Particle creation using the classical stochastic method

TL;DR

This paper demonstrates that the classical stochastic method can accurately compute particle creation in a harmonic oscillator, aligning with quantum predictions, by evolving initial vacuum states with Langevin equations.

Contribution

It shows that the classical stochastic approach reproduces quantum vacuum expectation values and particle creation, providing a new computational tool for quantum dynamics.

Findings

Classical stochastic method reproduces quantum vacuum expectation values.

Particle creation computed matches quantum theory predictions.

Method offers an alternative way to simulate quantum particle dynamics.

Abstract

We compute the particle creation of a harmonic oscillator using the classical stochastic method. This recently constructed method reproduces all the vacuum expectation values in quantum theory. We prepare the vacuum state at the initial time and evolve it over time using Langevin equations of motion. By averaging over the ensemble, we compute the energy of the state at the final time and determine the amount of particles created. We verify that the particle creation agrees with predictions from quantum theory and thus give an evidence that this method can really compute the quantum dynamics.