Convergence and adiabatic elimination for a driven dissipative quantum harmonic oscillator

— 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 Lindblad dynamics.

• Type: Journal
• Year: 2015
• Where: CDC
• Authors: R. Azouit, Alain Sarlette, Pierre Rouchon
• Keywords: CDC 2015, Control Systems