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Description
The ultrastrong coupling regime of the quantum Rabi model has become increasingly accessible in recent years.
A particularly promising platform is provided by nanomechanical systems coupled to charge degrees of freedom.
In this work, we consider a quantum mechanical oscillator strongly coupled to a double quantum dot in a regime where the bare energy scales are highly detuned, while the coupling strength ranges from weak to deep-strong relative to the oscillator frequency.
Assuming that dissipation is predominantly introduced via the electronic subsystem, we investigate the driven mechanical dynamics across the quantum-to-classical transition.
We derive a Lindblad master equation that yields a simple and unified description spanning the fully quantum and classical limits, while also capturing the less understood intermediate crossover regime.