Quantal corrections to mean-field dynamics including pairing

TL;DR

This paper introduces an extended stochastic mean-field approach that includes pairing correlations, allowing for a more accurate dynamical description of many-body quantum systems by incorporating initial fluctuations and breaking particle-number symmetry.

Contribution

The paper proposes a novel method combining stochastic mean-field dynamics with pairing, enhancing the description of quantum correlations in many-body systems.

Findings

Improved dynamical modeling of pairing correlations.

Enhanced accuracy over traditional mean-field methods.

Application demonstrated on a pairing Hamiltonian system.

Abstract

Extending the stochastic mean-field model by including pairing, an approach is proposed for describing evolutions of complex many-body systems in terms of an ensemble of Time-Dependent Hartree-Fock Bogoliubov trajectories which is determined by incorporating fluctuations in the initial state. Non-linear evolution of the initial fluctuations provides an approximate description of quantal correlations and fluctuations of collective observables. Since the initial-state fluctuations break the particle-number symmetry, the dynamical description in which pairing correlations play a crucial role is greatly improved as compare to the mean-field evolution. The approach is illustrated for a system of particles governed by a pairing Hamiltonian.