# On the Unruh effect, trajectories and information

## TL;DR

This paper identifies optimal non-uniform acceleration trajectories that maximize the Unruh effect and demonstrates that the Unruh spectrum encodes complete information about an observer's trajectory.

## Contribution

It introduces a method to find trajectories that maximize the Unruh effect for a given energy budget and shows the spectrum's potential to reconstruct trajectories.

## Key findings

- Optimal trajectories are non-uniform and depend on experimental constraints.
- Unruh spectra contain full information to reconstruct observer trajectories.
- Maximizing the Unruh effect could improve its observability.

## Abstract

We calculate the trajectories which maximize the Unruh effect, mode by mode, when given a fixed energy budget for acceleration. We find that Unruh processes are most likely to occur, and therefore potentially best observable, for certain trajectories whose acceleration is not uniform. In practice, the precise form of optimal trajectories depends on experimental bounds on how fast the acceleration can be changed. We also show that the Unruh spectra of arbitrarily accelerated observers contain the complete information to reconstruct the observers' trajectories.