Section: New Results

Convergence and adiabatic elimination for a driven dissipative quantum harmonic oscillator

Participants: Rémi Azouit, Alain Sarlette, Pierre Rouchon

The results of this section were published in [30] .

We prove that a harmonic oscillator driven by Lindblad dynamics where the typical drive and loss channels are two-photon processes instead of single-photon ones, converges to a protected subspace spanned by two coherent states of opposite amplitude. We then characterize the slow dynamics induced by a perturbative single-photon loss on this protected subspace, by performing adiabatic elimination in the Lindbladian dynamics.