Auxiliary open quantum system for the Floquet quantum master equation

TL;DR

This paper introduces an auxiliary open quantum system that reproduces the quantum trajectory ensemble of a periodically driven system governed by the Floquet quantum master equation, maintaining coherent dynamics over time.

Contribution

It presents a novel construction of an auxiliary system that aligns quantum trajectories with the original Floquet system, even with modified Lindblad operators.

Findings

Auxiliary system generates consistent quantum trajectory ensembles.

Coherent dynamics remain unchanged in the auxiliary system.

Illustrated with a periodically driven two-level quantum system.

Abstract

By directly using the probability formulas of quantum trajectories, we construct an auxiliary open quantum system for a periodically driven open quantum system whose dynamics is governed by the Floquet quantum master equation. This auxiliary system can generate a quantum trajectory ensemble that is consistent with the canonical quantum trajectory ensemble. We find that, at a long time limit, though the Lindblad operators are modified, the coherent dynamics of the auxiliary system is the same as that of the original system. A periodically driven two-level quantum system is used to illustrate this construction.