Numerical simulation of a macroscopic quantum-like experiment: oscillating wave packet

TL;DR

This paper presents a numerical simulation demonstrating how a classical fluid can exhibit quantum-like behavior, specifically in the form of a non-spreading oscillating wave packet in a harmonic potential, stable under perturbations.

Contribution

It introduces a method to simulate quantum-like phenomena in classical fluids using a generalized quantum potential within a retro-active loop framework.

Findings

Stable quantum-like oscillating wave packets observed.

Signatures of quantum behavior persist despite perturbations.

Simulation provides insights into classical systems mimicking quantum dynamics.

Abstract

We simulate the transformation of a classical fluid into a quantum-like (super)-fluid by the application of a generalized quantum potential through a retro-active loop. This numerical experiment is exemplified in the case of a non-spreading oscillating wave packet in a harmonic potential. We find signatures of a quantum-like behavior which are stable against various perturbations.