Work

Linear-friction many-body equation for dissipative spontaneous wave-function collapse

Year: 2023
Type: article
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 $\stackrel{\ifmmode \hat{}\else \^{}\fi{}}{\ensuremath{\varrho}}$ and current $\stackrel{\ifmmode \hat{}\else \^{}\fi{}}{\mathbf{J}}$, 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.
Language: English
Open Access status: hybrid
Estimated APC paid: $2,675
OpenAlex ID: W4383341575
FWCI: 1.145
Cites: 26
Cited by: 10
Related to: 10