Intrinsic decoherence dynamics in the three-coupled harmonic oscillators interaction

TL;DR

This paper investigates the intrinsic decoherence dynamics in a system of three coupled quantum harmonic oscillators using the Milburn equation, providing explicit solutions beyond common approximations and analyzing expectation values of modes.

Contribution

It offers an exact solution to the Milburn equation for three coupled oscillators, extending beyond second order approximations and the Lindblad form.

Findings

Explicit solutions for the decoherence dynamics are derived.

The expectation values of the number operators are calculated for initial coherent states.

The study enhances understanding of intrinsic decoherence in multi-mode quantum systems.

Abstract

Applying the Milburn equation to describe intrinsic decoherence, we study the interaction of three-coupled quantum harmonic oscillators or quantized fields. We give an explicit solution for the complete equation, i.e., beyond the usual second order approximation used to arrive to the Lindblad form. Then we calculate the expectation value of the number operator of each oscillator or mode for one of the modes given in an initial coherent