Entanglement dynamics of coupled oscillators from Gaussian states

TL;DR

This paper investigates the time evolution of entanglement in a system of two coupled harmonic oscillators using a Gaussian-based numerical method, comparing results with analytical solutions to validate the approach.

Contribution

It introduces a numerical method based on Gaussian approximation of the Wigner function to study entanglement dynamics in coupled oscillators, validated against analytical entropy calculations.

Findings

Numerical method accurately tracks entanglement entropy over time.

Comparison shows good agreement between numerical and analytical results.

Method effectively handles various frequency configurations.

Abstract

In this work, we explore the dynamics of entanglement of an isolated quantum system consisting of two time-dependent, coupled harmonic oscillators. Through the use of a numerical method that relies on the estimation of the system's Wigner representation by a specific Gaussian function, we investigate the time evolution of the entanglement entropy after an instant quench in the inherent parameters of the system. Besides, from the comparison of the results obtained from the analytical expression for the time-dependent von Neumann entropy with the numerically computed entropy data, the effectiveness of the numerical method is tested for a variety of angular frequency combinations. Also, we analyze how the entropy of entanglement change as a function of time.