Approximate evolution for a system composed by two coupled Jaynes-Cummings Hamiltonians

TL;DR

This paper develops an approximate analytical method to model the time evolution of a quantum system consisting of two coupled Jaynes-Cummings Hamiltonians, validated against numerical simulations.

Contribution

It introduces a novel approximate analytical approach for the evolution operator in coupled Jaynes-Cummings systems, enhancing understanding of their dynamics.

Findings

Analytical approximation closely matches numerical results

Validates the effectiveness of the exponential product decomposition

Provides insights into the dynamics of coupled quantum systems

Abstract

In this work we construct an approximate time evolution operator for a system composed by two coupled Jaynes-Cummings Hamiltonians. We express the full time evolution operator as a product of exponentials and we analyze the validity of our approximations contrasting our analytical results with those obtained by purely numerical methods.