Floquet time-convolutionless master equation for non-Markovian driven quantum systems

• URL: http://arxiv.org/abs/2607.24406v1
• Date: Mon, 27 Jul 2026 13:22:22 GMT
• Title: Floquet time-convolutionless master equation for non-Markovian driven quantum systems
• Abstract summary: We study the dynamics of open quantum systems driven by an external time-periodic force.<n>We derive a time-local quantum master equation which takes into account the periodic driving.<n>We show that this master equation is capable of describing strong non-Markovian effects.
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• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: We study the dynamics of open quantum systems driven by an external time-periodic force. Combining Floquet theory and the time-convolutionless projection operator technique we derive a time-local quantum master equation which exactly takes into account the periodic driving, while treating the system-environment interaction within second order in the coupling strength without performing the Markov approximation. The resulting equation of motion for the reduced density matrix is called Floquet time-convolutionless master equation. Employing the example of the driven spin-boson system, we demonstrate that this master equation is capable of describing strong non-Markovian effects, while yielding the Floquet-Lindblad master equation in the Markovian limit. A characteristic feature of memory effects in such driven dissipative systems is the emergence of sharp peaks of the trace-distance based non-Markovianity measure as a function of the driving amplitude, which can be traced back to quasienergy crossings leading to almost decoherence-protected subspaces through a quasienergy-induced dissipative decoupling mechanism.

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