

Better description of fluctuations compared to standard TDHF.

Effective treatment of dynamics near quantum phase transitions.

Significant improvement in modeling mass dispersion in reactions.

Abstract

In the stochastic mean-field approach, an ensemble of initial conditions is considered to incorporate correlations beyond the mean-field. Then each starting pont is propagated separately using the Time-Dependent Hartree-Fock equation of motion. This approach provides a rather simple tool to better describe fluctuations compared to the standard TDHF. Several illustrations are presented showing that this theory can be rather effective to treat the dynamics close to a quantum phase transition. Applications to fusion and transfer reactions demonstrate the great improvement in the description of mass dispersion.