# Optimal work-to-work conversion of a nonlinear quantum brownian duet

## TL;DR

This paper investigates the optimal work-to-work conversion in a nonlinear quantum system with two drives, demonstrating conditions for maximizing efficiency, power, and minimizing fluctuations, especially in low-temperature, weak-damping regimes where quantum effects dominate.

## Contribution

It introduces a framework for optimizing work-to-work conversion in nonlinear quantum systems, surpassing classical trade-off bounds under specific quantum conditions.

## Key findings

- Simultaneous maximization of efficiency, power, and low fluctuations is possible.
- Classical trade-off bounds can be undercut in low-temperature, weak-damping regimes.
- Nonlinear driving regimes near power maxima show persistent optimal features.

## Abstract

Performances of work-to-work conversion are studied for a dissipative nonlinear quantum system with two isochromatic phase-shifted drives. It is shown that for weak Ohmic damping simultaneous maximization of efficiency with finite power yield and low power fluctuations can be achieved. Optimal performances of these three quantities are accompanied by a shortfall of the trade-off bound recently introduced for classical thermal machines. This bound can be undercut down to zero for sufficiently low temperature and weak dissipation, where the non-Markovian quantum nature dominates. Analytic results are given for linear thermodynamics. These general features can persist in the nonlinear driving regime near to a maximum of the power yield and a minimum of the power fluctuations. This broadens the scope to a new operation field beyond linear response.