# Numerical approach to simulating interference phenomena in a two-oscillating mirrors cavity

## TL;DR

This paper develops a numerical method to simulate photon creation in cavities with moving mirrors, analyzing various mirror motions and comparing results with analytical predictions to understand mode coupling and energy evolution.

## Contribution

It introduces a numerical approach applicable to multiple cavity configurations, including multi-dimensional cases, and explores non-perturbative effects in photon generation.

## Key findings

- Numerical results align with analytical predictions.
- Intermode coupling significantly affects photon creation.
- Energy density evolution matches theoretical expectations.

## Abstract

We study photon creation in a cavity with two perfectly conducting moving mirrors. We derive the dynamic equations of the modes and study different situations concerning various movements of the walls, such as translational or breathing modes. We can even apply our approach to one or three dimensional cavities and reobtain well known results of cavities with one moving mirror. We compare the numerical results with analytical predictions and discuss the effects of the intermode coupling in detail as well as the non perturbative regime. We also study the time evolution of the energy density as well and provide analytic justifications for the different results found numerically.