Dissipative collapse models with non-white noises

TL;DR

This paper introduces a novel quantum collapse model that incorporates both memory effects and dissipation, providing explicit solutions and analyzing the collapse dynamics for Gaussian states.

Contribution

It presents the first model combining non-white noise with dissipative effects in quantum collapse theories, deriving the non-local action and solving for a harmonic oscillator.

Findings

Derived the non-local action for the combined effects.

Provided explicit Green's function for the process.

Analyzed collapse behavior for Gaussian wave functions.

Abstract

We study the generalization of the QMUPL model which accounts both for memory and dissipative effects. This is the first model where both features are combined. After having derived the non-local Action describing the system, we solve the equation for a quantum harmonic oscillator via the path integral formalism. We give the explicit expression for the Green's function of the process. We focus on the case of an exponential correlation function and we analyze in detail the behavior Gaussian wave functions. We eventually study the collapse process, comparing the results with those of previous models.