Gravity as a classical channel and its dissipative generalization

TL;DR

This paper extends models of gravity as a classical channel by introducing dissipation, leading to thermalization at finite temperature and addressing energy divergence issues in quantum gravitational interactions.

Contribution

It proposes a dissipative generalization of classical gravity models that results in system thermalization, improving the physical realism of quantum gravity simulations.

Findings

Systems thermalize to an effective finite temperature.

Dissipative models prevent asymptotic energy divergence.

Enhanced realism in quantum gravity modeling.

Abstract

Recent models formulated by Kafri, Taylor, and Milburn and by Tilloy and Diosi describe the gravitational interaction through a continuous measurement and feedback protocol. In such a way, although gravity is ultimately treated as classical, they can reconstruct the proper quantum gravitational interaction at the level of the master equation for the statistical operator. Following this procedure, the price to pay is the presence of decoherence effects leading to an asymptotic energy divergence. One does not expect the latter in isolated systems. Here, we propose a dissipative generalization of these models. We show that, in these generalizations, in the long time limit, the system thermalizes to an effective finite temperature.