On the linear friction many-body equation for dissipative spontaneous wavefunction collapse

TL;DR

This paper develops a universal dissipative Lindblad master equation for many-body systems, extending spontaneous wave function collapse models with a linear friction assumption, and analyzes its implications for fundamental decoherence theories.

Contribution

It introduces a universal dissipative extension of spontaneous collapse models based on a second-quantized framework with linear friction in the current.

Findings

Derived a constrained dissipative Lindblad equation for many-body systems.

Extended Dif3si-Penrose and CSL models with dissipation.

Provided analysis of dissipative effects on spontaneous collapse mechanisms.

Abstract

We construct and study the simplest universal dissipative Lindblad master equation for many-body systems with the purpose of a new dissipative extension of existing nonrelativistic theories of fundamental spontaneous decoherence and spontaneous wave function collapse in nature. It is universal as it is written in terms of second-quantized mass density $\hat \rho$ and current $\hat J$, thus making it independent of the material structure and its parameters. Assuming linear friction in the current, we find that the dissipative structure is strictly constrained. Following the general structure of our dissipative Lindblad equation, we derive and analyze the dissipative extensions of the two most known spontaneous wave function collapse models, the Di\'osi-Penrose and the continuous spontaneous localization models.