# Optimal amplification of the dynamical Casimir effect in a parametrically driven system

## TL;DR

This paper explores strategies to significantly enhance photon generation via the dynamical Casimir effect in a cavity, demonstrating the effectiveness of bang-bang and quantum optimal control methods for potential experimental realization.

## Contribution

It introduces and compares different control strategies, including bang-bang and quantum optimal control, to maximize photon production in a cavity within the Rabi model.

## Key findings

- Bang-bang control enhances photon generation by up to ten times.
- Quantum optimal control further increases photon yield by about an order of magnitude.
- Optimized protocols are robust against errors and noise.

## Abstract

We introduce different strategies to enhance photon generation in a cavity within the Rabi model in the ultrastrong coupling regime. We show that a bang-bang strategy allows to enhance the effect of up to one order of magnitude with respect to simply driving the system in resonance for a fixed time. Moreover, up to about another order of magnitude can be gained exploiting quantum optimal control strategies. Finally, we show that such optimized protocols are robust with respect to systematic errors and noise, paving the way to future experimental implementations of such strategies.