Rotating Wave Approximation of the Law's Effective Hamiltonian on the Dynamical Casimir Effect

TL;DR

This paper develops an analytic approximate solution for the Law's effective Hamiltonian in the Dynamical Casimir Effect using a rotating wave approximation, providing a refined understanding of the system's quantum dynamics.

Contribution

It introduces the most precise analytic approximate solution for the Law's effective Hamiltonian in the context of the Dynamical Casimir Effect.

Findings

Analytic solution closely matches numerical results

Enhanced understanding of quantum dynamics in cavity systems

Method applicable to similar quantum systems

Abstract

In this paper we treat the Law's effective Hamiltonian of the Dynamical Casimir Effect in a cavity and construct an analytic approximate solution of the time-dependent Schr{\"o}dinger equation under the general setting through a kind of rotating wave approximation (RWA). To the best of our knowledge this is the finest analytic approximate solution.