On the dilaton gravity of analogue black holes

TL;DR

This paper explores which dilaton gravity models can replicate two-dimensional analogue black holes in laboratory settings, analyzing their temperature properties and linking theoretical models to experimental realizations.

Contribution

It identifies conditions for dilaton models to mimic analogue black holes and connects established models to laboratory implementation requirements.

Findings

Analogue black holes' temperature can be made state-dependent or independent.

Current analogue black holes do not match known dilaton gravity models.

Theoretical conditions for laboratory realization can be derived from established dilaton models.

Abstract

We investigate which dilaton gravity models can reproduce the typical two dimensional analogue black holes realized in platforms such as superconducting quantum circuits. We identify the most reasonable assumptions these models must satisfy, and determine the dilaton models for which the state-dependence of the Hawking temperature, T, can be switched on and off, a feature that is absent in four dimensional black holes. When the analogue black hole exhibits state-independent temperature, as in the cases considered here, the kinematics governing T decouples from the dynamics underlying S. Our numerical analysis reveals that the given analogue black holes do not correspond to known dilaton gravity models, limiting their usefulness for extracting theoretical insights. We then show that the logic can be easily reversed: starting from established well known dilaton models, one can derive the conditions that laboratory implementations must satisfy. This shifts the challenge from the theoretical perspective to the experimental realization.