English

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

Quantum Physics 2023-07-07 v2

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 ρ^\hat \rho and current J^\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.

Keywords

Cite

@article{arxiv.2301.07661,
  title  = {On the linear friction many-body equation for dissipative spontaneous wavefunction collapse},
  author = {Giovanni Di Bartolomeo and Matteo Carlesso and Kristian Piscicchia and Catalina Curceanu and Maaneli Derakhshani and Lajos Diósi},
  journal= {arXiv preprint arXiv:2301.07661},
  year   = {2023}
}
R2 v1 2026-06-28T08:14:42.725Z