Convergence and adiabatic elimination for a driven dissipative quantum harmonic oscillator

R Azouit (1) , Alain Sarlette (2) , Pierre Rouchon (1, 2)

1 CAS - Centre Automatique et Systèmes
2 QUANTIC - QUANTum Information Circuits

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.

Domaines: Automatique / Robotique

R Azouit, Alain Sarlette, Pierre Rouchon. Convergence and adiabatic elimination for a driven dissipative quantum harmonic oscillator. 54th IEEE Conference on Decision and Control (CDC 2015), Dec 2015, Osaka, Japan. ⟨hal-01245092⟩