Thermal Quantum Speed Limit for Classical-Driving Open Systems

Quantum speed limit (QSL) time for open systems driven by classical fields is studied in the presence of thermal bosonic environments. The decoherence process is quantitatively described by the time-convolutionless master equation. The evolution speed of an open system is related not only to the strength of driving classical field but also to the environmental temperature. The energy-state population plays a key role in the thermal QSL. Comparing with the zero-temperature reservoir, we predict that the structural reservoir at low temperatures may contribute to the acceleration of quantum decoherence. The manifest oscillation of QSL time takes on under the circumstance of classical driving fields. We also investigate the scaling property of QSL time for multi-particle noninteracting entangled systems. It is demonstrated that entanglement of open systems can be considered as one resource for improving the potential capacity of thermal quantum speedup.