Non-Markovian memory effects in DOPA-enhanced nonreciprocal charging

Investigate how non-Markovian memory effects in structured common reservoirs with finite correlation times interplay with DOPA-induced parametric amplification and determine whether reservoir engineering can exploit those memory effects to improve or dynamically control the stored energy and charging power of the nonreciprocal quantum battery.

Background

The paper analyzes a two-mode quantum battery consisting of a coherently coupled charger and battery, with nonreciprocal energy transfer generated through common-reservoir engineering and additional parametric amplification supplied by a degenerate optical parametric amplifier (DOPA). The analysis assumes Markovian reservoirs, allowing the reservoir-induced interactions to be represented by effective dissipative couplings and yielding analytical steady-state energies and charging powers.

The authors identify structured non-Markovian environments with finite correlation times as an unresolved extension. Reservoir memory could alter the effective dissipative interaction and generate energy backflow, potentially changing both the directional charging dynamics and the enhancement produced by the DOPA. The open issue is whether such memory can be engineered beneficially rather than merely treated as a source of deviation from the Markovian results.