Real-time calculations of many-body dynamics in quantum systems

TL;DR

This paper presents real-time computational methods for nuclear many-body quantum systems, including tunneling, strength functions, and density-functional theory, to improve the understanding of nuclear dynamics and reactions.

Contribution

It introduces real-time approaches for nuclear dynamics, incorporating density-functional theory to handle complex many-body interactions beyond simple models.

Findings

Successful calculation of nuclear tunneling and fusion processes.

Accurate photoabsorption cross sections for 238U.

Effective incorporation of state dependence in density-functional models.

Abstract

Real-time computation of time-dependent quantum mechanical problems are presented for nuclear many-body problems. Quantum tunneling in nuclear fusion at low energy is described using a time-dependent wave packet. A real-time method of calculating strength functions using the time-dependent Schroedinger equation is utilized to properly treat the continuum boundary condition. To go beyond the few-body models,we resort to the density-functional theory. The nuclear mean-field models are briefly reviewed to illustrate its foundation and necessity of state dependence in effective interactions. This state dependence is successfully taken into account by the density dependence, leading to the energy density functional. Photoabsorption cross sections in 238U are calculated with the real-time method for the time-dependent density-functional theory.