Intrinsic decoherence for the displaced harmonic oscillator

TL;DR

This paper investigates the intrinsic decoherence effects on a displaced harmonic oscillator by solving the Milburn equation beyond the Lindblad form, analyzing how quantum states evolve over time.

Contribution

It provides a complete solution to the Milburn equation for the displaced harmonic oscillator, extending beyond the Lindblad form, and studies the dynamics of quantum states under intrinsic decoherence.

Findings

Expectation values of position quadrature decay over time.

Number operator expectation values show decoherence effects.

Results apply to initial coherent and squeezed states.

Abstract

By using the complete solution of the Milburn equation (beyond the Lindblad form that it is generally used) that describes intrinsic decoherence, we study the decaying dynamics of a displaced harmonic oscillator. We calculate the expectation values of position quadrature, and the number operator in initial coherent and squeezed states.